Home
Class 12
PHYSICS
Two discs have same mass and thickness. ...

Two discs have same mass and thickness. Their materials are of densities `rho_(1)` and `rho_(2)`. The ratio of their moment of inertia about central axis will be

A

`rho_1 : rho_2`

B

`rho_1 rho_2 :1`

C

`1 : rho_1 rho_2`

D

`rho_2 : rho_1`

Text Solution

Verified by Experts

The correct Answer is:
D
M.I. of disc `I = (1)/(2) MR^(2) = (1)/(2) M((M)/(pi rho t)) = (1)/(2) (M^(2))/( pi rho t)`
`:. I prop (1)/(rho)` [ If M and t are constant ]
`implies (I_1)/(I_2) = (rho_2)/(rho_1) implies I_1 : I_2 = rho_2 : rho_1`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 4

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • MOCK TEST 3

    VMC MODULES ENGLISH|Exercise PART I : PHYSICS (SECTION-2)|10 Videos

  • MOCK TEST 5

    VMC MODULES ENGLISH|Exercise PHYSICS ( SECTION-2)|5 Videos

Similar Questions

Explore conceptually related problems

Two discs have same mass and thickness. Their materials are of densities pi_(1) and pi_(2) . The ratio of their moment of inertia about central axis will be

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

Two discs of same mass and same thickness have densities as 17 g//cm^(3) and 51 g//cm^(3) . The ratio of their moment of inertia about their central axes is

Two discs A and B have same mass and same thickness but A is made of aluminium and B is made of lead. Which has larger moment of inertia about the central axis?

Two solid spheres are made up of the same material of density rho . The ratio of their radii is 1 : 2 . The ratio of their moments of inertia about their respective diameters is

If two circular disks of having the same weight and thickness are made from metals having different densities. Which disk, if either will have the larger moment of inertia about its central axis.

The masses of two uniform discs are in the ratio 2 : 1 and their radii are in the ratio 1 : 2 . The ratio of their moments of inertia about the axis passing through their respective centres normal to plane is

The masses of two uniform discs are in the ratio 1 : 2 and their diameters in the ratio 2 : 1 . The ratio of their moment, of inertia about the axis passing through their respective centres and perpendicular to their planes is

(A) : Two circular discs of equal masses and thickness made of different material, will have same moment of inertia about their central axes of rotation. (R ) : Moment of inertia depends upon the distribution of mass in the body.

Equal masses of two substance of densities rho_(1) and rho_(2) are mixed together. What is the density of the mixture?