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A metal cylinder of mass 0.5kg is heated...

A metal cylinder of mass `0.5kg` is heated electically by a `12 W` heater in a room at `15^(@)C` The cylinder temperature rises uniformly to `25^(@)C` in 5 min and finally becomes constant at `45^(@)C` Asuming that the rate of heat loss is proportional to the excess temperature over the surroundings .

A

the rate of loss of heat of the cylinder to surrounding at `20^@C` is 2 W

B

the rate of loss of heat of the cylinder to surrounding at `45^@C` is 12 W

C

specific heat capacity of metal is `240/(ln(3//2))J//kg^@C`

D

none of the above

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The correct Answer is:
A, B, C
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A metal cylinder of mass 0.5kg is heated electrically by a 12 W heater in a room at 15^(@)C The cylinder temperature rises nuniformly to 25^(@)C in 5 min and finally becomes constant at 45^(@)C Asuming that the rate of heat loss is proporational to the excess temperature over the surroundings .

A metal cylinder of mass 0.5 kg is heated electrically by a 12 W heater in a room at 15^(@) C. The cylinder temperature rises uniformly to 25^(@) C in 5 min and finally becomes constant at 45^(@) C Assuming that the rate of heat losss is proportional to the excees temperature over the surroundings,

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A metal ball of mass 1kg is heated by means of a 20W heater in a room at 20^(@)C . The temperature of the ball becomes steady at 50^(@)C . (a) Find the area of loss of heat to the surrounding when the ball is at -50^(@)C . (b) Assuming Newton's law of cooling, calculate the rate of loss of heat to the surrounding when the ball is at 30^(@)C . (c) Assume that the temperature of the ball rises uniformly from 20^(@)C to 30^(@)C in 5 minutes. Find the total loss of heat to the surrounding during this period. (d) Calculate the speific heat capicity of the metal.

A metal bal of mass 1 kg is heated by means of a 20 W heater in a room at 20^(@)C . The temperature of the ball becomes steady at 50^(@)C . Assume newton's law of cooling to hold good in the given situation. The temperature of the bal rises uniformly from 20^(@)C to 30^(@)C in 5 minutes. select the correct alternatives (1) The rate of heat loss by ball to surrounding is 20 W, when it is at 50^(@) (2) Ther ate of heat loss by ball to surrounding is (20)/(3)W , when it is at 30^(@)C (3) The rate of heat loss by ball to surrounding 20 W, when it is at 30^(@)C (4). The specific heat capacity of the gas is 500 J/kg K.

A body cools at the rate of 0.5^(@)C//s when it is 50^(@)C above the surrounding temperature. The rat of cooling at excess temperature of 30^(@)C over the surrounding temperature is

The temperature of a body falls from 40^(@)C to 30^(@)C in 10 min when placed in a surrounding of constant temperature 15^(@)C . Find the time taken for the temperature of the body to becomes 20^(@)C

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