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Question

Question: A moving electron has KE ‘K’. When a certain amount of work is done, it moves with one quarter of it...

A moving electron has KE ‘K’. When a certain amount of work is done, it moves with one quarter of its velocity in opposite direction. Find the work in terms of K.

A

1516K\frac { - 15 } { 16 } K

B

1716 K\frac { - 17 } { 16 } \mathrm {~K}

C

54 K\frac { - 5 } { 4 } \mathrm {~K}

D

Answer

1716 K\frac { - 17 } { 16 } \mathrm {~K}

Explanation

Solution

K(4)2=K+W\frac { - \mathrm { K } } { ( 4 ) ^ { 2 } } = \mathrm { K } + \mathrm { W } or W = 1716\frac { - 17 } { 16 }K