Thermal Expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366751 Statement A :
Copper expands more than glass for same rise in temperature.
Statement B :
Copper is far better conductor of heat than glass.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI11:THERMAL PROPERTIES OF MATTER

366752 If two rods of length \(L\) and \(2\;L\) having coefficient of linear expansion \(\alpha\) and \(2 \alpha\) respectively are connected so that total length becomes \(3\;L\), the average coefficient of linear expansion of the composition rod equals:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{5}{2} \alpha\)
3 \(\dfrac{5}{3} \alpha\)
4 None of these
PHXI11:THERMAL PROPERTIES OF MATTER

366753 A copper and a tungsten plate having a thickness \(d\) each are riveted together so that at \(0^\circ C\) they form a flat bimetallic plate. Find the average radius of the curvature of this plate at temperature T. The coefficient of linear expansion for Copper and tungsten are \(\alpha_{C u}\) and \(\alpha_{t}\).

1 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
2 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
3 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
4 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366754 As a result of a temperature rise of \(32^\circ C\), a bar with a crack at its centre buckles upward as shown in the figure. If the fixed distance is \({L_0} = 3.77\;m\) and the coefficient of linear expansion is \(25 \times {10^{ - 6}}/^\circ C\), find \(x\), the distance to which the centre rises.
supporting img

1 \(6.0\;cm\;\)
2 \(3.5\;cm\;\)
3 \(4\;cm\;\)
4 \(7.5\;cm\;\)
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PHXI11:THERMAL PROPERTIES OF MATTER

366751 Statement A :
Copper expands more than glass for same rise in temperature.
Statement B :
Copper is far better conductor of heat than glass.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI11:THERMAL PROPERTIES OF MATTER

366752 If two rods of length \(L\) and \(2\;L\) having coefficient of linear expansion \(\alpha\) and \(2 \alpha\) respectively are connected so that total length becomes \(3\;L\), the average coefficient of linear expansion of the composition rod equals:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{5}{2} \alpha\)
3 \(\dfrac{5}{3} \alpha\)
4 None of these
PHXI11:THERMAL PROPERTIES OF MATTER

366753 A copper and a tungsten plate having a thickness \(d\) each are riveted together so that at \(0^\circ C\) they form a flat bimetallic plate. Find the average radius of the curvature of this plate at temperature T. The coefficient of linear expansion for Copper and tungsten are \(\alpha_{C u}\) and \(\alpha_{t}\).

1 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
2 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
3 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
4 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366754 As a result of a temperature rise of \(32^\circ C\), a bar with a crack at its centre buckles upward as shown in the figure. If the fixed distance is \({L_0} = 3.77\;m\) and the coefficient of linear expansion is \(25 \times {10^{ - 6}}/^\circ C\), find \(x\), the distance to which the centre rises.
supporting img

1 \(6.0\;cm\;\)
2 \(3.5\;cm\;\)
3 \(4\;cm\;\)
4 \(7.5\;cm\;\)
PHXI11:THERMAL PROPERTIES OF MATTER

366751 Statement A :
Copper expands more than glass for same rise in temperature.
Statement B :
Copper is far better conductor of heat than glass.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI11:THERMAL PROPERTIES OF MATTER

366752 If two rods of length \(L\) and \(2\;L\) having coefficient of linear expansion \(\alpha\) and \(2 \alpha\) respectively are connected so that total length becomes \(3\;L\), the average coefficient of linear expansion of the composition rod equals:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{5}{2} \alpha\)
3 \(\dfrac{5}{3} \alpha\)
4 None of these
PHXI11:THERMAL PROPERTIES OF MATTER

366753 A copper and a tungsten plate having a thickness \(d\) each are riveted together so that at \(0^\circ C\) they form a flat bimetallic plate. Find the average radius of the curvature of this plate at temperature T. The coefficient of linear expansion for Copper and tungsten are \(\alpha_{C u}\) and \(\alpha_{t}\).

1 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
2 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
3 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
4 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366754 As a result of a temperature rise of \(32^\circ C\), a bar with a crack at its centre buckles upward as shown in the figure. If the fixed distance is \({L_0} = 3.77\;m\) and the coefficient of linear expansion is \(25 \times {10^{ - 6}}/^\circ C\), find \(x\), the distance to which the centre rises.
supporting img

1 \(6.0\;cm\;\)
2 \(3.5\;cm\;\)
3 \(4\;cm\;\)
4 \(7.5\;cm\;\)
PHXI11:THERMAL PROPERTIES OF MATTER

366751 Statement A :
Copper expands more than glass for same rise in temperature.
Statement B :
Copper is far better conductor of heat than glass.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI11:THERMAL PROPERTIES OF MATTER

366752 If two rods of length \(L\) and \(2\;L\) having coefficient of linear expansion \(\alpha\) and \(2 \alpha\) respectively are connected so that total length becomes \(3\;L\), the average coefficient of linear expansion of the composition rod equals:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{5}{2} \alpha\)
3 \(\dfrac{5}{3} \alpha\)
4 None of these
PHXI11:THERMAL PROPERTIES OF MATTER

366753 A copper and a tungsten plate having a thickness \(d\) each are riveted together so that at \(0^\circ C\) they form a flat bimetallic plate. Find the average radius of the curvature of this plate at temperature T. The coefficient of linear expansion for Copper and tungsten are \(\alpha_{C u}\) and \(\alpha_{t}\).

1 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
2 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
3 \(\delta \dfrac{\left[2+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
4 \(\delta \dfrac{\left[1+\left(\alpha_{c}+\alpha_{t}\right) T\right]}{\left[2\left(\alpha_{c}-\alpha_{t}\right) T\right]}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366754 As a result of a temperature rise of \(32^\circ C\), a bar with a crack at its centre buckles upward as shown in the figure. If the fixed distance is \({L_0} = 3.77\;m\) and the coefficient of linear expansion is \(25 \times {10^{ - 6}}/^\circ C\), find \(x\), the distance to which the centre rises.
supporting img

1 \(6.0\;cm\;\)
2 \(3.5\;cm\;\)
3 \(4\;cm\;\)
4 \(7.5\;cm\;\)