Home
Class 11
PHYSICS
Two circular loops A and B are made of t...

Two circular loops `A` and `B` are made of the same wire and their radii are in the ratio `1:n`. Their moments of inertia about the axis passing through the centre and perpendicular to their planes are in the ratio `1:m`. The relation between `m` and `n` is

A

`m=n`

B

`m=n^(2)`

C

`m=n^(3)`

D

`m=n^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(I_(1))/(I_(2))=(M_(1)R_(1)^(2))/(M_(2)R_(2)^(2))` for a circular loop, `MalphaR`
`:. (I_(1))/(I_(2))=(R_(1)^(3))/(R_(2)^(3))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise NCERT based questions|15 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level -I(H.W)|58 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-II(C.W.)|64 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

One circular ring and one circular disc, both are having the same mass and radius. The ratio of their moments of inertia about the axes passing through their centres and perpendicular to their planes, will be

Derive an expression for moment of inertia of a thin circular ring about an axis passing through its centre and perpendicular to the plane of the ring.

Knowledge Check

  • One circular ring and one circular disc both having same mass and radius. The ratio of their moment of inertia about the axis passing through their centres and perpendicular to their planes will be

    A
    `1:1`
    B
    `2:1`
    C
    `1:2`
    D
    `4:1`

  • Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

    A
    `1//2MR^(2)`
    B
    `MR^(2)`
    C
    `1//4MR^(2)`
    D
    `3//4 MR^(2)`

  • Moment of inertia of a circular ring about an axis through its centre and perpendicular to its plane is

    A
    `I = (1)/(2) MR^2`
    B
    `I = MR^2`
    C
    `I = (3)/(2) MR^2`
    D
    `I = (5)/(2) MR^2`

    • Similar Questions

    Explore conceptually related problems

    The moment of inertia of a circular disc about an axis passing through the circumstances perpendicular to the plane of the disc is

    The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane

    Two circular loops A and B of radii R and 2R respectively are made of the similar wire. Their moments of inertia about the axis passing through the centre of perpendicular to their plane are I_(A)" and "I_(B) respectively. The ratio (I_(A))/(I_(B)) is :

    Two discs have same mass and thickness. Their materials are of densities d_(1) and d_(2) . The ratio of their moments of inertia about an axis passing through the centre and perpendicular to the plane is

    For the same total mass, which of the following will have the largest moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the body

    Home
    Profile