Heat Transfer
PHXI11:THERMAL PROPERTIES OF MATTER

366406 Two identical metal plates are welded end to end as shown in Fig. (i). \(20\,cal\) of heat flows through it in 4 minutes. If the plates are welded as shown in Fig. (ii), find the time (in minutes) taken by the same amount of heat to flow through the plates.
supporting img

1 2
2 4
3 1
4 6
PHXI11:THERMAL PROPERTIES OF MATTER

366407 The ratio of thermal conductivity of two rods of different material is \(5: 4\). The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio.

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

366408 A wall is made of equally thick layers \(A\) and \(B\) of different materials. Thermal conductivity of \(A\) is twice to that of \(B\). In the steady state, the temperature difference across the wall is \(36^\circ C\). The temperature difference across the layer \(A\) is:

1 \(12^\circ C\)
2 \(18^\circ C\)
3 \(6^\circ C\)
4 \(24^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366409 Three identical rods \(AB\) and \(C\) are placed end to end. A temperature difference is maintained between the free ends of \(A\) and \(C\). The thermal conductivity of \(B\) is thrice that of \(C\) and half of that of A. The effective thermal conductivity of thesystem will be \(\left( {{K_A}} \right.\) is the thermal conductivity of rod 1)

1 \(\dfrac{1}{3} K_{A}\)
2 \(3 \mathrm{~K}_{\mathrm{A}}\)
3 \(2 \mathrm{~K}_{\mathrm{A}}\)
4 \(\dfrac{2}{3} K_{A}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366410 Two metal cubes with \(3\;cm\)-edges of copper and aluminium are arranged as shown in figure.
Thermal conductivity of copper is \(401\;W{\rm{/}}m{\rm{ - }}K\) and that of aluminium is \(237\;W{\rm{/}}m{\rm{ - }}K\). Find the total thermal current from one reservoir to the other.
supporting img

1 \(0.16\;kW\)
2 \(1.5\;kW\)
3 \(0.74\;kW\)
4 \(0.94\;kW\)
PHXI11:THERMAL PROPERTIES OF MATTER

366406 Two identical metal plates are welded end to end as shown in Fig. (i). \(20\,cal\) of heat flows through it in 4 minutes. If the plates are welded as shown in Fig. (ii), find the time (in minutes) taken by the same amount of heat to flow through the plates.
supporting img

1 2
2 4
3 1
4 6
PHXI11:THERMAL PROPERTIES OF MATTER

366407 The ratio of thermal conductivity of two rods of different material is \(5: 4\). The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio.

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

366408 A wall is made of equally thick layers \(A\) and \(B\) of different materials. Thermal conductivity of \(A\) is twice to that of \(B\). In the steady state, the temperature difference across the wall is \(36^\circ C\). The temperature difference across the layer \(A\) is:

1 \(12^\circ C\)
2 \(18^\circ C\)
3 \(6^\circ C\)
4 \(24^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366409 Three identical rods \(AB\) and \(C\) are placed end to end. A temperature difference is maintained between the free ends of \(A\) and \(C\). The thermal conductivity of \(B\) is thrice that of \(C\) and half of that of A. The effective thermal conductivity of thesystem will be \(\left( {{K_A}} \right.\) is the thermal conductivity of rod 1)

1 \(\dfrac{1}{3} K_{A}\)
2 \(3 \mathrm{~K}_{\mathrm{A}}\)
3 \(2 \mathrm{~K}_{\mathrm{A}}\)
4 \(\dfrac{2}{3} K_{A}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366410 Two metal cubes with \(3\;cm\)-edges of copper and aluminium are arranged as shown in figure.
Thermal conductivity of copper is \(401\;W{\rm{/}}m{\rm{ - }}K\) and that of aluminium is \(237\;W{\rm{/}}m{\rm{ - }}K\). Find the total thermal current from one reservoir to the other.
supporting img

1 \(0.16\;kW\)
2 \(1.5\;kW\)
3 \(0.74\;kW\)
4 \(0.94\;kW\)
PHXI11:THERMAL PROPERTIES OF MATTER

366406 Two identical metal plates are welded end to end as shown in Fig. (i). \(20\,cal\) of heat flows through it in 4 minutes. If the plates are welded as shown in Fig. (ii), find the time (in minutes) taken by the same amount of heat to flow through the plates.
supporting img

1 2
2 4
3 1
4 6
PHXI11:THERMAL PROPERTIES OF MATTER

366407 The ratio of thermal conductivity of two rods of different material is \(5: 4\). The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio.

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

366408 A wall is made of equally thick layers \(A\) and \(B\) of different materials. Thermal conductivity of \(A\) is twice to that of \(B\). In the steady state, the temperature difference across the wall is \(36^\circ C\). The temperature difference across the layer \(A\) is:

1 \(12^\circ C\)
2 \(18^\circ C\)
3 \(6^\circ C\)
4 \(24^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366409 Three identical rods \(AB\) and \(C\) are placed end to end. A temperature difference is maintained between the free ends of \(A\) and \(C\). The thermal conductivity of \(B\) is thrice that of \(C\) and half of that of A. The effective thermal conductivity of thesystem will be \(\left( {{K_A}} \right.\) is the thermal conductivity of rod 1)

1 \(\dfrac{1}{3} K_{A}\)
2 \(3 \mathrm{~K}_{\mathrm{A}}\)
3 \(2 \mathrm{~K}_{\mathrm{A}}\)
4 \(\dfrac{2}{3} K_{A}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366410 Two metal cubes with \(3\;cm\)-edges of copper and aluminium are arranged as shown in figure.
Thermal conductivity of copper is \(401\;W{\rm{/}}m{\rm{ - }}K\) and that of aluminium is \(237\;W{\rm{/}}m{\rm{ - }}K\). Find the total thermal current from one reservoir to the other.
supporting img

1 \(0.16\;kW\)
2 \(1.5\;kW\)
3 \(0.74\;kW\)
4 \(0.94\;kW\)
PHXI11:THERMAL PROPERTIES OF MATTER

366406 Two identical metal plates are welded end to end as shown in Fig. (i). \(20\,cal\) of heat flows through it in 4 minutes. If the plates are welded as shown in Fig. (ii), find the time (in minutes) taken by the same amount of heat to flow through the plates.
supporting img

1 2
2 4
3 1
4 6
PHXI11:THERMAL PROPERTIES OF MATTER

366407 The ratio of thermal conductivity of two rods of different material is \(5: 4\). The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio.

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

366408 A wall is made of equally thick layers \(A\) and \(B\) of different materials. Thermal conductivity of \(A\) is twice to that of \(B\). In the steady state, the temperature difference across the wall is \(36^\circ C\). The temperature difference across the layer \(A\) is:

1 \(12^\circ C\)
2 \(18^\circ C\)
3 \(6^\circ C\)
4 \(24^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366409 Three identical rods \(AB\) and \(C\) are placed end to end. A temperature difference is maintained between the free ends of \(A\) and \(C\). The thermal conductivity of \(B\) is thrice that of \(C\) and half of that of A. The effective thermal conductivity of thesystem will be \(\left( {{K_A}} \right.\) is the thermal conductivity of rod 1)

1 \(\dfrac{1}{3} K_{A}\)
2 \(3 \mathrm{~K}_{\mathrm{A}}\)
3 \(2 \mathrm{~K}_{\mathrm{A}}\)
4 \(\dfrac{2}{3} K_{A}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366410 Two metal cubes with \(3\;cm\)-edges of copper and aluminium are arranged as shown in figure.
Thermal conductivity of copper is \(401\;W{\rm{/}}m{\rm{ - }}K\) and that of aluminium is \(237\;W{\rm{/}}m{\rm{ - }}K\). Find the total thermal current from one reservoir to the other.
supporting img

1 \(0.16\;kW\)
2 \(1.5\;kW\)
3 \(0.74\;kW\)
4 \(0.94\;kW\)
PHXI11:THERMAL PROPERTIES OF MATTER

366406 Two identical metal plates are welded end to end as shown in Fig. (i). \(20\,cal\) of heat flows through it in 4 minutes. If the plates are welded as shown in Fig. (ii), find the time (in minutes) taken by the same amount of heat to flow through the plates.
supporting img

1 2
2 4
3 1
4 6
PHXI11:THERMAL PROPERTIES OF MATTER

366407 The ratio of thermal conductivity of two rods of different material is \(5: 4\). The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio.

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

366408 A wall is made of equally thick layers \(A\) and \(B\) of different materials. Thermal conductivity of \(A\) is twice to that of \(B\). In the steady state, the temperature difference across the wall is \(36^\circ C\). The temperature difference across the layer \(A\) is:

1 \(12^\circ C\)
2 \(18^\circ C\)
3 \(6^\circ C\)
4 \(24^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366409 Three identical rods \(AB\) and \(C\) are placed end to end. A temperature difference is maintained between the free ends of \(A\) and \(C\). The thermal conductivity of \(B\) is thrice that of \(C\) and half of that of A. The effective thermal conductivity of thesystem will be \(\left( {{K_A}} \right.\) is the thermal conductivity of rod 1)

1 \(\dfrac{1}{3} K_{A}\)
2 \(3 \mathrm{~K}_{\mathrm{A}}\)
3 \(2 \mathrm{~K}_{\mathrm{A}}\)
4 \(\dfrac{2}{3} K_{A}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366410 Two metal cubes with \(3\;cm\)-edges of copper and aluminium are arranged as shown in figure.
Thermal conductivity of copper is \(401\;W{\rm{/}}m{\rm{ - }}K\) and that of aluminium is \(237\;W{\rm{/}}m{\rm{ - }}K\). Find the total thermal current from one reservoir to the other.
supporting img

1 \(0.16\;kW\)
2 \(1.5\;kW\)
3 \(0.74\;kW\)
4 \(0.94\;kW\)