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Conduction

The coefficie...

Question

The coefficient of thermal conductivity of copper, mercury and glass are respectively $K_{c}, K_{m}$ and $K_{g}$ such that $K_{c} > K_{m} > K_{g}$ . If the same quantity of heat is to flow per sec per unit area of each and corresponding temperature gradients are $X_{c}, X_{m}$ and $X_{g}$ then

A

X_{c} = X_{m} = X_{g}

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B

X_{c} > X_{m} > X_{g}

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C

X_{c} < X_{m} < X_{g}

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D

X_{m} < X_{c} < X_{g}

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Solution

The correct option is C $X_{c} < X_{m} < X_{g}$
From the basis law of conduction which is fourier's law we know that $Q = - K A (\frac{d T}{d x})$
where $\frac{d T}{d x} = t e m p e r a t u r e g r a d i e n t$
so $K$ is inversely proportional to temperature gradient.
hence $K_{m e t a l} > K_{l i q u i d} > K_{g a s}$
$X_{m e t a l} < X_{l i q u i d} < X_{g a s}$ or $X_{c o p p e r} < X_{m e r c u r y} < X_{g l a s s}$
ceramics material have greater conductivity as compare to gas.

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Similar questions

Q. The coefficient of thermal conductivity of copper, mercury and glass are respectively

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x^{m}

x^{n}

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and find their sum, if

A = \frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{c - b} + x^{a - b}} + \frac{1}{1 + x^{a - c} + x^{b - c}}

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