Work Energy and Power - Result Question 30
33. 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) $3: 1$
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Answer:
Correct Answer: 33. (c)
Solution:
- (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
$=\frac{m_1 v_1}{m_2 v_2}=\frac{1}{9} \times(3)=\frac{1}{3}$
