Question

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

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

Answer 1

The correct option is D

1 : 4

$\frac{(K.E.{)}_1}{(K.E.{)}_2}=\frac{p^2/2m_1}{p^2/2m_2}=\frac{4}{1}\Rightarrow \frac{m_1}{m_2}=\frac{1}{4}$