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Question

A spherical body of radius b=4π m has a concentric cavity of radius a=2π m as shown. Thermal conductivity of the material is 100 W/mC. Find the thermal resistance between inner and outer surface.


Correct Answer
A
6.25×104C/W
Your Answer
B
1.25×104C/W
Your Answer
C
6.5×104C/W
Your Answer
D
3.75×104C/W

Solution

The correct option is A 6.25×104C/W
Given,
Outer radius of spherical body (b)=4π m
Inner radius of spherical body (a)=2π m 
Thermal conductivity of material (k)=100 W/mC
Then, thermal resistance (R)=14πk(1a1b)
=14π×100(π2π4)  
=11600=  6.25×104C/W

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