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Q.

The error in the measurement of length of a simple pendulum is 0.1% and error in the time period is 2%. The possible maximum error in the quantity having dimensional formula LT–2 is

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a

1.1%

b

2.1%

c

4.1%

d

6.1%

answer is C.

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Detailed Solution

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X=LT-2⇒ΔXX=ΔLL+2ΔTT %ΔXX=0.1+2(2)=0.1+4=4.1%

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The error in the measurement of length of a simple pendulum is 0.1% and error in the time period is 2%. The possible maximum error in the quantity having dimensional formula LT–2 is