[Physics Class Notes] on Spherical Mirror Formula Pdf for Exam

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The mirrors which we use in the cars to see the back side are known as the spherical mirrors. The mirrors which are the spherical one, are the mirrors having curved surfaces that are painted on one of their sides. The spherical mirror is a mirror in which inward surfaces are painted and are called convex mirrors while the mirrors in which outward surfaces are painted are called concave mirrors. In this article we are going to discover more about the topic.

Surface Area of a Cylinder

A cylinder generally is a three-dimensional structure having circular bases parallel to each other. Generally we see that the area of the three-dimensional shapes refers to the surface area. The surface area that is represented is in the units of square. For example we can say that cm2, m2, and so on etc. A cylinder which we are talking here can be seen as a set of circular disks that are stacked on one another.  Since we see that the cylinder is a solid of a shape which is three-dimensional  it has both volume and surface area. 

The area of the cylinder is defined as the sum of the curved surface and the area of two circular bases of the cylinder.

The area of the cylinder is said to be the total region which is covered by a cylinder in three-dimensional space. The area of a cylinder is said to be equal to the sum of the area of two circular bases and curved in area of surface. In right cylinders the two bases which are circular are exactly over each other and the axis line produces a right angle to the base. In case if one of the bases which is circular  is displaced and the axis does not produce the right angle to the base then it is known as the oblique cylinder.

In the middle of the two bases of  circular, there is a surface which is curved which when opened generally represents a rectangular shape. This is a curved surface and is also known as the lateral surface. The different parameters that are used to calculate the area of the cylinder include height and radius, axis, base, and side. The radius which is of the cylinder is generally defined as the radius of the circular base.

Surface Area of a Sphere

 A Sphere that is a three-dimensional solid is having a round shape that is just like a circle. The formula which is of total surface area of a sphere that too in terms of pi denoted by π is given by:

The surface area is given as =  4 π r2 square units

The difference between a sphere and a circle is that a circle is a figure which is two-dimensional or we can say that a flat shape whereas a sphere is a shape which is three-dimensional. Therefore we can say that the area of the circle is different from the area of the sphere. 

Area of circle is denoted as = π r2 

From a perspective which is visual, a sphere has a three-dimensional structure that forms by rotating a disc that is circular with one of the diagonals.

Let us consider that an instance where spherical ball faces are painted. To paint the whole surface we can see that the paint quantity required has to be known beforehand. Hence the area which is of every face has to be known to calculate the quantity of the paint for painting the same. We can generally define this term as the total surface area.

The surface area that is of a sphere is equal to the area of the entire face surrounding it.

Surface Area of a Cone

The Cone is said to be a structure which is three-dimensional which has a circular base where a set of line segments connect all of the points on the base to a common point called apex. A cone can be seen as a set of circular non-congruent discs that are stacked on one another in such a manner that the ratio of the radius of adjacent discs remains constant. We can think of a cone as a triangle which is being rotated about one of its own vertices. That is the curved surface area of a cone = πrl

And the total surface area of a cone = πr(l+r)

The curved surface which is of a cone is the area of the cone that is excluding the base. In other words we can say that it is the area of the cone when it is unfolded. The formula which is to calculate the curved surface area that too of a cone is given by:

The curved Surface Area that is the CSA = πrl

Here we can see that:

Letter r = is the radius of the circular base of the cone

Letter l = is the slant height of the cone

[Physics Class Notes] on Accelerometer Pdf for Exam

An accelerometer can be defined as a device that is used to measure acceleration forces, the forces which are defined by this can be static, like the continuous force of gravity or light we have seen in the case of mobile phones and it can also be said in the case of dynamics to sense movement or vibrations.

 

An accelerometer is a device that senses the different types of accelerations or vibrations. Acceleration is the change in velocity caused by the movements of a body. An accelerometer absorbs the vibrations created by the body and uses it to know the orientation of the body. A piezoelectric accelerometer has two types which are high impedance output accelerometer and low impedance output accelerometer. On the basis of the working mode, it is mainly of three types. The compression mode, the capacitive mode, and the shear mode. All of them work on sensing the vibrations.

 

Have you ever wondered about the mechanism that takes place when we use a compass app on our smartphones to somehow know in which direction the phone is pointing? The same can be said for the stargazing apps where it somehow knows where in the sky we are looking and accordingly displays the constellations. Mobile technology in smartphones uses the mechanism to identify their orientation through the use of an accelerator which is a device made up of axis-based motion sensing. It is wonderful how this motion sensor can even be used to detect earthquakes and the advancement through research on the application can be used as bionic limbs and other artificial body parts, several other quantified self movements, of the devices, also uses accelerometers.

 

Purpose of the Accelerometer

We have seen how different apps in mobile devices and other things use excel in a meter so basically, its application extends to multiple disciplines both academic and consumer or commercially. Accelerometers in laptops can be used to protect hard drives from damage. In case if the laptop were to suddenly drop while using it, the accelerometer would detect the sudden fall and immediately turn off the hard drive to avoid hitting the reading heads into the hard drive platter. Now without this, the two-day strike because of which various scratches and damages to the platter would be caused for extensive file and reading damages.

 

Another usage may be a dynamic accelerometer which is used to measure gravitational pull to determine the angle at which a device is tilted of course with respect to the earth, now by sensing the amount of acceleration the users analyze the direction in which the device is moving or analyze how the devices working.

 

Now with the given properties, this allows the user to understand the surroundings of an item better and with this small device, we can determine any movement ranging from moving uphill to the tilting of an object or whether it is flying horizontally or at an angle and downward, the best example would be smartphones when rotated they display features between portrait and landscape mode depending on how we actually tilt our phone.

 

Different components are used to make up accelerometers which can also be used to purchase as a separate device, analog and digital displays at available but for most of the technology devices these components and integrated into the main technology and then access is managed using the governing software or an operating system.

 

Now with the working also comes to the sensitivity of these devices which are quite high as they are intended and supposed to measure even the slightest minute shift and acceleration so the more sensitive the device is the more easily it can measure acceleration.

 

Accelerometer Application

Some applications of the accelerometer are:

  • The accelerometer has the capacity to sense the vibration from a micro-scale to a large scale. Even in most of the safety installations, the accelerometer is used. 

  • An accelerometer is also used in sports. The wearable devices athletes are using daily for practice and observations comprise accelerometers or gyroscopes. 

  • The physicians use it to check for gain in body mass and monitor body movements. It is also present in the devices used to check the heart rate. 

  • The piezoelectric accelerometers are used at the industrial level.

  • The most frequent accelerometer used in aerospace is Micro-Electro-Mechanical-sensors(the MEMS technology) based. The reason for using MEMS sensor-based accelerometers is that they can sense the vibrations even on a micro-scale and can also provide value on a micro-scale.

  • It is even used for satellites which are in space, as it can tolerate high pressure, heat, and vibration. 

  • For purposes like gearbox analysis, bearing analysis, rotor trim, and balance, an accelerometer plays an important role.

  • The aircraft are navigated using the accelerometer. Aircraft flight testing is another thing that requires an accelerometer. To check the characteristics of flight and to confirm its design it an accurate observation of data is expected. For that, an accelerometer named LCA-5080 is in use.

  • An accelerometer is used for safety purposes in laptops for the hard discs. Because of accelerometer sensors, we have landscape and portrait modes on our phones. Mobile phones keep changing the screen mode in landscape or portrait mode due to accelerometer applications.

Types of Accelerometer

The 3 important types of accelerometers are capacitive MEMS accelerometer, piezoresistive accelerometer, and piezoelectric accelerometer.

  • Capacitive MEMS Accelerometer- The MEMS stands for Micro-Electro-Mechanical-System. MEMS is a fabrication technology. In this type of accelerometer, the changes in capacitance are detected instead of a change in resistance. Most mobile devices use this MEMS accelerometer.

  • Piezoresistive Accelerometer- It measures the vibrations by changes in resistance. This is the accelerometer that works as DC responsive and proves efficient while measuring very little vibrations, for example, gravity vector. 

  • Piezoelectric Accelerometer- In this type the sensors are made of crystals or ceramics like lead zirconate, lead titanate, etc. This sensor absorbs the vibrations and produces the same amount of electrical signals.

Accelerometer Working Principle

The main working principle of an accelerometer is that it converts mechanical energy into electrical energy. When a mass is kept on the sensor which is actually just like a spring it starts moving down. Since it is moving down it starts experiencing acceleration. That acceleration hen gets converted into an amount of electric signal which is used for the measurements of variation in the position of the device. AThe accelerometer
can be found with both the forms analog as well as digital form devices.  No just like any other device would work happens to look like a simple circuit for some larger electronic device despite its simple appearance, it consists of many different varieties of parts which of course has their own functions and works in many ways, the most common terms would be piezoelectric effect and the capacitance sensor. The piezoelectric effect can be termed as the most common form, which uses microscopic crystal structure that becomes stress due to accelerative forces, not these crystals internal create a voltage from the stress that has been produced and the accelerometer interprets the voltage to determine its velocity and the orientation.

 

Whereas the capacitance accelerometer is used to sense changes in capacitance between microstructures located next to the device so if an accelerated force moves one of these any given structures, the capacitance will change which will cause the accelerometer to translate that capacitance into voltage for interpretation.

 

Insight Into How Does An Accelerometer Work

The accelerometer works on the movement or the vibration of the body. It can sense even the vibration on a micro-scale. It senses the vibration and converts that vibration into the piezoelectric effect. A piezoelectric effect occurs when energy is generated due to pressure and stress. That energy then gets converted into electric voltage. That voltage is used to get velocity and orientation. It can also measure static forces like gravity or dynamic forces which are in phones and laptop devices. The XYZ-type accelerometer uses the gravitational force to compare the position of the Devices.

[Physics Class Notes] on Albedo Pdf for Exam

Albedo is a calculation of diffuse solar radiation reflected from the total solar radiation, and it’s determined on a range of zero to 1, with 0 corresponding to a black body that absorbs every incident radiation and 1 corresponding to a body that reflects almost every incident radiation.

The ratio of radiosity to irradiance (flux each unit of area) obtained by a surface is known as surface albedo. The proportion reflected is defined by the spectral and angular spread of solar radiation approaching the surface of the Earth, as well as the characteristics of the surface itself. These variables change with the composition of the atmosphere, geographical region, and time.

Albedo Effect Definition: Albedo effect has been the directional integration of reflectance across all solar angles in a particular time, whereas bi-hemispheric reflectance is measured for a specific angle of incidence (that is, for a particular location of the Sun). The temporal resolution can vary between seconds to regular, weekly, or yearly averages (as determined by flux measurements).

The albedo effect involves a wide range of spectrum of solar radiation unless it is provided for a particular wavelength (spectral albedo). It is frequently provided for the range wherein the majority of solar energy enters the surface (between 0.3 and 3m) due to measurement constraints. 

Such spectrum includes visible light (0.4–0.7 m), that describes why surface albedo with such a low albedo (– for example, trees) look dark and surfaces with a large albedo look bright (e.g., snow reflects major radiation).

Albedo is a key concept in astronomy, climatology, and sustainable development (for example, in the Leadership in Energy and Environmental Design (LEED) programme for building sustainability rating). Because of cloud cover, the Earth’s average albedo from the upper atmosphere, or planetary albedo, is 30–35 percent, although it varies greatly locally from across the surface due to various geological and environmental properties.

Johann Heinrich Lambert’s work Photometria, published in 1760, was the first to use the word albedo in optics.

Terrestrial Albedo Meaning

In visible light, albedo ranges from around 0.9 for new snow to almost 0.04 for charcoal, including some of the darkest materials. Deeply shadowed cavities will reach the black body’s active albedo of zero.

The ocean surface, like most trees, does have a low albedo when viewed from afar, while desert areas were some of the highest albedos across landforms. The majority of land areas have an albedo of 0.1 to 0.4. Earth’s average albedo has been about 0.3. Due to the contribution of clouds, it’s much greater than for the seas. NASA’s MODIS instruments on deck the Terra and Aqua satellites, as well as the CERES instrument on the Suomi NPP and JPSS, are used to measure the Earth’s surface albedo on a regular basis. Since satellites could only calculate the amount of reflected radiation in one direction, rather than all directions, a mathematical model is being used to convert a sample collection of satellite reflectance measurements into predictions of bi-hemispheric reflectance and directional-hemispherical reflectance.

The bidirectional reflectance distribution function (BRDF), that explains how well the reflectance of a given surface varies depending on the observer’s view angle and the solar angle, is used in such calculations. BDRF may aid in the conversion of reflectance observations into albedo.

Examples of Terrestrial Albedo Effects

1. Illumination:

Apart from situations in which a variation in illumination causes a change in the Earth’s surface at that spot, albedo is indeed not dependent solely on illumination as increasing the amount of incident light proportionally affects the quantity of reflected light (for example, through melting of reflective ice).

2. Insolation Effects:

The degree of albedo temperature effects is determined by the quantity of albedo as well as the extent of local insolation (solar irradiance); high albedo areas in the arctic and antarctic regions seems cold because of low insolation, while high albedo areas in the Sahara Desert, that also have a significantly higher albedo, would be warmer due to increased insolation.

3. Albedo–Temperature Feedback:

A snow–temperature input occurs when the albedo of a region changes due to snowfall. A film of snowfall raises local albedo, which reflects sunlight and cools the region. In theory, if no outdoor temperature changes, the increased albedo and lower temperature will maintain the entire snow and invite more snowfall, deepening the snow–temperature response.

4. Snow:

Snow albedo varies dramatically, varying from 0.9 for freshly fallen snow to 0.4 for snow melt and even as low as 0.2 for dirty snow. Ice albedo in Antarctica measures somewhat more than 0.8. As a marginally snow-covered region warms, the snow melts, reducing the albedo and thereby causing more snowmelt as the snowpack absorbs additional radiation.

5. Solar Photovoltaic Effects:

The electrical energy production of solar photovoltaic systems may be affected by albedo. Distinctions in the spectrally weighted albedo of solar photovoltaic techniques are dependent on hydrogenated amorphous silicon (a-Si:H) and crystalline silicon (c-Si) compared to the standard spectral-integrated albedo predictions, for instance, show the effects of a spectrally sensitive albedo. According to research, the effects can be as high as 10%. The study was recently expanded to include the consequences of spectral bias due to specular reflectivity of 22 frequently occurring surface materials, as well as the effects of albedo on the output of seven photovoltaic materials, including three common photovoltaic system topologies: commercial flat rooftops, industrial, and residential pitched-roof installations.

Astronomical Albedo

Satellites, Planets, and minor planets like asteroids have albedos that can be used to conclude a lot regarding their properties. A significant portion of the astronomical field of photometry is the research of albedos, whose reliance on lighting angle, wavelength, and time variation. Most of what we understand about small and distant objects which cannot be clarified by telescopes arises from studying the albedos. The absolute albedo, for instance, will reveal the surface ice composition of bodies in the outer Solar System, while the variation of albedo through phase angle reveals regolith properties, and exceptionally high radar albedo indicates the high metal concentrations in asteroids.

With an albedo of 0.99, Enceladus, a moon of Saturn, does have one of the highest recorded albedos of just about anybody throughout the Solar System. The albedos of several tiny items in the outer Solar System and asteroid belt are as small as 0.05. The albedo of a standard comet nucleus is 0.04. A basic and intensely space weathered layer containing certain organic compounds is assumed to be the source of this kind of dark surface.

The Moon’s overall albedo is estimated to be about 0.14, but it is highly directional and non-Lambertian, with a serious opposition impact. Even though reflectance characteristics of regolith surfaces on airless Solar Syste
m bodies vary from that of the terrestrial terrains, these are common.

[Physics Class Notes] on Angular Acceleration Formula Pdf for Exam

In Physics, we define angular acceleration as the time rate of change of angular velocity. This angular acceleration definition is plain because there are two types of angular velocity, spin angular velocity, and orbital angular velocity. This leads to two kinds of angular acceleration as well; spin angular acceleration and orbital angular acceleration. 

Angular motion occurs when an object is moving in a rotational manner. The object’s velocity is always changing while it is moving in a circular path.

A good example to understand angular acceleration is a disk with an axle in its center.

The disk rotates about its center. However, at the edge of the disk, an arrow is bolted. This arrow cannot change its orientation relative to the disk. The disk is then rotated.

The speed of the spinning disk is always changing. Therefore, the disk is said to have angular acceleration, since its velocity is constantly changing with time.

Velocity is a vector quantity that involves speed with velocity. When in a circular motion, the direction of every point on the object is changing constantly.

The unit of angular velocity can be expressed as radian/second. It explains the speed at which the object rotates and provides the direction of a rotating object.

There are two versions of angular acceleration, average angular acceleration and instantaneous angular acceleration. Average angular acceleration is an average calculation involving multiple values divided by the total number of values being considered.

The angular acceleration at a very specific moment of time is called instantaneous angular acceleration.

Types of Angular Acceleration

Spin angular acceleration is said to relate with the angular acceleration of the rigid body to its center of rotation, and orbital angular acceleration is defined as the angular acceleration of a point particle about a fixed origin. Angular acceleration is measured in units of angle per unit time squared (as per SI unit – radians per seconds squared) and represented by the ‘α’ symbol.

The angular acceleration formula is given by

α= ∆ω/∆t

where ∆ω is a change in angular velocity and ∆t is the time interval.

When uniform rotation is considered, both the average and instantaneous values opt to coincide. We will provide angular acceleration examples below – 

Orbital Angular Acceleration of a Point Particle: Two-Dimensions

Orbital angular acceleration can be defined as the rate at which the two-dimensional orbital angular velocity of the particle changes from the origin. The instantaneous angular velocity ω at any point in the time is given by 

ω=v˔/r

Where r is the distance from the origin and v˔ is the cross-radial component of the instantaneous velocity, which, by convention, is positive for counterclockwise motion and negative for a clockwise motion.

Therefore, the instantaneous angular acceleration α of the particle can be given by 

α = d/dt (v˔/r)

expanding the right-hand side using the product rule from different calculus

α = 1/r d v˔/dt – v˔/r² dr/DT

In the special case where the particle undergoes circular motion about the origin, d v˔/dt becomes tangential acceleration a˔, and dr/dt goes out since the distance from the origin remains constant, 

so the equation gets simplified as α = a˔/r

In two dimensions, angular acceleration is a number with a plus or minus sign indicating orientation but not pointing in a direction. If the angular speed increases counterclockwise or decreases clockwise, the sign is taken as positive. If the angular speed increases clockwise and decreases counterclockwise, then the sign is taken as negative.

Relation between Angular Acceleration and Linear Acceleration.

At = Δv/ Δt

However, in a circular motion, linear velocity v is a product of radius of curvature (r) and Angular velocity ω.

v = rω

Therefore linear acceleration At is given as,

A[_{t}] = Δ(rω)/ Δt

Now, The radius r is constant for circular motion. 

So,

Δ(rω) = r(Δω). 

Therefore,

A[_{t}] = rΔω/ Δt    ….(i)

By definition, angular acceleration is given as

α = Δω/Δt

Therefore, the equation (i) changes to

A[_{t}] = rα

Or 

α= [frac{A_{t}}{r}]

Therefore, it can be proved that linear acceleration and angular acceleration are directly proportional.

Application of Angular Acceleration

The concept of angular acceleration is seen in a merry go round in a park. When a child sits on the horse and starts the merry go round from rest, there is an angular acceleration ω which constantly changes. The object, which is the merry go round, is spinning and its speed is also changing. Therefore, it can be said that the object is accelerating angularly.

The faster the machine moves, the greater is the angular acceleration. Care should be taken while designing the merry go round that the angular acceleration doesn’t exceed its limits and the rise is safe for children.

Angular acceleration can also be seen in a giant wheel. Once it starts operating it has to speed up and slow down. This gives it the angular velocity. If it speeds up at a constant rate then we can say that the angular acceleration is constant. Rarely does a giant wheel speed up at a constant rate. Hence we can say that the angular acceleration in a giant wheel is constantly changing. 

Have you ever wondered why helicopter blades are so long and far away from the center point? Let’s explore why. The center point is called the pivot. This is the point from where the force is applied to move the blades in rotational motion. Now, the farther the force is applied from the pivot, the greater is the angular acceleration.

 

When the angular acceleration is greater, it then becomes easier for the helicopter to lift itself up in the air and fly at a safe distance above the earth, fighting the gravitational pull exerted by the earth.

This is the reason behind having large blades in helicopters. To provide greater angular acceleration and fly easily.

Test Angular Acceleration

There are two experiments illustrated here for students to understand angular acceleration.

Experiment 1:

Take a wire or a thin rope. Now hold near one of its ends and try rotating it. The wire or rope will not rotate freely and you will face difficulty in rotating it. Therefore, there will be little to no angular acceleration in this type of motion.

Experiment 2:

Take the same wire or rope. Now, instead of holding it near its end, hold it in the middle or closer to the other end. And rotate it. You will observe that the object (wire or thin rope) moves easily in rotational motion and can have greater angular acceleration.

Tips to study Angular Acceleration

Angular acceleration is one of the most exciting chapters
in physics and can help you understand the mechanism behind the working of various objects in daily life. However, to understand the topic in-depth, here are a few steps you should take.

  1. Read this article till you understand all the concepts stated here very well.

  2. If students face difficulty in understanding something, you can ask us in the comments. You can also download ’s app and get a more clear understanding of topics.

  3. Practice problems. Do not directly jump to tough problems. Start with simple questions of angular acceleration and gradually move to difficult conceptual questions.

  4. Create your own revision notes after understanding this topic well. It will help you remember and write well in exams.

Solved Questions Angular Acceleration Formula

1) If the Body’s Angular Velocity in Rotational Motion Changes from [frac{Pi }{2}] rad/s to [frac{3Pi }{4}] in 0.4 sec. Find the Angular Acceleration.

Solution: 

 ω 1 = [frac{Pi }{2}] rad/s, ω2 = [frac{3Pi }{4}] rad/s, ∆t = 0.4

so by applying the formula for angular acceleration 

α= ∆ω/∆t = ω1 – ω2/∆t = π/4-3π/4 / 0.4 = [frac{5Pi }{8}] rad/s²  

2) The Angular Displacement of an Object in Rotational Motion is Usually Considered to be Depending on the Time t According to the Following Relation-

θ=2π t³ – -rt² + 3π – – 6, where θ is in rad and time in sec. Find angular acceleration at time t=2 sec.

Applying one of the formulas for angular acceleration angular velocity,

 

ω=dθ/dt = 6π t² – -2 π t + 3π rad

α=dω/dt = 12π t – -2π rad/s²

At t=2 sec, αt= 2s, 12π х 2 -2π = 22π rad/s²

The above examples are better to understand the angular acceleration. In two dimensions, angular acceleration is a pseudoscalar whose sign is taken to be positive if the angular speed increases counterclockwise or decreases clockwise. It is to be taken negatively if the angular speed increases clockwise and decreases counterclockwise.

In three dimensions, angular acceleration is a pseudovector.

 

In the case of rigid bodies, angular acceleration must be caused by a net external torque. This is not the same in the case of non-rigid bodies.

3. The radius of the tire of a car is about 0.35 meters. The car accelerates onto a straight path from rest at 2.8 m/s². Find the angular acceleration, both magnitude, and direction, of the front passenger-side tire?

Solution:
The angular acceleration is related to linear acceleration by the following equation.

α=a/r

In this case, a = 2.8 m/s²

and r = 0.35 meters.

Substituting these quantities into the equation, we get

α = a/r

= 2.8/0.35

= 8.0 rad/s²

By the use of the right-hand rule, we find that the direction of the angular acceleration is to the left side of the car when facing the direction in which the car is moving.

[Physics Class Notes] on Apps for Physics Pdf for Exam

Physics App for Students

Class 12 is an alpha stage of your life. This standard is a door to the upcoming opportunities in your career. So, scoring well in a tough subject like physics becomes a preeminent task for the board students. 

These days, a trend of using the Physics App as a study resource has become popular. Many app builders do their best in reaching their study materials to the students worldwide. Now, the confusion arises in searching for reliable notes and concise solutions to numerical problems. 

Don’t worry; you made the right decision in downloading the ‘ App’ as your studying accomplice. Now, we will discuss the features of our App.

Best App for Physics Class 12

Best Advantage:  An educational app to provide free access to reliable studying materials, live classes, concise, and easy-to-understand solutions to the SELINA (for ICSE board) and NCERT (for CBSE board).

The application covers the fundamental topics that are there in Class 12 board exams. These notes will also help you prepare for the premium entrance exams like IIT-JEE, NEET, and state-wise exams like KCET, EAMCET, and many more.

We provide a dynamic environment for corroborating constructive concept-learning for all students. We promote a unique live-in class limitless doubt solving feature to help students (who can’t afford to pay huge fees) prepare well at their pace. 

Our subject-matter experts have years of experience in teaching and keeping in mind the understanding of every student; they have prepared chapter-wise Selina and NCERT Solutions for Class 12 Physics. 

Under our Complete Study Package, you can avail of the following benefits:

  • Previous Year Question Papers for all the boards, be it CBSE, ICSE, TSBSE, MSBSHSE, MPBSE, BSEB, TNHSC, and many more.

The best studying resource to brush up previously learned concepts.

  • Our subject-matter experts have provided solutions to the best publisher’s books like Pradeep’s for Class 12 Physics, HC Verma (Volume-I & II), DC Pandey.

  1. Subject-wise detailed syllabus for all the classes.

  2. Latest exam pattern

  3. Marking scheme

  4. Weightage of all the topics.

  1. This mock test will work as a simulator to help you get an estimation of your overall performance.

  2. You will get an estimated All India Rank on the real-time leaderboard.

  3. You will get to know your strengths and weaknesses.

  4. Your improvement areas.

  5. Your marked responses: you can see the correct answer to the corresponding wrong answer. Below you will find the application to help you understand why your chosen option was wrong.

  6. Solutions to all the questions are also provided to check out the different ways of solving problems.

With these features, we are sure; by now, you will consider App as the Best Physics Learning App. 

App: The Best App to Learn Live Online

‘ App’ is a Live learning App, which provides Quality Education in the comfort of your home for free.

We have created an avant-garde technology to power the following premier features on :

Millions of students residing in remote areas of India got benefited from our technology. We feel so good at this.

  • WAVE (whiteboard Audio & Video Environment) is a built-in house technology. It is just like a notebook shared between the teachers and students. Through this, a teacher explains the topics to create a real-classroom environment. This technology makes learning interactive and user-friendly. Both teachers and students can write and upload images to explain/ask concepts/questions.

  • You can replay every live session between the teacher & the student for revision.

  • Learning Management Tools: The best app that provides content-creation, sharing of notes, assignment, & objective test for evaluation. 

  • Performance reports for both students & Parents: A nonparallel comprehensive & feedback reporting system to help teachers share regular updates & feedback to students on their performance and learning outcomes.

  • app is accessible on all mobile devices.

By all these merits, we are sure that by now, you will be consistent with us on the technological advancement that our RDX team is working on to bring distinction in the method of teaching and learning.

[Physics Class Notes] on Atomosphere Pdf for Exam

We are living at the very bottom of an invisible ocean which is called the atmosphere, which is a layer of gases that are surrounding our planet. Oxygen and Nitrogen types of gases which account for 99 % of the gases which are there in air which is also called dry air  along with carbon dioxide and helium and  argon, neon and even other gases which are making up a minute portions.

The atmosphere not only protects our environment from the dangerous things which are present in the planet earth but along with it it also provides us a layer which is responsible for balancing the temperature of our planet earth. The vapours of Water and the dust are also part of the atmosphere of Earth. Other planets and satellites like moons have very different atmospheres and when we observe that some have no atmospheres at all.

The bottom is said to be 30 kilometers  and 19 miles of the atmosphere contains around 98 percent of its mass. The air which is in the atmosphere is much thinner at high altitudes. The atmosphere is not in space.

Scientists say that there are many gases in our atmosphere that were ejected into the air by early volcanoes as well. At that time there would have been very little or in fact no free oxygen that surrounded the Earth. The oxygen which is Free oxygen consists of oxygen molecules not attached to another element like carbon to form carbon dioxide or hydrogen to form water.

The oxygen which is free oxygen may have been added to the atmosphere by primitive organisms which is  probably bacteria during photosynthesis. Photosynthesis is said to be a process where a plant or other autotroph is used to make oxygen and oxygen from carbon dioxide and water. Later on more complex forms of plant life were added with more oxygen to the atmosphere. To accumulate the oxygen in today’s atmosphere probably took millions of years.

Pressure 

The pressure of Atmospheric at a particular location is the force per unit area which is perpendicular to a surface determined by the weight of the vertical column of atmosphere above that location. On the planet Earth the units of air pressure are based on the internationally recognized standard atmosphere defined as atm, which is defined as 101.325 kPa that is 760 Torr or 14.696 psi. It is usually measured with a barometer.

Pressure of Atmospheric decreases with altitude increasing due to the diminishing mass of gas above. The pressure in the atmosphere which depends on the height defined as the one which is declined by the factor which is defined as e  that is an irrational number with a value of 2.71828 is known as the scale height and is denoted by capital H. For an atmosphere that has a uniform temperature for it the height which is scale height is directly proportional to the temperature and it is inversely proportional to the product of the molecular mean mass which of dry air and the local acceleration of gravity at that specific location. For atmospheres such a model, the pressure declines totally with increasing altitude. 

Scape of Atmosphere

The gravity of the Surface differs significantly among the planets.see the escape velocity distance from the Sun then we will see that it determines the energy available to heat atmospheric gas to the point where some fraction of its molecules’ thermal motion exceeds the planet’s. Thus if we see distant and cold Titan or Triton, to retain their atmosphere Pluto is able to despite their relatively low gravities.

there will always be some air that will be fast enough to produce a slow gas of leakage into space. The molecules which are Lighter molecules in nature move faster than the heavier molecules as we already know, along with the same thermal energy which is kinetic, and so the gases which are of low molecular weight are lost more easily than those of high molecular weight. It is said that the Mars and Venus planets may have lost much of their water when and  after being photo dissociated into gases like oxygen and hydrogen by solar ultraviolet radiation the hydrogen escaped. 

Composition of Atmosphere 

The atmosphere which is said to be the initial atmospheric composition of a planet is related to the temperature and the chemistry of the local solar nebula during planetary formation of interior gases which are subsequent. The atmosphere which is the original atmosphere started with a rotating disc of gases which later collapsed to form a series of spaced rings that condensed to form the planets. The planets such as Mars and Venus are primarily composed of carbon dioxide and with small quantities of nitrogen, oxygen, argon and traces of other gases as well.

The earth’s composition in the atmosphere is largely governed by the by-products of the life that it sustains. The air which is Dry from Earth’s atmosphere contains around 20.95% oxygen, 78.08% nitrogen, 0.93% argon, 0.04% and other gases which are said to be noble by volume, but generally if we see then a variable amount of vapours of water is also present on average about 1% at level of sea.