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Percentage erros in the measurement of m...

Percentage erros in the measurement of mass and speed are 2% and 3% respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will be:

A

`11%`

B

`8%`

C

`5%`

D

`1%`

Text Solution

Verified by Experts

The correct Answer is:
B
`KE= (1)/(2) mv^(2)`
`(Delta KE)/(KE) = (Delta m)/(m) + 2 (Delta v)/( v)`
`(Delta KE)/(KE) xx 100 = 2+ 2 xx 3 = 8%`
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