Two bodies A and B having mass m and M respectively possess same kinetic energy. Given that M > m. If pA and pB be their momenta, then which of the following statement is true ?

Q: Two bodies A and B having mass m and M respectively possess same kinetic energy. Given that M > m . If pA and pB be their momenta , then which of the following statement is true ?

(a) pA = pB

(b) pA > pB

(c) pA < pB

(d) it cannot be predicted

Ans: (c)

Sol: $\displaystyle K_A = K_B $

$\displaystyle  \frac{p_A^2}{2 m} = \frac{p_B^2}{2 M} $

$\displaystyle  \frac{p_A}{p_B} = \sqrt{\frac{m}{M}} < 1$

pA < pB