Thermal Expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366802 A steel rod of diameter \(1\;cm\) is clamped firmly at each end when its temperature is \(25^\circ C\) so that it cannot contract on cooling. The tension in the rod at \(0^\circ C\) is approximately
\(\left( {\alpha = {{10}^{ - 5}}/^\circ C,Y = 2 \times {{10}^{11}}N{m^{ - 2}}} \right):\)

1 \(7000\;N\)
2 \(4000\;N\)
3 \(4700\;N\)
4 \(7400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366803 An iron rod of length \(l\) and of cross-sectional area \(A\) is heated from \(0^\circ C\) to \(100^\circ C\). If the rod neither expands nor bends, then the developed force \(F\) is proportional to

1 \(l\)
2 \(l^{0}\)
3 \(l^{-1}\)
4 \({A^{ - 1}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366804 A compressive force, \(F\) is applied at the two ends of a long thin steel rod. It is heated, simultaneously, Such that its temperature increases by \(\Delta T\). The net charge in its length is zero. Let \(l\) be the length of the rod, A its area of cross-section, \(Y\) its Young's modulus, and \(\alpha\) its coefficient of linear expansions. then \(F\) is equal to:

1 \(l^{2} Y \alpha \Delta T\)
2 \(l A Y \alpha \Delta T\)
3 \(A Y \propto \Delta T\)
4 \(\dfrac{A Y}{\alpha \Delta T}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366805 When a rod is heated but prevented from expanding, the stress developed is independent of

1 Rise in temperature
2 Material of the rod
3 Both length and temperature
4 Length of rod
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI11:THERMAL PROPERTIES OF MATTER

366802 A steel rod of diameter \(1\;cm\) is clamped firmly at each end when its temperature is \(25^\circ C\) so that it cannot contract on cooling. The tension in the rod at \(0^\circ C\) is approximately
\(\left( {\alpha = {{10}^{ - 5}}/^\circ C,Y = 2 \times {{10}^{11}}N{m^{ - 2}}} \right):\)

1 \(7000\;N\)
2 \(4000\;N\)
3 \(4700\;N\)
4 \(7400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366803 An iron rod of length \(l\) and of cross-sectional area \(A\) is heated from \(0^\circ C\) to \(100^\circ C\). If the rod neither expands nor bends, then the developed force \(F\) is proportional to

1 \(l\)
2 \(l^{0}\)
3 \(l^{-1}\)
4 \({A^{ - 1}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366804 A compressive force, \(F\) is applied at the two ends of a long thin steel rod. It is heated, simultaneously, Such that its temperature increases by \(\Delta T\). The net charge in its length is zero. Let \(l\) be the length of the rod, A its area of cross-section, \(Y\) its Young's modulus, and \(\alpha\) its coefficient of linear expansions. then \(F\) is equal to:

1 \(l^{2} Y \alpha \Delta T\)
2 \(l A Y \alpha \Delta T\)
3 \(A Y \propto \Delta T\)
4 \(\dfrac{A Y}{\alpha \Delta T}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366805 When a rod is heated but prevented from expanding, the stress developed is independent of

1 Rise in temperature
2 Material of the rod
3 Both length and temperature
4 Length of rod
PHXI11:THERMAL PROPERTIES OF MATTER

366802 A steel rod of diameter \(1\;cm\) is clamped firmly at each end when its temperature is \(25^\circ C\) so that it cannot contract on cooling. The tension in the rod at \(0^\circ C\) is approximately
\(\left( {\alpha = {{10}^{ - 5}}/^\circ C,Y = 2 \times {{10}^{11}}N{m^{ - 2}}} \right):\)

1 \(7000\;N\)
2 \(4000\;N\)
3 \(4700\;N\)
4 \(7400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366803 An iron rod of length \(l\) and of cross-sectional area \(A\) is heated from \(0^\circ C\) to \(100^\circ C\). If the rod neither expands nor bends, then the developed force \(F\) is proportional to

1 \(l\)
2 \(l^{0}\)
3 \(l^{-1}\)
4 \({A^{ - 1}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366804 A compressive force, \(F\) is applied at the two ends of a long thin steel rod. It is heated, simultaneously, Such that its temperature increases by \(\Delta T\). The net charge in its length is zero. Let \(l\) be the length of the rod, A its area of cross-section, \(Y\) its Young's modulus, and \(\alpha\) its coefficient of linear expansions. then \(F\) is equal to:

1 \(l^{2} Y \alpha \Delta T\)
2 \(l A Y \alpha \Delta T\)
3 \(A Y \propto \Delta T\)
4 \(\dfrac{A Y}{\alpha \Delta T}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366805 When a rod is heated but prevented from expanding, the stress developed is independent of

1 Rise in temperature
2 Material of the rod
3 Both length and temperature
4 Length of rod
PHXI11:THERMAL PROPERTIES OF MATTER

366802 A steel rod of diameter \(1\;cm\) is clamped firmly at each end when its temperature is \(25^\circ C\) so that it cannot contract on cooling. The tension in the rod at \(0^\circ C\) is approximately
\(\left( {\alpha = {{10}^{ - 5}}/^\circ C,Y = 2 \times {{10}^{11}}N{m^{ - 2}}} \right):\)

1 \(7000\;N\)
2 \(4000\;N\)
3 \(4700\;N\)
4 \(7400\;N\)
PHXI11:THERMAL PROPERTIES OF MATTER

366803 An iron rod of length \(l\) and of cross-sectional area \(A\) is heated from \(0^\circ C\) to \(100^\circ C\). If the rod neither expands nor bends, then the developed force \(F\) is proportional to

1 \(l\)
2 \(l^{0}\)
3 \(l^{-1}\)
4 \({A^{ - 1}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366804 A compressive force, \(F\) is applied at the two ends of a long thin steel rod. It is heated, simultaneously, Such that its temperature increases by \(\Delta T\). The net charge in its length is zero. Let \(l\) be the length of the rod, A its area of cross-section, \(Y\) its Young's modulus, and \(\alpha\) its coefficient of linear expansions. then \(F\) is equal to:

1 \(l^{2} Y \alpha \Delta T\)
2 \(l A Y \alpha \Delta T\)
3 \(A Y \propto \Delta T\)
4 \(\dfrac{A Y}{\alpha \Delta T}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366805 When a rod is heated but prevented from expanding, the stress developed is independent of

1 Rise in temperature
2 Material of the rod
3 Both length and temperature
4 Length of rod