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

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`(Delta m)/(m) xx 100 = 2% , (Delta v)/(v) xx 100 = 3%`.
Kinetic energy, `E = 1/2 mv^2 `
maximum error in kinetic energy
`(Delta E)/(E ) xx 100 = (Delta m)/(m) xx 100 + 2 (Delta v)/(v) xx 100`
Maximum error in kinetic energy
`= 2% + 2 xx 3% = 2% + 6% = 8%`.
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AAKASH SERIES-UNITS AND MEASUREMENT-PRACTICE EXERCISE
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  2. The ratio of S.I unit of the C.G.S unit of gravitational constant 'G' ...

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  3. If units in two systems of measurments are in the ratio 2 : 3, the rat...

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