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Question

Which of the following curves shows correct relation between convective resistance (R) and radius of hot sphere (r) being placed in a stream of cold air ?

A
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B
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C
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D
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Solution

The correct option is C
We know that, convective resistance, R=1hcA, where hc is convection
coefficient and A is surface area.
R 1A
R 1r2 ........(1) [ A=4πr2 ]
Relation (1) is identical to the relation of hyperbola, y 1x2. Thus, curve between convective resistance and radius of sphere is a hyperbola.
Option C is correct.

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