Home
Class 12
PHYSICS
The ratio of the kinetic energies o...

The ratio of the kinetic energies of two particles in UCM is 4:1 If their momenta are kept constant then the ratio of their masses `m_(1):m_(2)` will be

A

`4//3`

B

`1:4`

C

`1//2`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
B
In U.C.M , C.P force `=(mv ^(2))/(r ) = (m^2 v^2)/(mr) = (p ^(2))/(mr)`
` therefore mv^(2) =(p^(2))/(m) " " therefore K.E =(1)/(2) mv^(2) = (p^(2))/(2m)`
` therfore (K_(1))/(K_(2)) = (p^(2))/(2m_(1))xx(2m_(2))/(P^(2)) = (m_(2))/(m_(1))`
`( :' ` is kept constant)
` therefore (K_(1))/(K_(2)) =(4)/(1) = (m_(2))/(m_(1)) " " therefore (m_(1))/(m_(2)) =(1)/(4)`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-1|1 Videos

  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-2|1 Videos

  • ATOMS, MOLECULES AND NUCLEI

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|30 Videos

  • COMMUNICATION SYSTEMS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP -20|10 Videos

Similar Questions

Explore conceptually related problems

The ratio of kinetic energies of two spheres rolling with equal centre of mass velocities is 2 : 1. If their radii are in the ratio 2 : 1, then the ratio of their masses will be

The rotational kinetic energies of two flywheels are equal. If the ratio of their moments of inertia is 1 : 9 then the ratio of their angular momenta is

Two rings have their M.I. in the ratio 2:1. If their diameters are in the ratio of 2:1, then the ratio of their masses will be

Find the ratio of the linear omenta of two particles of masses 1.0 kg and 4.0 kg if their kinetic energies are equal.

Two particles with equal kinetic energies are having masses in the ratio of 1 : 2. Then linear momenta will be in the ratio-

The rotational kinetic energy of two bodies of moment of inertia 9 kg m^(2) and 1kg m^(2) are same . The ratio of their angular momenta is

Two bodies with kinetic energies in the ratio 4:1 are moving with equal linear momentum. The ratio of their masses is

If the ratio of time periods of circular motion of two charged particles in magnetic field in 1//2 , then the ratio of their kinetic energies must be :