If the error in measurement of mome...
Question
If the error in measurement of momentum of particle is 10% and mass is known exactly, permissible error in the determination of kine energy is
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If the error in measurement of momentum of particle is ( 10 % ) and mass is known exactly, permissible error in the determination of kine energy is
(1) ( 20 % )
(2) ( 5 % )
((3) 21 % )
(4) ( 10 % )

Railway Exams
Physics
Solution
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If the error in measurement of momentum of particle is 10% and mass is known exactly, permissible error in the determination of kine energy is
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( K E=frac{p^{2}}{2 m} )
( frac{Delta K cdot E}{K E}=frac{2 Delta P}{P}+frac{Delta m}{m} )
( frac{Delta K cdot E}{K E}=2 times 10 %+0 )
( =20 % ) Ans

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