Verified Solution • 2025–26 Session hard

QJEEM_2024_9: JEE Main 2024 JEEM_2024_9 Solution: A pendulum completes 50 oscillations in 40 seconds. If the…

A pendulum completes 50 oscillations in 40 seconds. If the length of pendulum is (20 ± 0.2) cm and resolution of watch is 1 second, find the percentage error in calculation of g.

Multiple Choice Options

  • A 0.07
  • B 0.03
  • C 0.06
  • D 0.04

Step-by-Step Verified Solution

T = 2π√(l/g) => g = (4π²l)/T² => Δg/g = Δl/l + 2ΔT/T => Δg/g = 0.2/20 + 2(1/40) => Δg/g = 6%

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