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A body cools from 50^(@)C to 49.9^(@)C i...

A body cools from `50^(@)C` to `49.9^(@)C` in 5 s. the temperature of the surroundings is `30^(@)C`. How long will the body, take to cool from `40^(@)C` to `39.9^(@)C`?

A

2.5 seconds

B

5 seconds

C

7.5 seconds

D

10 seconds

Text Solution

Verified by Experts

The correct Answer is:
D

`((d theta)/(dt))_(1)=k(theta_(AV)-theta_(0))`
`((d theta)/(dt))_(2)=k(theta_(AV)-theta_(0))`
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NIKITA PUBLICATION-KINETIC THEORY OF GASES & RADIATION -MCQs (Newtons Law of Cooling)
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  5. A body takes, 4 minutes to cool from 100^(@)C to 70^(@)C, if the room ...

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  7. A hot water kept in a beaker placed in a room cools from 60^(@)C to 50...

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  8. A vessel full of hot water is kept in a room and it cools from 80^(@)C...

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  9. A body cools from 50^(@)C to 49.9^(@)C in 5 s. the temperature of the ...

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  10. A body cools from 50^(@)C to 46^(@)C in 5 min and to 40^(@)C in the ne...

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  11. A body cools from 60^(@)C to 50^(@)C in 10 minutes . If the room tempe...

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  12. A body cools at the rate of 0.6^(@)C//s when it is 40^(@)C above the s...

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  13. A body cools from 60^(@)C to 52^(@)C in five minutes. What will be fur...

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  14. A body cools at the rate of 3^(@)C//min when its temperature is 50^(@)...

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  15. A body cools at the rate of 0.75^(@)C//s when it is 50^(@)C above the ...

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  16. A sphere and a cube of equal volumes both are made of iron and have si...

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  17. In the above question, the ratio of the initial rate of fall of temper...

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  19. A body cools at the ratio of 1.2^(@)C//min when its temperature is mor...

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  20. If the temperature of the body theta and time of cooling 't' and room ...

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