250+ TOP MCQs on Oscillations – Force Law for Simple Harmonic Motion | Class 11 Physics

Physics Question Papers for Class 11 on “Oscillations – Force Law for Simple Harmonic Motion”.

1. Force on particle, of mass ‘m’, undergoing SHM is given by: F = -kx. What is the relation between x and angular frequency w?
a) k = w²w
b) k = m√w
c) m = k/w²
d) m = k²/w
Answer: c
Clarification: The force on a particle in SHM = -mw²x(t).
Given that: F = -kx(t). We get:
k = mw²
Or m = k/w².

2. Select the correct statement regarding the force on a particle in SHM.
a) It is linearly proportional to velocity
b) It is linearly proportional to position
c) It is directed away from the mean position
d) It is in the direction of velocity
Answer: b
Clarification: Force on a particle is always directed towards the mean position.
F = -mAw²sin(wt), when x = Asin(wt).
So, force is linearly proportional to position.

3. The force acting on a particle of mass 1kg is -2x, where x is the displacement from the mean position of SHM. What is the time period of oscillations?
a) 2π s
b) π√2 s
c) π s
d) 2√2π s
Answer: b
Clarification: Using k = mw²,
we get: 2 = 1w²
or w = √2.
Thus, time period = 2π/w = π√2 s.

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