Thermal Expansion
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PHXI11:THERMAL PROPERTIES OF MATTER

366755 A cylindrical metal rod of length \(L_{0}\) is shaped into a ring with a small gap as shown. On heating the system
supporting img

1 \(x\) decreases, \(r\) and \(d\) increase
2 \(x\) and \(r\) increase, \(d\) decreases
3 \(x, r\) and \(d\) all increase
4 Data insufficient to arrive at a conclusion
PHXI11:THERMAL PROPERTIES OF MATTER

366756 The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula \(\alpha=a T\), where \(a\) is a positive constant and \(T\) in \(^\circ C\). If the length of the rod is \(l\) at temperature \(0^\circ C\), then the temperature at which the length will be \(2 l\) is:

1 \(\sqrt{\dfrac{\ln 2}{a}}\)
2 \(\sqrt{\dfrac{\ln 4}{a}}\)
3 \(\dfrac{1}{a}\)
4 \(\dfrac{2}{a}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366757 When a metal bar is heated, the increase in length is greater, if

1 The bar has large diameter
2 The bar is long.
3 The temperature rise is small
4 Small diameter
PHXI11:THERMAL PROPERTIES OF MATTER

366758 What should be the lengths of a steel and copper rod at \(0^\circ C\) so that the length of the steel rod is \(5\;cm\) longer than the copper rod at any temperature
\(\alpha \,\left( {Steel} \right){\rm{ }} = 1.1 \times {10^{ - 5}}\,^\circ {C^{ - 1}}\) Copper \( = 1.7 \times {10^{ - 5}}\,^\circ C\)

1 \(9.17\;cm;14.17\;cm\)
2 \(14.17\;cm;9.17\;cm\)
3 \(14.17\;cm;18.34\;cm\)
4 \(28.34\;cm;18.34\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366755 A cylindrical metal rod of length \(L_{0}\) is shaped into a ring with a small gap as shown. On heating the system
supporting img

1 \(x\) decreases, \(r\) and \(d\) increase
2 \(x\) and \(r\) increase, \(d\) decreases
3 \(x, r\) and \(d\) all increase
4 Data insufficient to arrive at a conclusion
PHXI11:THERMAL PROPERTIES OF MATTER

366756 The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula \(\alpha=a T\), where \(a\) is a positive constant and \(T\) in \(^\circ C\). If the length of the rod is \(l\) at temperature \(0^\circ C\), then the temperature at which the length will be \(2 l\) is:

1 \(\sqrt{\dfrac{\ln 2}{a}}\)
2 \(\sqrt{\dfrac{\ln 4}{a}}\)
3 \(\dfrac{1}{a}\)
4 \(\dfrac{2}{a}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366757 When a metal bar is heated, the increase in length is greater, if

1 The bar has large diameter
2 The bar is long.
3 The temperature rise is small
4 Small diameter
PHXI11:THERMAL PROPERTIES OF MATTER

366758 What should be the lengths of a steel and copper rod at \(0^\circ C\) so that the length of the steel rod is \(5\;cm\) longer than the copper rod at any temperature
\(\alpha \,\left( {Steel} \right){\rm{ }} = 1.1 \times {10^{ - 5}}\,^\circ {C^{ - 1}}\) Copper \( = 1.7 \times {10^{ - 5}}\,^\circ C\)

1 \(9.17\;cm;14.17\;cm\)
2 \(14.17\;cm;9.17\;cm\)
3 \(14.17\;cm;18.34\;cm\)
4 \(28.34\;cm;18.34\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366755 A cylindrical metal rod of length \(L_{0}\) is shaped into a ring with a small gap as shown. On heating the system
supporting img

1 \(x\) decreases, \(r\) and \(d\) increase
2 \(x\) and \(r\) increase, \(d\) decreases
3 \(x, r\) and \(d\) all increase
4 Data insufficient to arrive at a conclusion
PHXI11:THERMAL PROPERTIES OF MATTER

366756 The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula \(\alpha=a T\), where \(a\) is a positive constant and \(T\) in \(^\circ C\). If the length of the rod is \(l\) at temperature \(0^\circ C\), then the temperature at which the length will be \(2 l\) is:

1 \(\sqrt{\dfrac{\ln 2}{a}}\)
2 \(\sqrt{\dfrac{\ln 4}{a}}\)
3 \(\dfrac{1}{a}\)
4 \(\dfrac{2}{a}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366757 When a metal bar is heated, the increase in length is greater, if

1 The bar has large diameter
2 The bar is long.
3 The temperature rise is small
4 Small diameter
PHXI11:THERMAL PROPERTIES OF MATTER

366758 What should be the lengths of a steel and copper rod at \(0^\circ C\) so that the length of the steel rod is \(5\;cm\) longer than the copper rod at any temperature
\(\alpha \,\left( {Steel} \right){\rm{ }} = 1.1 \times {10^{ - 5}}\,^\circ {C^{ - 1}}\) Copper \( = 1.7 \times {10^{ - 5}}\,^\circ C\)

1 \(9.17\;cm;14.17\;cm\)
2 \(14.17\;cm;9.17\;cm\)
3 \(14.17\;cm;18.34\;cm\)
4 \(28.34\;cm;18.34\;cm\)
PHXI11:THERMAL PROPERTIES OF MATTER

366755 A cylindrical metal rod of length \(L_{0}\) is shaped into a ring with a small gap as shown. On heating the system
supporting img

1 \(x\) decreases, \(r\) and \(d\) increase
2 \(x\) and \(r\) increase, \(d\) decreases
3 \(x, r\) and \(d\) all increase
4 Data insufficient to arrive at a conclusion
PHXI11:THERMAL PROPERTIES OF MATTER

366756 The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula \(\alpha=a T\), where \(a\) is a positive constant and \(T\) in \(^\circ C\). If the length of the rod is \(l\) at temperature \(0^\circ C\), then the temperature at which the length will be \(2 l\) is:

1 \(\sqrt{\dfrac{\ln 2}{a}}\)
2 \(\sqrt{\dfrac{\ln 4}{a}}\)
3 \(\dfrac{1}{a}\)
4 \(\dfrac{2}{a}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366757 When a metal bar is heated, the increase in length is greater, if

1 The bar has large diameter
2 The bar is long.
3 The temperature rise is small
4 Small diameter
PHXI11:THERMAL PROPERTIES OF MATTER

366758 What should be the lengths of a steel and copper rod at \(0^\circ C\) so that the length of the steel rod is \(5\;cm\) longer than the copper rod at any temperature
\(\alpha \,\left( {Steel} \right){\rm{ }} = 1.1 \times {10^{ - 5}}\,^\circ {C^{ - 1}}\) Copper \( = 1.7 \times {10^{ - 5}}\,^\circ C\)

1 \(9.17\;cm;14.17\;cm\)
2 \(14.17\;cm;9.17\;cm\)
3 \(14.17\;cm;18.34\;cm\)
4 \(28.34\;cm;18.34\;cm\)