Two bodies of masses M and 4M are moving with equal kinetic energy. The ratio of their linear momenta is 

Options

A. `1: 8`
B. `1:4`
C. `1:2`
D. `4:1`

Answer

C

Explanation

Here, `m_1 = M, m_2 = 4M`
Kinetic energy of a body of mass m having linear momentum p is given by
`K = (p^2)/(2m)`
As K is same
`:. (p_1)/(p_2) = sqrt((m_1)/(m_2)) = sqrt((M)/(4M)) = 1/2`