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Percentage error in the measurement of m...

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

A

`6%`

B

`8%`

C

`10%`

D

`12%`

Text Solution

Verified by Experts

The correct Answer is:
B
`(Deltam)/(m)xx100=2%, (Deltav)/(v)xx100=3%`
`"Kinetic energy E"=(1)/(2)mv^(2)`
`"Maximum eror in kinetic energy "(DeltaE)/(E )xx100=(Deltam)/(m)xx100+2(Deltav)/(v)xx100`
`"Maximum error in kinetic energy "=2%+2xx3%=2%+6%=8%`
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