Home
Class 12
PHYSICS
Centripetal acceleration of a particle o...

Centripetal acceleration of a particle of mass m moving in a circle of radius r is `4//r^(2)`. What is the angular momentum of the particle ?

A

4 m/r

B

`4 m// sqrt(r)`

C

`2 m sqrt(r)`

D

2 m/r

Text Solution

Verified by Experts

The correct Answer is:
C

`a = (4)/(r^(2)) = (v^(2))/(r)`
`rArr" "v = sqrt((4)/(r))`
`L = mvr = m sqrt(4r) = 2m sqrt(r)`
Hence (C) is correct.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    FIITJEE|Exercise ASSERTION REASONING TYPE|1 Videos
  • ROTATIONAL MECHANICS

    FIITJEE|Exercise COMPREHENSION I|3 Videos
  • ROTATIONAL MECHANICS

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|10 Videos
  • PHYSICS PART2

    FIITJEE|Exercise Numerical Based Question Decimal Type|6 Videos
  • SEMICONDUCTOR AND DEVICE

    FIITJEE|Exercise SOLVED PROBLEMS Objective: Level-I|20 Videos

Similar Questions

Explore conceptually related problems

A particle of mass 1kg is moving about a circle of radius 1m with a speed of 1m//s . Calculate the angular momentum of the particle.

If KE of the particle of mass m performing UCM in a circle of radius r is E. Find the acceleration of the particle

A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about P?

A particle of mass m is moving along a circle of radius r with a time period T . Its angular momentum is

A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O ?

A particle of mass 0.2 kg is moving in a circle of radius 1 m with f=(2//pi)sec^(-1) , then its angular momentum is :

Particle of mass 0.2kg is moving in a circle of radius 2m with frequency (2)/(pi)s^(-1) then its angular momentum is

A particle of mass m describes a circle of radius r with a uniform speed v. The centripetal acceleration of the pariticle is 4 / r^(2) .What is the magnitude of the linear momentum of the particle ?