Force Law for Simple Harmonic Motion - Class 11 Physics MCQ

This set of Class 11 Physics Chapter 14 Multiple Choice Questions & Answers (MCQs) focuses 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
View Answer

Answer: c
Explanation: 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
View Answer

Answer: b
Explanation: 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
View Answer

Answer: b
Explanation: Using k = mw²,
we get: 2 = 1w²
or w = √2.
Thus, time period = 2π/w = π√2 s.

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