Question

The mass of two bodies are 1 kg and 2 kg respectively and their kinetic energy are 1J and 2J respectively. The ratio of their momentum is given by

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

Answer 1

The correct option is D 1 : 2

We, know that momentum is given by, $p=\sqrt{2Em}$

$\therefore \frac{P_{{}_1}}{P_2}=\sqrt{\frac{E_1{m}_1}{E_2{m}_2}}$

$\Rightarrow \sqrt{\frac{1}{2}\times \frac{1}{2}}=\sqrt{\frac{1}{4}}=\frac{1}{2}$