Home
Class 8
PHYSICS
Two spheres made of different materials ...

Two spheres made of different materials but having the same mass, hace radii in the ratio of 3 : 4. Find the ratio of their densities.

Text Solution

Verified by Experts

Volume of a sphere, `V = 4/3 pi r^3`
Density of substance = mass of the substance/ volume of the substance
When the mass of two spheres are same then the ratio of densities, `D_1/D_2 = V_2/V_1`
The ratio of radi of the two spheres ` = r_1/r_2 = 3/4`
Then, the ratio of then volumes ` = V_1/V_2 = (4/3 pi r_1^3)/(4/3 pi r_2^3)`
` rArr V_1/V_2 = (r_1^3)/(r_2^3) = (3^3)/(4^3) = 27/64`
Then, the ratio of densities of the two spheres
` = D_1/D_2 = V_2/V_1 rArr D_1/D_2 = 64/27`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two spheres made of different materials have their masses in the rato of 1:2. If the diameter of the first sphere is equal to the radius of the second sphere, tehn determine the ratio dinsities volume of sphere = (4)/(3) pir^(3)

Two sphere made of the same material have their radii in the ratio of 2 : 1 . What is the ratio of the radiant energy emitted per second by them if both of them are at the same temperature ?

The ratio of the radii of two spheres is 1 : 3. Find the ratio of their volume.

The radii of two spheres are in the ratio 1 : 2 . Find the ratio of their surface areas.

The ratio of radii of two circles is 3:4. Find the ratio of their circumferences.

Two spheres of same material are moving with linetic energies in the ration 108:576 . If the ratio of their veloctities is 2:3 , then the ratio of their radii is

Two wires of different materials have resistances in the ratio 4 : 3 , lengths in the ratio 2 : 1 but have same radii of cross-section. Compare their resistivities.