Thermal Expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366742 If a cylinder of diameter \(1.0\;cm\) at \(30^\circ C\) is to be slid into a hole of diameter \(0.9997\;cm\) in a steel plate present at the same temperature, the minimum required rise in the temperature of the plate is : (Coefficient of linear expansion of steel \(\left. { = 12 \times {{10}^{ - 6}}/^\circ C} \right)\)

1 \(25^\circ C\)
2 \(35^\circ C\)
3 \(45^\circ C\)
4 \(55^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366743 A metal rod of length \(L\), cross - sectional area \(A\), Young's modulus \(Y\) and coefficient of linear expansion \(\alpha\) is heated to \(t^\circ C\). The work that can be performed by the rod when heated is

1 \(\dfrac{Y A \alpha L t^{2}}{2}\)
2 \(\dfrac{Y A \alpha^{2} L t^{2}}{2}\)
3 \(\dfrac{Y A \alpha^{2} L^{2} t^{2}}{2}\)
4 \(\dfrac{Y A \alpha L t}{2}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366744 In a thermostat two metal strips are used, which have different

1 Length
2 Area of cross-section
3 Mass
4 Coefficient of linear expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366745 When the temperature of a rod increases from to \(t+\Delta t\), its moment of intertia increases from \(I\) to \(I+\Delta I\). If \(\alpha\) be the coefficient of linear expansion of the rod, then the value of \(\dfrac{\Delta I}{I}\) is

1 \(\alpha \Delta t\)
2 \(2 \alpha \Delta t\)
3 \(\dfrac{\Delta t}{\alpha}\)
4 \(\dfrac{\alpha \Delta t}{2}\)
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PHXI11:THERMAL PROPERTIES OF MATTER

366742 If a cylinder of diameter \(1.0\;cm\) at \(30^\circ C\) is to be slid into a hole of diameter \(0.9997\;cm\) in a steel plate present at the same temperature, the minimum required rise in the temperature of the plate is : (Coefficient of linear expansion of steel \(\left. { = 12 \times {{10}^{ - 6}}/^\circ C} \right)\)

1 \(25^\circ C\)
2 \(35^\circ C\)
3 \(45^\circ C\)
4 \(55^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366743 A metal rod of length \(L\), cross - sectional area \(A\), Young's modulus \(Y\) and coefficient of linear expansion \(\alpha\) is heated to \(t^\circ C\). The work that can be performed by the rod when heated is

1 \(\dfrac{Y A \alpha L t^{2}}{2}\)
2 \(\dfrac{Y A \alpha^{2} L t^{2}}{2}\)
3 \(\dfrac{Y A \alpha^{2} L^{2} t^{2}}{2}\)
4 \(\dfrac{Y A \alpha L t}{2}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366744 In a thermostat two metal strips are used, which have different

1 Length
2 Area of cross-section
3 Mass
4 Coefficient of linear expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366745 When the temperature of a rod increases from to \(t+\Delta t\), its moment of intertia increases from \(I\) to \(I+\Delta I\). If \(\alpha\) be the coefficient of linear expansion of the rod, then the value of \(\dfrac{\Delta I}{I}\) is

1 \(\alpha \Delta t\)
2 \(2 \alpha \Delta t\)
3 \(\dfrac{\Delta t}{\alpha}\)
4 \(\dfrac{\alpha \Delta t}{2}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366742 If a cylinder of diameter \(1.0\;cm\) at \(30^\circ C\) is to be slid into a hole of diameter \(0.9997\;cm\) in a steel plate present at the same temperature, the minimum required rise in the temperature of the plate is : (Coefficient of linear expansion of steel \(\left. { = 12 \times {{10}^{ - 6}}/^\circ C} \right)\)

1 \(25^\circ C\)
2 \(35^\circ C\)
3 \(45^\circ C\)
4 \(55^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366743 A metal rod of length \(L\), cross - sectional area \(A\), Young's modulus \(Y\) and coefficient of linear expansion \(\alpha\) is heated to \(t^\circ C\). The work that can be performed by the rod when heated is

1 \(\dfrac{Y A \alpha L t^{2}}{2}\)
2 \(\dfrac{Y A \alpha^{2} L t^{2}}{2}\)
3 \(\dfrac{Y A \alpha^{2} L^{2} t^{2}}{2}\)
4 \(\dfrac{Y A \alpha L t}{2}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366744 In a thermostat two metal strips are used, which have different

1 Length
2 Area of cross-section
3 Mass
4 Coefficient of linear expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366745 When the temperature of a rod increases from to \(t+\Delta t\), its moment of intertia increases from \(I\) to \(I+\Delta I\). If \(\alpha\) be the coefficient of linear expansion of the rod, then the value of \(\dfrac{\Delta I}{I}\) is

1 \(\alpha \Delta t\)
2 \(2 \alpha \Delta t\)
3 \(\dfrac{\Delta t}{\alpha}\)
4 \(\dfrac{\alpha \Delta t}{2}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366742 If a cylinder of diameter \(1.0\;cm\) at \(30^\circ C\) is to be slid into a hole of diameter \(0.9997\;cm\) in a steel plate present at the same temperature, the minimum required rise in the temperature of the plate is : (Coefficient of linear expansion of steel \(\left. { = 12 \times {{10}^{ - 6}}/^\circ C} \right)\)

1 \(25^\circ C\)
2 \(35^\circ C\)
3 \(45^\circ C\)
4 \(55^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366743 A metal rod of length \(L\), cross - sectional area \(A\), Young's modulus \(Y\) and coefficient of linear expansion \(\alpha\) is heated to \(t^\circ C\). The work that can be performed by the rod when heated is

1 \(\dfrac{Y A \alpha L t^{2}}{2}\)
2 \(\dfrac{Y A \alpha^{2} L t^{2}}{2}\)
3 \(\dfrac{Y A \alpha^{2} L^{2} t^{2}}{2}\)
4 \(\dfrac{Y A \alpha L t}{2}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366744 In a thermostat two metal strips are used, which have different

1 Length
2 Area of cross-section
3 Mass
4 Coefficient of linear expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366745 When the temperature of a rod increases from to \(t+\Delta t\), its moment of intertia increases from \(I\) to \(I+\Delta I\). If \(\alpha\) be the coefficient of linear expansion of the rod, then the value of \(\dfrac{\Delta I}{I}\) is

1 \(\alpha \Delta t\)
2 \(2 \alpha \Delta t\)
3 \(\dfrac{\Delta t}{\alpha}\)
4 \(\dfrac{\alpha \Delta t}{2}\)