Home
Class 11
PHYSICS
black colored solid sphere of radius "R"...

black colored solid sphere of radius "R" and mass "M" is inside a cavity with vacuum inside.The walls of the cavity are maintained at temperature `T_(0)` .The initial temperature of the sphere is `3T_(0)` .If the specific heat of the material of the sphere varies as `alpha T^(3)` per unit mass with the temperature of the sphere,where `alpha` is a constant,then the time taken for the sphere to cool down to temperature `2T_(0)` will be ( `sigma` Stefan Boltzmann constant)

A

`(Malpha)/(4piR^2sigma)In(3/2)`

B

`(Malpha)/(4piR^2sigma)In(16/3)`

C

`(Malpha)/(16piR^2sigma)In(16/3)`

D

`(M6alpha)/(1piR^2sigma)In(3/2)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The power P is received by a surface at temperature T_(0)K from a small sphere at temperature

A solid sphere of radius R has a concentric cavity of radius (R)/(3) inside it. The sphere is found to just float in water with the highest point of it touching the water surface. Find the specific gravity of the material of the sphere.

A solid sphere of radius R has a concentric cavity of radius ' R//2 ' inside it. The sphere is found to just float in water with the highest point of it touching the water surface. The specific gravity of the material of the sphere is

A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then

Find the moment of inertia of a sphere about a tangent to the sphere, while the mass of the sphere is M and the radius of the sphere is R.

The specific heat of many solids at low temperatures varies with absolute temperature T according to the relation S=AT^(3) , where A is a constant. The heat energy required to raise the temperature of a mass m of such a solid from T = 0 to T = 20 K is

A sphere of material of relative density 8 has a concentric spherical cavity and just sinks in water.If the radius of the sphere is 2cm then the volume of the cavity is

The radius of metal sphere at room temperature T is R and the coefficient of linear expansion of the metal is alpha . The sphere is heated a little by a temperature T, so that new temperature is T+DeltaT . The increase in volume of sphere is approximately

A solid sphere and a hollow sphere of the same material and of equal radii are heated to the same temperature.

A solid sphere of radius b=4cm has a cavity of radius a=2cm. The cavity is filled with steam at 100^(@)C . The solid sphere is placed inside the ice at 0^(@)C . Thermal conductivity of material of sphere is 0.5 W/m .^(@)C . If ther ate of flow of heat through the sphere radially is x pi J//s then find the value of x.