While measuring acceleration due to gravity by a simple pendulum a student makes a percentage error of 1% in measuring the length of the pendulum and a percentage error of 3% in measuring the value of the time period. The maximum percentage error in the measurement of the value of g will be; (Use time period of a simple pendulum, T = 2π √(ℓ/g).
2%
4%
7%
10%
T = 2π √(ℓ/g)
⇒ g = 4π²ℓ / T²(Δg/g) × 100 = (Δℓ/ℓ) × 100 + 2(ΔT/T) × 100 = 1% + 2(3%) = 7%
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