Two bodies of masses m1 and m2 having equal kinetic energies- If p1 and p2 are their momentum respectively- Then the ratio of p1 and p2 is-A- m 1 - m 2B- m 2 - m 1C- -m1 - -m2D- m 12 - m 22

The correct option is C We know, Kinetic energy = P^2/2m nbsp; Given: nbsp;Kinetic energy is equal for both the body p_1^2/2m_1 nbsp;= p_2^2/2m_2 p_1 ...

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Standard IX

Physics

Kinetic Energy

Two bodies of...

Question

Two bodies of masses m₁ and m₂ having equal kinetic energies. If p₁ and p₂ are their momentum respectively, Then the ratio of p₁ and p₂ is.

m₁/m₂

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m₂/m₁

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m₁²/m₂²

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Solution

The correct option is C

We know, Kinetic energy = $\frac{P^{2}}{2 m}$

Given: Kinetic energy is equal for both the body

$\frac{{p_{1}}^{2}}{{2 m}_{1}}$ = $\frac{{p_{2}}^{2}}{{2 m}_{2}}$

$\frac{{p_{1}}^{2}}{{p_{2}}^{2}}$ = $\frac{m_{1}}{m_{2}}$

$\frac{p_{1}}{p_{2}}$ = $\frac{\sqrt{m_{1}}}{\sqrt{m_{2}}}$

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