A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place.…

A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stopwatch with 1 s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is:
  1. 5.40%
  2. 3.40%
  3. 4.40%
  4. 2.40%

Solution

Time period of the simple pendulum, T=2πlg ⇒g=4π2lT2

∆gg=2∆TT+∆LL⇒∆gg=2150+0.125.0

⇒∆gg=4.4%

Asked in: JEE Main 2020 (08 Jan Shift 2)

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