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Standard IX

Physics

Conduction Law

One end of a ...

Question

One end of a copper rod of length 1.0 m and area of cross-section $10^{- 3}$ is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is $92 c a l / m - s -^{\circ} C$ and the latent heat of ice is $8 \times 10^{4} c a l / k g$ , then the amount of ice which will melt in one minute is

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Solution

The correct option is C
Heat transferred in one minute is utilised in melting the ice so, $\frac{K A (θ_{1} - θ_{2}) t}{l} = m \times L$
$\Rightarrow m = \frac{10^{- 3} \times 92 \times (100 - 0) \times 60}{1 \times 8 \times 10^{4}} = 6.9 \times 10^{- 3} k g$

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The correct option is C Heat transferred in one minute is utilised in melting the ice so, KA(θ1−θ2)tl=m×L ⇒m=10−3×92×(100−0)×601×8×104=6.9×10−3kg

The correct option is C
Heat transferred in one minute is utilised in melting the ice so, $\frac{K A (θ_{1} - θ_{2}) t}{l} = m \times L$
$\Rightarrow m = \frac{10^{- 3} \times 92 \times (100 - 0) \times 60}{1 \times 8 \times 10^{4}} = 6.9 \times 10^{- 3} k g$