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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

`5%`

B

`1%`

C

`8%`

D

`11%`

Text Solution

Verified by Experts

The correct Answer is:
C

Kinetic energy , `E = (1)/(2) mv^(2)`
`( Delta E) /( E) xx 100 = ( Delta m )/( m) xx 100 + 2( Delta v)/( v) xx 100 = 2 +2 xx 3 = 8%`
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