JEE Main202229 Jun 2022Evening ShiftPhysicsOscillationsActual
The motion of a simple pendulum executing S.H.M. is represented by the following equation y = A sin π t + ϕ , where time is measured in second. The length of pendulum is
Options
- A97 . 23   cm
- B25 . 3   cm
- C99 . 4   cm
- D406 . 1   cm
Correct answer
C. 99 . 4   cm
Step-by-step solution
Comparing the given equation y = A sin π t + ϕ with a standard equation y = A sin ω t + ϕ . We have ω = π   rad   s - 1 Since time period is T = 2 π ω = 2   s , it is a second's pendulum. T = 2 π L g ⇒ L = g π 2 = 99 . 4   cm