If the amplitude of oscillation of a simple pendulum is very small, then its time period of oscillation
- 1. depends on the length of the pendulum, L
- 2. depends on the acceleration due to gravity, g
- 3. depends upon the mass of the bob of the pendulum, m
- 4. does not depend upon the amplitude of the pendulum, A
Select the correct answer using the code given below.
1, 2 and 3
1, 2 and 4
2, 3 and 4
1 and 4 only
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2018
For small oscillations (amplitude A is very small), the formula for the time period (T) of a simple pendulum is given by T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. This formula explicitly shows that the time period depends on L and g, but it does not contain the mass (m) of the bob or the amplitude (A). The condition of small amplitude is crucial for this simplified formula to hold, implying independence from amplitude in this specific case.