Question:
Two masses of 1 g and 4 g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is
Two masses of 1 g and 4 g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is
Updated On: Jun 14, 2022
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- $\sqrt2 : 1$
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The Correct Option is C
Solution and Explanation
$p=\sqrt{2Km} \, \, \, \, or \, \, \, \, p = \sqrt m,$
$\hspace15mm \frac{m_1}{m_2}=\frac{1}{4} \, \, \, \Rightarrow \, \, \therefore \, \, \, \frac{p_1}{p_2}=\frac{1}{2}$
$\hspace15mm \frac{m_1}{m_2}=\frac{1}{4} \, \, \, \Rightarrow \, \, \therefore \, \, \, \frac{p_1}{p_2}=\frac{1}{2}$
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Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
