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The percentage errors in the measurement...

The percentage errors in the measurement of mass and speed are `2% and 3%` , respectively . How much will be the maximum error in the estimation of `KE` obtained by measuring mass and speed?

A

`11%`

B

`8%`

C

`5%`

D

`1%`

Text Solution

Verified by Experts

The correct Answer is:
B

`KE=1/2mv^2`
`implies((DeltaKE)/(KE))%=((Deltam)/m+2(Deltav)/v)%`
`implies((DeltaKE)/(KE))%=2+2xx3=8%`
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