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The percentage errors in the measurement...

The percentage errors in the measurement of length and time period of a simple pendulum are 1% and 2% respectively. Then, the maximum error in the measurement of acceleration due to gravity is

A

`8%`

B

`3%`

C

`4%`

D

`5%`

Text Solution

Verified by Experts

The correct Answer is:
D
`T=2pisqrt(l/g)implies g ""(4pi^2l)/(T^2)`
`(Deltag)/g xx100=((Deltal)/l+2(DeltaT)/T)xx100 = 1+ 2 xx 2 = 5%`
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