JEE Main2017PhysicsOscillationsActual
In an experiment to determine the period of a simple pendulum of length 1 m , it is attached to different spherical bobs of radii r 1 and r 2 . The two spherical bobs have uniform mass distribution. If the relative difference in the periods, is found to be 5 × 10 - 4 s , the difference in radii, r 1 - r 2 is best-given by
Options
- A0 . 01   cm
- B0 . 05   cm
- C0 . 5   cm
- D1   cm
Correct answer
B. 0 . 05   cm
Step-by-step solution
T = 2 π   l g T ∝ l l = 1 Δ T T = 1 2   Δ l l   Δ l = r 1 - r 2 ⇒   ∆ l = 2 ∆ T T × l = 2 × 5 × 10 - 4 2 × 1   m = 5 × 10 - 2   cm = 0.05   cm