The kinetic energy of a body becomes four times its initial value.The new linear momentum will be:

Options

A. same as the initial value
B. four times of the initial value
C. twice of the initial value
D. eight time of the initial value.

Answer

C

Explanation

Initial kinetic energy `(E_(1))=E ` and final kinetic energy ` (E_(2))=4E` .
Kinetic energy of a body is ` (1)/(2) mv^(2)`
Since the value of m remains constant , therefore for the kinetic energy to be 4 times, the new value of velocity (v) should be 2 times the initial value .
Initial linear momentum `(p_(1))=mv. `
Therefore new linear momentum `(p_(2))= m xx 2v` =2 mv =2 ` p_(1)`