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A conducting rod of length 1 ~m has area of cross-section 10⁻³ ~m ^2 . One end is immersed in boiling water (100^ C ) and the other end in Ice (0^ C ) . If coefficient of thermal conductivity of rod is 96 cal / s . m ^ C and latent heat for ice is 8 10^4 cal / kg then the amount of ice which will melt in one minute is

Options

  1. A5.4 10⁻³ ~kg
  2. B7.2 10⁻³ ~kg
  3. C1.8 10⁻³ ~kg
  4. D3.6 10⁻³ ~kg

Correct answer

B. 7.2 10⁻³ ~kg

Step-by-step solution

aligned & Q = KA ( ) t = mL & m = KA ( ) t L = 96 10⁻³ 100 60 1 8 10^4 & =7.2 10⁻³ ~kg aligned

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