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At a common temperature, a block of wood...

At a common temperature, a block of wood and a block of metal feel equally cold or hot. The temperatures of block of wood and block of metal are

A

Equal to temperature of the body

B

Less than the temperature of the body

C

Greater than temperature of the body

D

Either (b) or (c)

Text Solution

Verified by Experts

The correct Answer is:
A

If temperature of an object is equal to that of human body, no heat is transferred from the object to body and vice versa.
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A block is kept in a room which is at 20^(@)C . To raise the temperature of the block, heat is given to it at a constant rate of 600 watt (using an electric heater). The temperature of the block rises with time as shown in the graph. The slope of the graph at time t = 0 is 3^(@)C s^(-1) . Once the temperature rises to 60^(@)C , the heater is switched off and another heater is switched on to maintain the temperature of the block at 60^(@)C . This new heater supplies heat at a constant rate of 100 watt. Assume that heat capacity of the block remains constant for the range of temperature involved. (a) Explain why the slope of the given graph is decreasing with time. (b) Calculate the heat capacity of the block. (c) If the 100 W heater is also switched off, what will be initial rate of cooling of the block? (d) Assuming that rate of heat loss by the block to the surrounding is proportional to difference in its temperature with surrounding, calculate the heat radiated per second by the block when it was at 30^(@)C .

A cube of mass 1 kg and volume 125cm^2 is placed in an evacuated chamber at 27^@C . Initially temperature of block is 227^@C . Assume block behaves like a block body, find the rate of cooling of block if specific heat of the material of block is 400 J//kg-K .

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