Work Energy and Power - Result Question 30

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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]

======= ####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]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/work-energy-and-power/work-energy-and-power—result-question-30.md (a) $1: 9$

(b) $9: 1$

(c) $1: 3$

(d) $3: 1$

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Answer:

Correct Answer: 33. (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

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