Home
Class 12
PHYSICS
Consider a solid sphere placed in surrou...

Consider a solid sphere placed in surrounding with small temperature difference between sphere's surface and surrounding. If `DeltaT` and `r` represent temperature difference (between sphere and surrounding) and radius of sphere respectively, rate of cooling of the sphere is directly proportional to:

A

`(DeltaT)^(4)`

B

`DeltaT`

C

`r^(2)`

D

`1/r`

Text Solution

Verified by Experts

The correct Answer is:
B, D
rate of cooling `=(4esigmaADeltaT)/(ms)` if `DeltaT` is small
`=(4esigma(4pir^(2))DeltaT)/(rho34/3pir^(3)s)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A solid sphere and a hollow sphere of the same material and size are heated to the same temperature and allowed to cool in the same surroundings. If the temperature difference between the surroundings and each sphere is T, then :

For a small temperature difference between the body and the surroundings the relation between the rate of loss heat R and the temperature of the body is depicted by

As difference of temperature of body and surroundings increases, rate of cooling

For a small temperature difference between the body and the surroundings, the relation between the rate of heat loss R and the temperature of the body is depicted by

A large sphere of radius 3.5cm is carved from cubical solid.Find the difference between their surface areas

A sphere of density d , specific heat s and radius r is hung by a thermally insulating thread in an enclosure which is kept at a lower temperature than the sphere. The temperature of the sphere starts to drop at a rate which depends upon the temperature difference between the sphere and the enclosure. If the temperature difference is DeltaT and surrounding temperature is T_(0) then rate of fall in temperature will be [Given that DeltaT lt lt T_(0) ]

Two spheres of same material and radius r and 2r are heated to same temperature and are kept in identical surroundings, ratio of their rate of loss of heat is

The rates of fall temperature of two identical solid spheres of different materials are equal at a certain temperature if:

For a sphere made out of a certain material, the moment of inertia of the sphere is proportional to [ radius of the sphere = R ]