2018 · Q8
If the amplitude of oscillation of a simple pendulum is very small, then its time period of oscillation
- 1depends on the length of the pendulum, L
- 2depends on the acceleration due to gravity g
- 3depends upon the mass of the bob of the pendulum, m
- 4does not depend upon the amplitude of the pendulum, A
Select the correct answer using the code given below.
general-sciencephysics-mechanics
- A1, 2 and 3
- B1, 2 and 4
- C2, 3 and 4
- D1 and 4 only
Explanation
For small amplitudes the pendulum's period is T = 2π√(L/g): it depends on the length L (statement 1) and on g (statement 2), and it is isochronous, i.e. independent of amplitude A (statement 4). The bob's mass cancels out of the formula, so statement 3 is false. Therefore the correct combination is 1, 2 and 4.