Q.
A simple pendulum is being used to determine the value of gravitational acceleration ‘g’ at a certain place. The length of the pendulum is 20.0 cm known to 1mm accuracy and a stop watch with 1s resolution measures the time taken for 40 oscillations to be 50s. The accuracy in g is
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a
3.5%
b
5.5%
c
4.5%
d
2.4%
answer is C.
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Detailed Solution
T=2πlgon squaring both sidesg=4π2lT2on differentiating,Δgg=Δll+2ΔTT=0.120+2×150=0.045 ⇒Δgg×100=0.045 ×100 ∴%Δgg=4.5%