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

Two bodies of masses ′m′ and ′4m′ are having linear momentum in the ratio of 2:1, respectively. The ratio of their kinetic energy is

A
4:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1:4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1:8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
16:1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 16:1
Lets assume that
P1= Linear momentum of mass m
KE1= Kinetic energy of mass m
P2= Linear momentum of mass 4m
KE2= Kinetic energy of mass 4m

We also know that, the relation between kinetic energy and linear momentum is given by,
KE=P22m
KE1KE2=P212mP222×4m

P1P2=(21) (given)

KE1KE2=(21)2×4=(16:1)

Hence option D is the correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon