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If T= 2pisqrt(1/8), then relative errors...

If `T= 2pisqrt(1/8)`, then relative errors in T and l are in the ratio

A

`1//2`

B

`2`

C

`1//2pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have,`T=2pisqrt(l/8)`
`rArr" "log T = log 2pi+1/2 logl-1/2 log g`
`rArr" " 1/Tdt=0+1/(2l)dl-0`
`rArr" "(dT)/T=1/2" "(dl)/l`
`rArr" "(DeltaT)/T=1/2 (Delta l)/l" "[:' dT cong DeltaT anddl cong Deltal]`
`rArr" "((DeltaT)/(T))/((Delta l)/l)=1/2`
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