Question

Two masses of 1g and 4g are moving with equal kinetic energy. The ratio of the magnitude of their linear momentum is:

• A. 1 : 1
• B. 1 : 2
• C. 1 : 3
• D. 1 : 4

Answer 1

Answer: (B)

1 : 2

$m_1=m;m_2=4m$

K.E$=\frac{1}{2}m{V}_1^2=\frac{1}{2}\left(4m\right)V_2^2$

$V_1=2V_2$

$\frac{P_2}{P_1}=\frac{m_2{V}_2}{m_1{V}_1}=\frac{m{V}_1}{m\left(2V_2\right)}=\frac{1}{2}$