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Q.

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?

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a

5%

b

1%

c

8%

d

11%

answer is C.

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Detailed Solution

Kinetic energy, E=12mv2ΔEE×100=Δmm×100+2Δvv×100=2+2×3=8%
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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?