Home
Class 12
PHYSICS
If the linear momentum of a body is incr...

If the linear momentum of a body is increased by `50%` then the kinetic energy of that body increases by

A

2.25

B

0.25

C

1

D

1.25

Text Solution

Verified by Experts

The correct Answer is:
d
Let p be initial momentum of body of mass m so its K.E. is `E=(p^2)/(2m)`
New momentum `p.=p+(50)/(100)p=(3p)/(2)`
`:. E.=(p^2)/(2m)=(9p^2)/(4xx2m)`
`:.` % increase in K.E.=`(E.-E)/(E)xx100`
=`((9p^2)/(4xx2m)-(p^2)/(2m)xx100)/((p^2)/(2m))=5/4xx100`
=125%.
Promotional Banner

Topper's Solved these Questions

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Revision Test|40 Videos

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-III)|5 Videos

  • WAVE OPTICS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

If the momentum of a body increases by 0-01%, its kinetic energy will increase by:

The momentum of body decreases by 20% The percentage decrease in kinetic energy of the body is :

The momentum of a body is numerically equal to its kinetic energy. The velocity of the body is :

Show that kinetic energy of rotating body is 1/2 I sigma^2

If the side of a cube is increased by 5%, then the surface area of a cube is increased by