Question

# If the kinetic energy of a body is increased by 300%, its momentum will increase by

A
300%
B
30%
C
10%
D
100%

Solution

## The correct option is D 100%Kinetic energy $$k =\frac {P^2}{2m}$$where, P is momentum and m is mass. $$k_1=k, k_2=k+300$$ % of $$k=4k$$$$\Rightarrow \frac {P_2}{P_1}=\sqrt {\frac{k_2}{k_1}}=\sqrt{\frac{4k}{k}}=2$$$$\Rightarrow P_2=P_1 + 100$$% pf $$P_1$$Hence, momentum will increase by 100%. Physics

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