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Important questions on Newtons Law Of Cooling

HARD

For a liquid, it is allowed to cool down in a room whose temperature is , it takes 5 min. to cool down from 50 to 46 Find out temperature of liquid after next 5 min.

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HARD

The circuit below is used to heat water kept in a bucket.
Assuming heat loss only by Newton's law of cooling, the variation in the temperature of the water in the bucket as a function of time is depicted by:

A
B
C
D
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HARD

A body cools from    to    in    If room temperature is    Temperature of body at the end of next    will be

A

B

C

D

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HARD

If a piece of metal is heated to temperature and then allowed to cool in a room which is at temperature , the graph between the temperature of the metal and time will be closest to

A
B
C
D
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HARD

A body cools from to in 5 . How long will it take to cool from to ? Assume the temperature of surroundings to be and Newton's law of cooling to be valid.

A

2.5

B

10

C

20

D

9

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HARD

A body cools in a surrounding which is at a constant temperature of . Assume that it obeys Newtons law of cooling. Its temperature  is plotted against time ''. Tangents are drawn to the curve at the points   and . These tangents meet the time axis at angles of  as shown. Then, 

A

B

C

D

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HARD

The temperature of the body in C denoted by the variation of versus time t is best denoted as

A
B
C
D
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HARD

A black body at , when suspended in black enclosure at cools at a certain rate. Find the temperature of body at which its rate of cooling will be half of above rate. Assume the other conditions remain unchanged.

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HARD

A pendulum clock is sec fast at temperature of and sec slow at a temperature of . At temperature does it give the correct time-

A

B

C

D

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HARD

State and prove Newton's law of cooling .

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