wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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


A

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

12

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

14

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

12


Step 1: Given

  1. The mass of two particles are m and 4m
  2. The ratio of kinetic energies are 2:1

Step 2: Solution

From the relation of kinetic energy and momentum

KE=P22m

KE=The kinetic energy of the particle

P= The momentum of the particle

m= The mass of the particle

The kinetic energy of the first particle

KE1=P122m

The kinetic energy of the second particle

KE2=P228m

The ratio of the kinetic energy of the two particles

KE1KE2=21[Given]

P122mP228m=21P12P22=12P1P2=12

Hence, the correct option is B.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
A No-Loss Collision
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon