Work Energy And Power Ques 27

27. Two masses of $1$ $ g$ and $9 $ $g$ are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

[1993]

(a) $1: 9$

(b) $9: 1$

(c) $1: 3$

(d) $3: 1$

Show Answer

Answer:

Correct Answer: 27.(c)

Solution:

  1. (c) $\frac{1}{2}(1) v_1^{2}=\frac{1}{2}(9) v_2^{2}$

$\Rightarrow \frac{v_1^{2}}{v_2^{2}}=9$ or $\frac{v_1}{v_2}=3$

Ratio of their linear momenta

$=\frac{m_1 v_1}{m_2 v_2}=\frac{1}{9} \times(3)=\frac{1}{3}$