A body takes 4   min to cool from 61 ° C to 59 ° C . If the temperature of the surroundings…

A body takes 4 min to cool from 61°C to 59°C. If the temperature of the surroundings is 30°C, the time taken by the body to cool from 51°C to 49°C is:
  1. 4 min.
  2. 3 min.
  3. 8 min.
  4. 6 min.

Solution

ΔTΔt=KTt-TS Tt= average temperature

TS= surrounding temperature

61-594=K61+592-30  ...(i)

51-49t=K51+492-30  ...ii

Divide (1) and (2)

t4=60-3050-30=3020

So, t=6 min

Asked in: JEE Main 2021 (27 Jul Shift 1)

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