Four particles A, B, C, D of mass m/2 , m, 2m, 4m, have same momentum, respectively. The particle with maximum kinetic energy is : ​

Question

Four particles A, B, C, D of mass \( \frac{m}{2}\) , m, 2m, 4m, have same momentum, respectively. The particle with maximum kinetic energy is : 

(1) D 

(2) C 

(3) A 

(4) B

Answer 1

Correct option is : (3) A

\( \text { Kinetic energy }=\frac{\mathrm{P}^2}{2 \mathrm{m}}\)

\(\mathrm{P} \Rightarrow \text { momentum (same for all) }\)

\(\mathrm{KE} \propto \frac{1}{\text { mass }}\)

particle A is of least mass, have maximum kinetic energy