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Standard XII

Physics

Dimensional Analysis

Thermal condu...

Question

Thermal conductivity of a material in CGS system is 0.4. In steady state, the rate of flow of heat is $10 c a l / s - c m^{2}$ . The thermal gradient will be :

5^{o} C / c m

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15^{o} C / c m

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25^{o} C / c m

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50^{o} C / c m

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Solution

The correct option is C $25^{o} C / c m$
$\frac{Δ Q}{Δ t} = K A \frac{Δ θ}{Δ x}$
thermal gradient $= \frac{(\frac{Δ Q}{Δ t})}{K A} = \frac{10}{0.4} 25^{o} C / c m$

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Thermal conductivity of a material in CGS system is 0.4. In steady state, the rate of flow of heat is 10cal/s−cm2. The thermal gradient will be :

The correct option is C 25oC/cmΔQΔt=KAΔθΔxthermal gradient =(ΔQΔt)KA=100.425oC/cm

Thermal conductivity of a material in CGS system is 0.4. In steady state, the rate of flow of heat is $10 c a l / s - c m^{2}$ . The thermal gradient will be :

The correct option is C $25^{o} C / c m$
$\frac{Δ Q}{Δ t} = K A \frac{Δ θ}{Δ x}$
thermal gradient $= \frac{(\frac{Δ Q}{Δ t})}{K A} = \frac{10}{0.4} 25^{o} C / c m$