Two masses of `1 kg` and `16 kg` are moving with equal kinetic energy. The ratio of magnitude of the linear momentum is

Options

A. `1 : 2`
B. `1 : 4`
C. `1: sqrt(2)`
D. `sqrt(2) : 1`

Answer

B

Explanation

kinetic energy,
`K = (1)/(2) mv^(2) = ((mv)^(2))/(2m)= (p^(2))/(2m)`
`rArr p = sqrt(2mK)` or `p prop sqrt(m)`
`:. (p_(1))/(p_(2)) = sqrt((1)/(16)) = (1)/(4)`.