Thermal Expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366772 An isosceles triangle is formed with in a rod of length \(l_{1}\) and coefficient of linear expansion \(\alpha_{1}\) as the base and two thin rods each of length \(l_{2}\) and coefficient of linear expansions \(\alpha_{2}\) as the two sides. If the distance between the apex and the midpoint of the base remain unchanged as the temperature is varied, then
supporting img

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

366773 A hole is drilled in a copper sheet. The diameter of the hole is \(4.24\;cm\) at \(27^\circ C\). What is the change in the diameter of the hole when the sheet is heated to \(227^\circ C\) ? Coefficient of linear expansion of copper is \(1.70 \times {10^{ - 5}}/\,^\circ C\).

1 \(1.44 \times {10^{ - 2}}\;cm\)
2 \(2.44 \times {10^{ - 3}}\;cm\)
3 \(1.44 \times {10^{ - 2}}\;mm\)
4 \(2.44 \times {10^{ - 2}}\;mm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366774 A bimetallic strip consists of metals \(X\) and \(Y\). It is mounted rigidly at the base as shown. The metal \(X\) has a higher coefficient of expansion compared to that for metal \(Y\). When bimetallic strip is placed in a hot bath:
supporting img

1 It will bend towards the right
2 It will bend towards the left
3 It will neither bend nor shrink
4 It will not bend but shrink
PHXI11:THERMAL PROPERTIES OF MATTER

366775 As the temperature is increased, the time period of a pendulum.

1 Increase as the effective length increases even though its centre of mass still remains at the centre of the bob.
2 Decreases as its effective length increases even through its centre of mass still remains at the centre of the bob.
3 Increases as its effective length increases due to shifting of centre of mass below below centre of the bob
4 Decreases as its effective length increases remains same but centre of the mass shifts above the centre of the bob.
PHXI11:THERMAL PROPERTIES OF MATTER

366772 An isosceles triangle is formed with in a rod of length \(l_{1}\) and coefficient of linear expansion \(\alpha_{1}\) as the base and two thin rods each of length \(l_{2}\) and coefficient of linear expansions \(\alpha_{2}\) as the two sides. If the distance between the apex and the midpoint of the base remain unchanged as the temperature is varied, then
supporting img

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

366773 A hole is drilled in a copper sheet. The diameter of the hole is \(4.24\;cm\) at \(27^\circ C\). What is the change in the diameter of the hole when the sheet is heated to \(227^\circ C\) ? Coefficient of linear expansion of copper is \(1.70 \times {10^{ - 5}}/\,^\circ C\).

1 \(1.44 \times {10^{ - 2}}\;cm\)
2 \(2.44 \times {10^{ - 3}}\;cm\)
3 \(1.44 \times {10^{ - 2}}\;mm\)
4 \(2.44 \times {10^{ - 2}}\;mm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366774 A bimetallic strip consists of metals \(X\) and \(Y\). It is mounted rigidly at the base as shown. The metal \(X\) has a higher coefficient of expansion compared to that for metal \(Y\). When bimetallic strip is placed in a hot bath:
supporting img

1 It will bend towards the right
2 It will bend towards the left
3 It will neither bend nor shrink
4 It will not bend but shrink
PHXI11:THERMAL PROPERTIES OF MATTER

366775 As the temperature is increased, the time period of a pendulum.

1 Increase as the effective length increases even though its centre of mass still remains at the centre of the bob.
2 Decreases as its effective length increases even through its centre of mass still remains at the centre of the bob.
3 Increases as its effective length increases due to shifting of centre of mass below below centre of the bob
4 Decreases as its effective length increases remains same but centre of the mass shifts above the centre of the bob.
PHXI11:THERMAL PROPERTIES OF MATTER

366772 An isosceles triangle is formed with in a rod of length \(l_{1}\) and coefficient of linear expansion \(\alpha_{1}\) as the base and two thin rods each of length \(l_{2}\) and coefficient of linear expansions \(\alpha_{2}\) as the two sides. If the distance between the apex and the midpoint of the base remain unchanged as the temperature is varied, then
supporting img

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

366773 A hole is drilled in a copper sheet. The diameter of the hole is \(4.24\;cm\) at \(27^\circ C\). What is the change in the diameter of the hole when the sheet is heated to \(227^\circ C\) ? Coefficient of linear expansion of copper is \(1.70 \times {10^{ - 5}}/\,^\circ C\).

1 \(1.44 \times {10^{ - 2}}\;cm\)
2 \(2.44 \times {10^{ - 3}}\;cm\)
3 \(1.44 \times {10^{ - 2}}\;mm\)
4 \(2.44 \times {10^{ - 2}}\;mm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366774 A bimetallic strip consists of metals \(X\) and \(Y\). It is mounted rigidly at the base as shown. The metal \(X\) has a higher coefficient of expansion compared to that for metal \(Y\). When bimetallic strip is placed in a hot bath:
supporting img

1 It will bend towards the right
2 It will bend towards the left
3 It will neither bend nor shrink
4 It will not bend but shrink
PHXI11:THERMAL PROPERTIES OF MATTER

366775 As the temperature is increased, the time period of a pendulum.

1 Increase as the effective length increases even though its centre of mass still remains at the centre of the bob.
2 Decreases as its effective length increases even through its centre of mass still remains at the centre of the bob.
3 Increases as its effective length increases due to shifting of centre of mass below below centre of the bob
4 Decreases as its effective length increases remains same but centre of the mass shifts above the centre of the bob.
PHXI11:THERMAL PROPERTIES OF MATTER

366772 An isosceles triangle is formed with in a rod of length \(l_{1}\) and coefficient of linear expansion \(\alpha_{1}\) as the base and two thin rods each of length \(l_{2}\) and coefficient of linear expansions \(\alpha_{2}\) as the two sides. If the distance between the apex and the midpoint of the base remain unchanged as the temperature is varied, then
supporting img

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

366773 A hole is drilled in a copper sheet. The diameter of the hole is \(4.24\;cm\) at \(27^\circ C\). What is the change in the diameter of the hole when the sheet is heated to \(227^\circ C\) ? Coefficient of linear expansion of copper is \(1.70 \times {10^{ - 5}}/\,^\circ C\).

1 \(1.44 \times {10^{ - 2}}\;cm\)
2 \(2.44 \times {10^{ - 3}}\;cm\)
3 \(1.44 \times {10^{ - 2}}\;mm\)
4 \(2.44 \times {10^{ - 2}}\;mm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366774 A bimetallic strip consists of metals \(X\) and \(Y\). It is mounted rigidly at the base as shown. The metal \(X\) has a higher coefficient of expansion compared to that for metal \(Y\). When bimetallic strip is placed in a hot bath:
supporting img

1 It will bend towards the right
2 It will bend towards the left
3 It will neither bend nor shrink
4 It will not bend but shrink
PHXI11:THERMAL PROPERTIES OF MATTER

366775 As the temperature is increased, the time period of a pendulum.

1 Increase as the effective length increases even though its centre of mass still remains at the centre of the bob.
2 Decreases as its effective length increases even through its centre of mass still remains at the centre of the bob.
3 Increases as its effective length increases due to shifting of centre of mass below below centre of the bob
4 Decreases as its effective length increases remains same but centre of the mass shifts above the centre of the bob.
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