Work Energy and Power - Result Question 32
35. Two bodies of masses $m$ and $4 m$ are moving with equal kinetic energies. The ratio of their linear momenta will be
[1988]
(a) $1: 4$
(b) $4: 1$
(c) $1: 2$
(d) $2: 1$
Topic 3: Power
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Answer:
Correct Answer: 35. (c)
Solution:
(c) $\frac{K_1}{K_2}=\frac{p_1^{2}}{m_1} \times \frac{m_2}{p_2^{2}}[\because p=m v \Rightarrow K=\frac{p^{2}}{2 m}]$
Hence, $\frac{p_1}{p_2}=\sqrt{\frac{M_1}{M_2}}=\sqrt{\frac{1}{4}}=\frac{1}{2}$
