Transmission Of Heat Question 184

Question: Hot water kept in a beaker placed in a room cools from $ 70^{o}C $ to 60°C in 4 minutes. The time taken by it to cool from $ 69^{o}C $ to $ 59^{o}c $ will be

[JIPMER 1999]

Options:

A) The same 4 minutes

B) More than 4 minutes

C) Less than 4 minutes

D) We cannot say definitely

Show Answer

Answer:

Correct Answer: B

Solution:

Rate of cooling $ =\frac{-d\theta }{dt}\propto ( \frac{{\theta _{1}}+{\theta _{2}}}{2}-{\theta _{0}} ) $ In second case average temperature will be less hence rate of cooling will be less.

Therefore time taken will be more than 4 minutes.



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें