wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A body cools from a temperature 3T to 2T in 10 minutes. The room temperature is T. Assume that Newton's law of cooling is applicable, the temperature of the body at the end of next 10 minutes will be

A
43 T
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
T
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
74 T
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
32 T
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 32 T
By using Newton's law of cooling,
T1T2t=k(TavgTs)

Case 1:
In 10 minutes it cools from 3T to 2T
3T2T10=k((3T+2T2)T)
T10=k3T2
k=115

Case 2:
In next 10 minutes it cools from 2T to some temperature T
2TT10=k((2T+T2)T)
2TT10=115T2
6T3T=T
T=3T2

flag
Suggest Corrections
thumbs-up
150
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The First Law of Thermodynamics
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon