Two masses of 1g and 4g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is

Q: Two masses of 1g and 4g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is

(a)4:1

(b)√2:1

(c)1:2

(d)1:16

Ans:(c)

Sol: $\large K.E = \frac{p^2}{2m}$

$\large \frac{p_1^2}{2m_1}=\frac{p_2^2}{2m_2}$

$\large \frac{p_1^2}{p_2^2}= \frac{m_1}{m_2}$