Home
Class 11
PHYSICS
Two metal spheres are falling through a ...

Two metal spheres are falling through a liquid of density `2xx10^(3)kg//m^(3)` with the same uniform speed. The material density of sphere 1 and sphere 2 are `8xx10^(3)kg//m^(3)` and `11xx10^(3)kg//m^(3)` respectively. The ratio of their radii is :-

A

`(11)/(8)`

B

`sqrt((11)/(8))`

C

`3/2`

D

`sqrt(3/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_T=(2r^2 g)/(9)((rho-sigma))/(eta)`
`v_T prop r^2(rho-sigma), v_(T_1)=v_(T_2)`
`implies r_1^2(8-2)xx10^3=r_2^2(11-2)xx10^3`
`implies (r_1)/(r_2)=sqrt(9/6)=sqrt(3/2)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

A hemispherical bowl just floats without sinking in a liquid of density 1.2xx10^(3)kg//m^(3) . If outer diameter and the density of the bowl are 1m and 2 xx 10^(4) kg//m^(3) respectively, then the inner diameter of bowl will be

The speed of sound in a liquid of density 2 xx 10^(3) kg//m^(3) is 1000 m/s. Determine the bulk modulus of elasticity of the liquid.

If the density of copper is 8.9xx10^(3)kg//m^(3) , find its relative density.

What fraction of an iceberg ice beneath the surface of the sea? Density of sea water (rho)=1.028xx10^(3)kg//m^(3) , density of ice d. =0.917xx10^(3)kg//m^(3)

A uniform solid sphere has radius 0.2 m and density 8xx10^(3)kg//m^(2) . Fing the moment of inertia about the tangent to its surface. (pi=3.142)

Calculate the speed of longitudinal wave in steel. Young's modulus for steel is 3xx10^(10)N//m^(2) and its density 1.2xx10^(3)kg//m^(3)

A steel shot of diameter 2 mm is dropped in a viscous liquid filled in a drum. Find the terminal speed of the shot. Density of the material of the shot =8.0xx10^(3)kg//m^(3) , density of liquid =1.0xx10^(3)kg//m^(3) . Coefficient of viscosity of liquid =1.0kg//(m-s),g=10m//s^(2)