Thermal Expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366768 A steel rod of length \(50\;cm\) has a cross-sectional area of \(0.4\;c{m^2}\). What force would be required to stretch this rod by the same amount as the expansion produced by heating it through \(10^\circ C\). \(\left( {\alpha = {{10}^{ - 5}}\;{K^{ - 1}}} \right.\) and \(\left. {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(600\;N\)
2 \(800\;N\)
3 \(500\;N\)
4 \(400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366769 A \(Cu\) rod and a steel rod maintain a difference in their lengths constant at all temperatures. If their coefficients of expansion are \(1.6 \times {10^{ - 5}}\;{K^{ - 1}}\) and \(1.2 \times {10^{ - 5}}\;{K^{ - 1}}.\) If the length of steel \(\operatorname{rod}\) is \(10\;cm\) then the length of the \(Cu\) rod is

1 \(10\;cm\)
2 \(7.5\;cm\)
3 \(22\;cm\)
4 \(14\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366770 The coefficient of linear expansion of an in homogeneous rod changes linearly from \(\alpha_{1}\) to \(\alpha_{2}\) from one end to the other end of the rod. The effective coefficient of linear expansion of rod is

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

366771 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because

1 Density of brass is more than that of iron
2 Brass has a higher specific heat capacity than iron
3 Brass has a higher coefficient of linear expansion than iron
4 It is easier to bend an iron strip than a brass strip of the same size
PHXI11:THERMAL PROPERTIES OF MATTER

366768 A steel rod of length \(50\;cm\) has a cross-sectional area of \(0.4\;c{m^2}\). What force would be required to stretch this rod by the same amount as the expansion produced by heating it through \(10^\circ C\). \(\left( {\alpha = {{10}^{ - 5}}\;{K^{ - 1}}} \right.\) and \(\left. {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(600\;N\)
2 \(800\;N\)
3 \(500\;N\)
4 \(400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366769 A \(Cu\) rod and a steel rod maintain a difference in their lengths constant at all temperatures. If their coefficients of expansion are \(1.6 \times {10^{ - 5}}\;{K^{ - 1}}\) and \(1.2 \times {10^{ - 5}}\;{K^{ - 1}}.\) If the length of steel \(\operatorname{rod}\) is \(10\;cm\) then the length of the \(Cu\) rod is

1 \(10\;cm\)
2 \(7.5\;cm\)
3 \(22\;cm\)
4 \(14\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366770 The coefficient of linear expansion of an in homogeneous rod changes linearly from \(\alpha_{1}\) to \(\alpha_{2}\) from one end to the other end of the rod. The effective coefficient of linear expansion of rod is

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

366771 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because

1 Density of brass is more than that of iron
2 Brass has a higher specific heat capacity than iron
3 Brass has a higher coefficient of linear expansion than iron
4 It is easier to bend an iron strip than a brass strip of the same size
PHXI11:THERMAL PROPERTIES OF MATTER

366768 A steel rod of length \(50\;cm\) has a cross-sectional area of \(0.4\;c{m^2}\). What force would be required to stretch this rod by the same amount as the expansion produced by heating it through \(10^\circ C\). \(\left( {\alpha = {{10}^{ - 5}}\;{K^{ - 1}}} \right.\) and \(\left. {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(600\;N\)
2 \(800\;N\)
3 \(500\;N\)
4 \(400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366769 A \(Cu\) rod and a steel rod maintain a difference in their lengths constant at all temperatures. If their coefficients of expansion are \(1.6 \times {10^{ - 5}}\;{K^{ - 1}}\) and \(1.2 \times {10^{ - 5}}\;{K^{ - 1}}.\) If the length of steel \(\operatorname{rod}\) is \(10\;cm\) then the length of the \(Cu\) rod is

1 \(10\;cm\)
2 \(7.5\;cm\)
3 \(22\;cm\)
4 \(14\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366770 The coefficient of linear expansion of an in homogeneous rod changes linearly from \(\alpha_{1}\) to \(\alpha_{2}\) from one end to the other end of the rod. The effective coefficient of linear expansion of rod is

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

366771 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because

1 Density of brass is more than that of iron
2 Brass has a higher specific heat capacity than iron
3 Brass has a higher coefficient of linear expansion than iron
4 It is easier to bend an iron strip than a brass strip of the same size
PHXI11:THERMAL PROPERTIES OF MATTER

366768 A steel rod of length \(50\;cm\) has a cross-sectional area of \(0.4\;c{m^2}\). What force would be required to stretch this rod by the same amount as the expansion produced by heating it through \(10^\circ C\). \(\left( {\alpha = {{10}^{ - 5}}\;{K^{ - 1}}} \right.\) and \(\left. {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(600\;N\)
2 \(800\;N\)
3 \(500\;N\)
4 \(400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366769 A \(Cu\) rod and a steel rod maintain a difference in their lengths constant at all temperatures. If their coefficients of expansion are \(1.6 \times {10^{ - 5}}\;{K^{ - 1}}\) and \(1.2 \times {10^{ - 5}}\;{K^{ - 1}}.\) If the length of steel \(\operatorname{rod}\) is \(10\;cm\) then the length of the \(Cu\) rod is

1 \(10\;cm\)
2 \(7.5\;cm\)
3 \(22\;cm\)
4 \(14\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366770 The coefficient of linear expansion of an in homogeneous rod changes linearly from \(\alpha_{1}\) to \(\alpha_{2}\) from one end to the other end of the rod. The effective coefficient of linear expansion of rod is

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

366771 A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because

1 Density of brass is more than that of iron
2 Brass has a higher specific heat capacity than iron
3 Brass has a higher coefficient of linear expansion than iron
4 It is easier to bend an iron strip than a brass strip of the same size