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Q.

The period of oscillation of a simple pendulum is T=2πLg. Measured value of ‘L’ is 1.0 m from meter scale having a minimum division of 1 mm and time of one complete oscillation is 1.95 s measured from stop watch of 0.01s resolution. The percentage error in the determination of ‘g’ will be:

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a

1.33%

b

1.30%

c

1.13%

d

1.03%

answer is C.

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Detailed Solution

g=4π2LT2 ⇒Δgg×100=ΔLL+2ΔTT×100=10−31+20.011.95×100=1.13%
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The period of oscillation of a simple pendulum is T=2πLg. Measured value of ‘L’ is 1.0 m from meter scale having a minimum division of 1 mm and time of one complete oscillation is 1.95 s measured from stop watch of 0.01s resolution. The percentage error in the determination of ‘g’ will be: