A hot body is suspended inside a room th...

A hot body is suspended inside a room that is maintained at a constant temperature. The temperature difference between the body and the surrounding becomes half in a time interval `t_(0)`. In how much time the temperature difference between the body and the surrounding will becomes `(1)/(4)` the original value?

Text Solution

Verified by Experts

The correct Answer is:

`t=2t_(0)`

Topper's Solved these Questions

GRAVITATION
ARIHANT|Exercise Exercise|64 Videos
KINEMATICS
ARIHANT|Exercise Level 3|33 Videos

Similar Questions

Explore conceptually related problems

Newton's law of cooling holds good provided the temperature difference between the body and the surroundings is .

Newton’s law of cooling, holds good only if the temperature difference between the body and the surroundings is

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

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

A hot body is placed in a closed room maintained at a lower temperature. Is the number of photons in the room increasing?

A hot liquid is kept in a big room. The logarithm of the numerical value of the temperature difference between the liquied and the room is plot will be very nearly

Instantaneous temperature difference between cooling body and the surroundings obeying Newton's law of cooling is theta . Which of the following represents the variation of In theta with time t?

Newton’s law of cooling says that the rate of cooling of a body is proportional to the temperature difference between the body and its surrounding when the difference in temperature is small. (a) Will it be reasonable to assume that the rate of heating of a body is proportional to temperature difference between the surrounding and the body (for small difference in temperature) when the body is placed in a surrounding having higher temperature than the body? (b) Assuming that our assumption made in (a) is correct estimate the time required for a cup of cold coffee to gain temperature from 10^(@)C to 15^(@)C when it is kept in a room having temperature 25^(@)C . It was observed that the temperature of the cup increases from 5^(@)C to 10^(@)C in 4 min

A body at a temperature of 50^0F is placed outdoors where the temperature is 100^0F . If the rate of change of the temperature of a body is proportional to the temperature difference between the body and its surrounding medium. If after 5 min the temperature of the body is 60^0F , find (a) how long it will take the body to reach a temperature of 75 ^0 F and (b) the temperature of the body after 20 min.

ARIHANT-HEAT TRANSFER-Heat Transfer

Majority of radiation from the Sun is in visible and near infra-red (0...
Text Solution
|
A metal ball of mass 1.0 kg is kept in a room at 15^(@)C. It is heated...
Text Solution
|
A hot body is suspended inside a room that is maintained at a constant...
Text Solution
|
Newton’s law of cooling says that the rate of cooling of a body is pro...
Text Solution
|
“Blue hot is hotter than red hot”. Explain.
Text Solution
|
A planet of radius r(0) is at a distance r from the sun (r gtgt r(0))....
Text Solution
|
A star having radius R has a small planet revolving around it at a dis...
Text Solution
|
A 20 mm diameter copper pipe is used to carry heated water. The extern...
Text Solution
|
Solar constant, I(s) is defined as intensity of solar radiation incide...
Text Solution
|
A tapering rod of length L has cross sectional radii of a and b(lt a) ...
Text Solution
|
A thick cylindrical shell made of material of thermal conductivity k h...
Text Solution
|
A double pan window used for insulating a room thermally from outside ...
Text Solution
|
The container A contains ice at O^(@)C. A conducting uniform rod PQ of...
Text Solution
|
Two identical adiabatic containers of negligible heat capacity are con...
Text Solution
|
A copper slab is 2 mm thick. It is protected by a 2 mm layer of stainl...
Text Solution
|
A steel plate is 0.3 m long, 0.1m wide and 0.012 m thick. The plate is...
Text Solution
|
A straight cylindrical wire is connected to a battery. The wire is mai...
Text Solution
|
A spherical shell is kept in an atmosphere at temperature T(0). The wa...
Text Solution
|
A body at a temperature of 50^(@)C cools to 49^(@)C in time Deltat whe...
Text Solution
|
A plane surface A is at a constant temperature T(1) = 1000 K. Another ...
Text Solution
|