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Q.

Calculate percentage error in determination a time period of a pendulum T=2πlg  or  2π(lg)1/2where, l and g are measured with ±2%  and  ±3%  errors.

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a

2.9%

b

±2.5%

c

1.5%

d

±1.9%

answer is B.

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Detailed Solution

ΔTT×100=±(12×Δll×100+12×Δgg×100)=±(12×2+12×3)=±2.5%
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Calculate percentage error in determination a time period of a pendulum T=2πlg  or  2π(lg)1/2where, l and g are measured with ±2%  and  ±3%  errors.