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A heavy body and a light body have equal...

A heavy body and a light body have equal K.E. which one of them has greater momentum?

A

Light object

B

Heavy object

C

Both have same momentum

D

Data is not sufficient

Text Solution

Verified by Experts

The correct Answer is:
B
As the kinetic energy of the light and heavy object is same, thus, `(1)/(2) m_(1) v_(1)^(2) = (1)/(2) m_(2)v_(2)^(2) therefore (v_1)/(v_2)= sqrt((m_2)/(m_1))`
`therefore` Ratio of their momentum, `(p_1)/(p_2) = (m_1 v_1)/(m_2 v_2)= (m_1)/(m_2) sqrt((m_2)/(m_1) )= sqrt((m_1)/(m_2))`
When `m_1 gt m_2 rArr p_1 gt p_2`
i.e., heavier object has more momentum.
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