Heat Transfer
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PHXI11:THERMAL PROPERTIES OF MATTER

366411 Consider a compound slab consisting of two different material having equal thickness and thermal conductivities \(K\) and \(2K\) respectively. The equivalent thermal conductivity of the slab is

1 \(3K\)
2 \(\dfrac{4}{3} K\)
3 \(\sqrt{2 K}\)
4 \(\dfrac{2}{3} K\)
PHXI11:THERMAL PROPERTIES OF MATTER

366412 A cylinder of radius \(r\) and of thermal conductivity \(K_{1}\) is surrounded by a cylindrical shell of inner radius \(r\) and outer radius \(2 r\) made of a material of thermal conductivity \(K_{2}\). The effective thermal conductivity of the system is

1 \(\dfrac{1}{3}\left(K_{1}+2 K_{2}\right)\)
2 \(\dfrac{1}{2}\left(2 K_{1}+3 K_{2}\right)\)
3 \(\dfrac{1}{3}\left(3 K_{2}+2 K_{1}\right)\)
4 \(\dfrac{1}{4}\left(K_{1}+3 K_{2}\right)\)
PHXI11:THERMAL PROPERTIES OF MATTER

366413 The ratio of the coefficient of thermal conductivity of two different materials is \(5: 3\). If the thermal resistance of the two rods of these materials of same length is same, then the ratio of the area of these rods will be

1 \(5: 3\)
2 \(3: 5\)
3 \(9: 25\)
4 \(25: 9\)
PHXI11:THERMAL PROPERTIES OF MATTER

366414 Assertion :
Greater the coefficient of thermal conductivity of a material, smaller is the thermal resistance of a rod of that material.
Reason :
Thermal resistance is the ratio of temperature difference between the ends of the conductor and rate of flow of heat.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366411 Consider a compound slab consisting of two different material having equal thickness and thermal conductivities \(K\) and \(2K\) respectively. The equivalent thermal conductivity of the slab is

1 \(3K\)
2 \(\dfrac{4}{3} K\)
3 \(\sqrt{2 K}\)
4 \(\dfrac{2}{3} K\)
PHXI11:THERMAL PROPERTIES OF MATTER

366412 A cylinder of radius \(r\) and of thermal conductivity \(K_{1}\) is surrounded by a cylindrical shell of inner radius \(r\) and outer radius \(2 r\) made of a material of thermal conductivity \(K_{2}\). The effective thermal conductivity of the system is

1 \(\dfrac{1}{3}\left(K_{1}+2 K_{2}\right)\)
2 \(\dfrac{1}{2}\left(2 K_{1}+3 K_{2}\right)\)
3 \(\dfrac{1}{3}\left(3 K_{2}+2 K_{1}\right)\)
4 \(\dfrac{1}{4}\left(K_{1}+3 K_{2}\right)\)
PHXI11:THERMAL PROPERTIES OF MATTER

366413 The ratio of the coefficient of thermal conductivity of two different materials is \(5: 3\). If the thermal resistance of the two rods of these materials of same length is same, then the ratio of the area of these rods will be

1 \(5: 3\)
2 \(3: 5\)
3 \(9: 25\)
4 \(25: 9\)
PHXI11:THERMAL PROPERTIES OF MATTER

366414 Assertion :
Greater the coefficient of thermal conductivity of a material, smaller is the thermal resistance of a rod of that material.
Reason :
Thermal resistance is the ratio of temperature difference between the ends of the conductor and rate of flow of heat.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366411 Consider a compound slab consisting of two different material having equal thickness and thermal conductivities \(K\) and \(2K\) respectively. The equivalent thermal conductivity of the slab is

1 \(3K\)
2 \(\dfrac{4}{3} K\)
3 \(\sqrt{2 K}\)
4 \(\dfrac{2}{3} K\)
PHXI11:THERMAL PROPERTIES OF MATTER

366412 A cylinder of radius \(r\) and of thermal conductivity \(K_{1}\) is surrounded by a cylindrical shell of inner radius \(r\) and outer radius \(2 r\) made of a material of thermal conductivity \(K_{2}\). The effective thermal conductivity of the system is

1 \(\dfrac{1}{3}\left(K_{1}+2 K_{2}\right)\)
2 \(\dfrac{1}{2}\left(2 K_{1}+3 K_{2}\right)\)
3 \(\dfrac{1}{3}\left(3 K_{2}+2 K_{1}\right)\)
4 \(\dfrac{1}{4}\left(K_{1}+3 K_{2}\right)\)
PHXI11:THERMAL PROPERTIES OF MATTER

366413 The ratio of the coefficient of thermal conductivity of two different materials is \(5: 3\). If the thermal resistance of the two rods of these materials of same length is same, then the ratio of the area of these rods will be

1 \(5: 3\)
2 \(3: 5\)
3 \(9: 25\)
4 \(25: 9\)
PHXI11:THERMAL PROPERTIES OF MATTER

366414 Assertion :
Greater the coefficient of thermal conductivity of a material, smaller is the thermal resistance of a rod of that material.
Reason :
Thermal resistance is the ratio of temperature difference between the ends of the conductor and rate of flow of heat.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366411 Consider a compound slab consisting of two different material having equal thickness and thermal conductivities \(K\) and \(2K\) respectively. The equivalent thermal conductivity of the slab is

1 \(3K\)
2 \(\dfrac{4}{3} K\)
3 \(\sqrt{2 K}\)
4 \(\dfrac{2}{3} K\)
PHXI11:THERMAL PROPERTIES OF MATTER

366412 A cylinder of radius \(r\) and of thermal conductivity \(K_{1}\) is surrounded by a cylindrical shell of inner radius \(r\) and outer radius \(2 r\) made of a material of thermal conductivity \(K_{2}\). The effective thermal conductivity of the system is

1 \(\dfrac{1}{3}\left(K_{1}+2 K_{2}\right)\)
2 \(\dfrac{1}{2}\left(2 K_{1}+3 K_{2}\right)\)
3 \(\dfrac{1}{3}\left(3 K_{2}+2 K_{1}\right)\)
4 \(\dfrac{1}{4}\left(K_{1}+3 K_{2}\right)\)
PHXI11:THERMAL PROPERTIES OF MATTER

366413 The ratio of the coefficient of thermal conductivity of two different materials is \(5: 3\). If the thermal resistance of the two rods of these materials of same length is same, then the ratio of the area of these rods will be

1 \(5: 3\)
2 \(3: 5\)
3 \(9: 25\)
4 \(25: 9\)
PHXI11:THERMAL PROPERTIES OF MATTER

366414 Assertion :
Greater the coefficient of thermal conductivity of a material, smaller is the thermal resistance of a rod of that material.
Reason :
Thermal resistance is the ratio of temperature difference between the ends of the conductor and rate of flow of heat.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.