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

# 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 % )

Solution

( 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