Home
Class 12
PHYSICS
Two moving bodies having mass in the rat...

Two moving bodies having mass in the ratio 1 : 2 and kinetic energy in the ratio 1:8. Find the ratio of their velocities.

A

`1:6 `

B

`1:2`

C

`1:4 `

D

`1:8`

Text Solution

Verified by Experts

The correct Answer is:
B
Kinetic energy, `K_1 = 1/2 m_1v_1^2`
and `K_2 = 1/2 m_2 v_2^2`
`therefore (K_1)/(K_2) = (m_1v_1^2)/(m_2 v_2^2)`
`implies (v_1^2)/(v_2^2) = (K_1)/(K_2) xx (m_2)/(m_1) = 1/8 xx 2/1 = 1/4`
`implies (v_1)/(v_2) = 1/2`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

Two moving bodies of masses 5 kg and 25 kg have same kinectic energies . Find the ratio of their linear momentum .

Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then

Two particles have masses m and 4m and their kinetic energies are in the ratio 2 : 1. What is the ratio of their linear momenta?

An alpha particle and a proton have their masses in the ratio 4:1 and charges in the ratio 2: 1. Find ratio of their de-Broglie wavelengths when both move with equal velocities. In Q-20, find ratio of de-Broglie wavelengths, when both have equal kinetic energy.

An a particle and a proton have their masses in the ratio 4:1 and charges in the ratio 2: 1. Find ratio of their de-Broglie wavelengths when both move with equal velocities.

Two wires of the same material having radii in the ratio 1:2 , carry currents in the ratio 4:1 . The ratio of drift velocities of electrons in them is:

Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3:1 . What is the ratio of their linear momentum ?