Question

The kinetic energy of a particle depends on the square of speed of the particle. If error in measurement of speed is , the error in the measurement of kinetic energy will be . The value of is ________

Hard
Solution
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Hint : 
Error in kinetic energy is
Kinetic Energy of particle is


Given that the error in measure of speed is  



Percentage change in kinetic energy is 



Therefore the value of  is .

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