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Newton's law of cooling

This type of question, asked 9 times: 2 May 2023 S1, 2 May 2023 S2, 3 May 2023 S2, 14 May 2024 S2, 23 Apr 2025 S1, 13 Apr 2026 S2, 16 Apr 2026 S2, 18 Apr 2026 S1, 19 May 2026 S1. All 9 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2 May 2023 S1

    133
    A spherical metal ball at 80∘80^\circC cools in 5 minutes to 60∘60^\circC, in surrounding temperature of 20∘20^\circC, then the temperature of the ball after 20 minutes is approximately

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  2. Question 2

    2 May 2023 S2

    111
    A body cools from 100∘C100^\circ\text{C} to 60∘C60^\circ\text{C} in 15 minutes. If the surrounding temperature is 20∘C20^\circ\text{C}, the temperature of the body after cooling for one hour is

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  3. Question 3

    3 May 2023 S2

    145
    If a body cools from 80∘C80^{\circ}C to 60∘C60^{\circ}C in the room temperature of 30∘C30^{\circ}C in 30 min, then the temperature of a body after one hour is

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  4. Question 4

    14 May 2024 S2

    135
    If a body cools from 80°C80°C to 50°C50°C in a room temperature of 25°C25°C in 30 minutes, then the temperature of the body after 1 hour is

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  5. Question 5

    23 Apr 2025 S1

    114
    The rate at which a substance cools in moving air, is proportional to the difference between the temperature of the substance and that of air. The temperature of air is 290 K and the substance cools from 370 K to 330 K in 10 minutes. Then the time to cool the substance up to 295 K is

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  6. Question 6

    13 Apr 2026 S2

    87
    A body cools according to Newton's law of cooling from 100∘100^\circC to 60∘60^\circC in 2020 minutes. The temperature of the surroundings being 20∘20^\circC, then the total time required for the body to cool down to 30∘30^\circC is

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  7. Question 7

    16 Apr 2026 S2

    85
    If water at 100∘C100^\circ\mathrm{C} cools in 10 minutes to 80∘C80^\circ\mathrm{C} and to 65∘C65^\circ\mathrm{C} in the next 10 minutes, then the room temperature will be ...

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  8. Question 8

    18 Apr 2026 S1

    86
    A body cools from 100 ∘C100\ ^\circ\mathrm{C} to 60 ∘C60\ ^\circ\mathrm{C} in 20 minutes, the temperature of the surroundings being 20 ∘C20\ ^\circ\mathrm{C}. The total time taken (in minutes) for the body to cool down to 40 ∘C40\ ^\circ\mathrm{C} is ...

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  9. Question 9

    19 May 2026 S1

    87
    A body cools from 100∘C100^\circ\mathrm{C} to 80∘C80^\circ\mathrm{C} in 5 minutes in air at 20∘C20^\circ\mathrm{C}. The time taken to cool from 80∘C80^\circ\mathrm{C} to 60∘C60^\circ\mathrm{C} will be:

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