Home
Class 12
MATHS
A particular substance is being cooled b...

A particular substance is being cooled by a stream of cold air (temperature of the air is constant and is `5^(@)C`) where rate of cooling is directly proportional to square of difference of temperature of the substance and the air.
If the substance is cooled from `40^(@)C` to `30^(@)C` in 15 min and temperature after 1 hour is `T^(@)C,` then find the value of `[T]//2,` where [.] represents the greatest integer function.

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 5|4 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

What is the difference between rate of cooling and rate of loss of heat?

According to Neton's law of cooling, the rate of colling of a body is proportional to (Deltatheta)^n , where Deltatheta is difference of temprature of the body and the surroundings, and n is equal to

In a zero-order reaction for every 10^@ rise of temperature, the rate is doubled. If the temperature is increased from 10^@ C to 100^@C , the rate of the reaction will become

At the given temperature, osmotic pressure of a concentrated solution of substances