Home
Class 12
PHYSICS
According to Newton's law of cooling, th...

According to Newton's law of cooling, the rate of cooling of a body is proportional to `(Delta theta)^n`, where `Delta theta` is the difference of the temperature of the body and the surroundings, and n is equal to

A

Two

B

Three

C

Four

D

One

Text Solution

Verified by Experts

The correct Answer is:
D

According to Newton.s law of cooling, rate of cooling is `(Delta theta)/(Delta t)=k(theta_(@)-theta)` Now from equation. `therefore (Delta theta)^(n)=(Delta theta) implies n=1`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 98

    NTA MOCK TESTS|Exercise Physics (SUBJECTIVE NUMERICAL) |10 Videos
  • NTA TPC JEE MAIN TEST 94

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

Similar Questions

Explore conceptually related problems

Ac cording to Newton's law of cooling, the rate of cooling of a body is proportional to (Delta theta)^(n) , where Delta theta is the difference of the temperature of the body and thae surrounding. What is the value of n out of 4,3,2,and 1?

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

Knowledge Check

  • According to Newton’s law of cooling, the rate of cooling of a body is proportional to (Deltatheta)^(n) , where Deltatheta is the difference of the temperature of the body and the surrounding, and n is equal to :

    A
    One
    B
    two
    C
    three
    D
    four
  • According to Newton's law of cooling ,the rate of cooling of a body is proportional to the

    A
    temperature of the body
    B
    temperature of the surrounding
    C
    difference of the temperature of the body and its surroungs
    D
    none of these
  • According to ‘Newton’s Law of cooling’, the rate of cooling of a body is proportional to the

    A
    Temperature of the body
    B
    Temperature of the surrounding
    C
    Fourth power of the temperature of the body
    D
    Difference of the temperature of the body and the surroundings
  • Similar Questions

    Explore conceptually related problems

    According to Newton's law of cooling, the rate of cooling of a body in air is proportional to the difference between the temperature of the body and the temperature of the surrounding air. If the air temperature is 20^(@)C and the body cools for 20 minutes from 140^(@)Cto80^(@)C , then the temperature will be 50^(@)C in

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

    According to Newton’s law of cooling. The rate of loss of heat, -"d"theta//dt of the body is

    Assertion: According to Newton's law of cooling, the rate of loss of heat, -dQ//dt of the body is directly proportional to the difference of temperature. Reason :This law holds for all type of temperature differences.

    According to Newton's law, rate of cooling is proportional to the difference between the temperature of the body and the temperature of the air. If the temperature of the air is 20^(@)C and body cools for 20 min from 100^(@)C to 60^(@)C then the time it will take for it temperature to drop to 30^(@) is