Question

Kinetic energy of a particle depends on the square of speed of the particle. If error in measurement of speed is then error in the measurement of kinetic energy will be

Hard
Solution
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Hint : 
Error in kinetic energy is .
Kinetic energy of a particle depends on square of speed of a particle.
Let initial velocity of a particle is v and initial kinetic energy is
If error in speed is 
then new speed of particle 

Final kinetic energy will be 



  [ form equation (1), ]
Now, % error in Kinetic energy final kinetic energy initial kinetic energyinitial kinetic energy




Therefore maximum error in kinetic energy should be .

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