Newton's law of cooling with the average-temperature method: time or temperature over an interval
This type of question, asked 10 times: May 2021 S1, 9 May 2023 S2, 10 May 2023 S2, 20 Apr 2025 S1, 21 Apr 2025 S2, 25 Apr 2025 S1, 11 Apr 2026 S2, 15 Apr 2026 S1, 16 Apr 2026 S2, 18 Apr 2026 S2. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
May 2021 S1
39The temperature of a liquid drops from 365 K to 361 K in 2 min. Find the time during which temperature of the liquid drops from 344 K to 342 K. (Take, room temperature = 293 K)Tap an option to check your answer.
Question 2
9 May 2023 S2
40The temperature of a liquid falls from 365 K to 359 K in 3 minutes. The time during which temperature of this liquid falls from 342 K to 338 K is [Let the room temperature be 296 K]Tap an option to check your answer.
Question 3
10 May 2023 S2
42An ordinary body cools from '' to '' in 't' minutes. The temperature of that body after next 't' minutes is (Assume Newton's law of cooling and room temperature is )Tap an option to check your answer.
Question 4
20 Apr 2025 S1
19A body cools from to in 6 minutes. After next 6 minutes its temperature will be (Temperature of the surroundings is )Tap an option to check your answer.
Question 5
21 Apr 2025 S2
20Hot water cools from to in 1 minutes. In cooling from to it will take (room temperature )Tap an option to check your answer.
Question 6
25 Apr 2025 S1
26A body cools from to in 5 min. In the next time of ' ' in, the body continues to cool from to . The total time taken by the body to cool from to is [The temperature of the surroundings is .]Tap an option to check your answer.
Question 7
11 Apr 2026 S2
112A body cools in minutes from C to C. What time (in minutes) does it take to cool from C to C, if its surrounding temperature is C ? (Newton's law of cooling holds good)Tap an option to check your answer.
Question 8
15 Apr 2026 S1
112An ordinary body cools from to in 't' minutes. The temperature of the body after next 't' minutes is (Assume Newton's law of cooling and room temperature as )Tap an option to check your answer.
Question 9
16 Apr 2026 S2
112A bowl filled with very hot water cools from to in 2 minutes when the room temperature is . How long it will take to cool from to ?Tap an option to check your answer.
Question 10
18 Apr 2026 S2
113A body cools from a temperature to in 10 minute. The room temperature is . The temperature of the body at the end of the next 10 minute is ''. Assuming that Newton's law of cooling is applicable, the value of '' will beTap an option to check your answer.