STANDARDPhysics-Thermal Properties of Matter

STANDARD Physics Thermal Conductivity MCQ Question

Type: MCQ-numerical-Medium-Class 11

One end of a 0.25 m long metal bar is in steam and the other is in contact with ice. If 12g of ice melts per minute, then the thermal conductivity of the metal is (Given cross section of the bar = 5 × 10⁻⁴ m² and latent heat of ice is 80 cal g⁻¹)

A

20 cal s⁻¹ m⁻¹ °C⁻¹

B

10 cal s⁻¹ m⁻¹ °C⁻¹

C

40 cal s⁻¹ m⁻¹ °C⁻¹

D

80 cal s⁻¹ m⁻¹ °C⁻¹

Correct Answer

Option D

Detailed Explanation

The heat conducted through the metal bar is used to melt the ice. Using the formula Q = mL and Q = kA(T₁ - T₂)t/L, we find that k = 80 cal s⁻¹ m⁻¹ °C⁻¹.

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