Back to Directory
NEET PHYSICSEasy

Ratio of total kinetic energy and rotational kinetic energy in the motion of a disc is:

A

1:11:1

B

2:72:7

C

1:21:2

D

3:13:1

Step-by-Step Solution

In pure rolling motion of a disc, the total kinetic energy (KtotalK_{total}) is the sum of its translational kinetic energy (KtK_t) and rotational kinetic energy (KrK_r). Kt=12mv2K_t = \frac{1}{2}mv^2 Kr=12Iω2K_r = \frac{1}{2}I\omega^2 For a disc, the moment of inertia about its central axis is I=12mR2I = \frac{1}{2}mR^2. Also, v=Rωv = R\omega for pure rolling. So, Kr=12(12mR2)(vR)2=14mv2K_r = \frac{1}{2} \left(\frac{1}{2}mR^2\right) \left(\frac{v}{R}\right)^2 = \frac{1}{4}mv^2 Ktotal=Kt+Kr=12mv2+14mv2=34mv2K_{total} = K_t + K_r = \frac{1}{2}mv^2 + \frac{1}{4}mv^2 = \frac{3}{4}mv^2 The ratio of total kinetic energy to rotational kinetic energy is: KtotalKr=34mv214mv2=31=3:1\frac{K_{total}}{K_r} = \frac{\frac{3}{4}mv^2}{\frac{1}{4}mv^2} = \frac{3}{1} = 3:1

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started
Solved: PHYSICS Question for NEET | Sushrut