Question

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

(a) 4 : 1

(b)\( \sqrt{2}:1 \)

(c) 1: 2

(d) 1 : 16

Answer 1

The correct option is c)1:2

\(p=\sqrt{2Em}\) 

Where p denotes momentum, E denotes kinetic energy and mdenotes mass.

\({p_1\over p_2}=\sqrt{m_1\over m_2}\) 

\({p_1\over p_2} =\sqrt { 1\over 4}={1\over 2}\)