Thermal Expansion
PHXI11:THERMAL PROPERTIES OF MATTER

366811 A steel rail of length 5m and area of cross section 40cm2 is prevented from expanding along its length while the temperature rises by 10C. If coefficient of linear expansion and young's modulus of steel are 1.2×105K1 and 2×1011Nm2 respectively, the force developed in the rail is approxmately:

1 2×107N
2 2×109N
3 3×105N
4 1×105N
PHXI11:THERMAL PROPERTIES OF MATTER

366812 Two rods of different metals having the same area of cross-section A are placed between the two massive walls as shown in figure. The first rod has a length l1, coefficient of linear expansion α1 and Young's modulus Y1. The corresponding quantities for second rod are l2,α2 and Y2. The temperature of both the rods is now raised by ΔT. The displacement of the junction is
supporting img

1 l1l2ΔT
2 l1l2ΔT(Y1α1Y2α2)Y1l2+Y2l1
3 l1l2ΔT(Y1l2+Y2l1)Y1α1+Y2α2
4 l1l2(Y1α1Y2α2)ΔTY1l1+Y2l2
PHXI11:THERMAL PROPERTIES OF MATTER

366813 A metallic bar of Young's modulus, 0.5×1011Nm2 and coefficient of linear thermal expansion 105C1, length 1 m and area of cross-section 103 m2 is heated from 0C to 100C without expansion or bending. The compressive force developed in it is:

1 5×103 N
2 50×103 N
3 100×103 N
4 2×103 N
PHXI11:THERMAL PROPERTIES OF MATTER

366814 The coefficient of real expansion of mercury is 0.18×103C1. If the density of mercury at 0C is 13.6g/cc, its density at 473K will be

1 13.12g/cc
2 13.65g/cc
3 13.51g/cc
4 13.22g/cc
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PHXI11:THERMAL PROPERTIES OF MATTER

366811 A steel rail of length 5m and area of cross section 40cm2 is prevented from expanding along its length while the temperature rises by 10C. If coefficient of linear expansion and young's modulus of steel are 1.2×105K1 and 2×1011Nm2 respectively, the force developed in the rail is approxmately:

1 2×107N
2 2×109N
3 3×105N
4 1×105N
PHXI11:THERMAL PROPERTIES OF MATTER

366812 Two rods of different metals having the same area of cross-section A are placed between the two massive walls as shown in figure. The first rod has a length l1, coefficient of linear expansion α1 and Young's modulus Y1. The corresponding quantities for second rod are l2,α2 and Y2. The temperature of both the rods is now raised by ΔT. The displacement of the junction is
supporting img

1 l1l2ΔT
2 l1l2ΔT(Y1α1Y2α2)Y1l2+Y2l1
3 l1l2ΔT(Y1l2+Y2l1)Y1α1+Y2α2
4 l1l2(Y1α1Y2α2)ΔTY1l1+Y2l2
PHXI11:THERMAL PROPERTIES OF MATTER

366813 A metallic bar of Young's modulus, 0.5×1011Nm2 and coefficient of linear thermal expansion 105C1, length 1 m and area of cross-section 103 m2 is heated from 0C to 100C without expansion or bending. The compressive force developed in it is:

1 5×103 N
2 50×103 N
3 100×103 N
4 2×103 N
PHXI11:THERMAL PROPERTIES OF MATTER

366814 The coefficient of real expansion of mercury is 0.18×103C1. If the density of mercury at 0C is 13.6g/cc, its density at 473K will be

1 13.12g/cc
2 13.65g/cc
3 13.51g/cc
4 13.22g/cc
PHXI11:THERMAL PROPERTIES OF MATTER

366811 A steel rail of length 5m and area of cross section 40cm2 is prevented from expanding along its length while the temperature rises by 10C. If coefficient of linear expansion and young's modulus of steel are 1.2×105K1 and 2×1011Nm2 respectively, the force developed in the rail is approxmately:

1 2×107N
2 2×109N
3 3×105N
4 1×105N
PHXI11:THERMAL PROPERTIES OF MATTER

366812 Two rods of different metals having the same area of cross-section A are placed between the two massive walls as shown in figure. The first rod has a length l1, coefficient of linear expansion α1 and Young's modulus Y1. The corresponding quantities for second rod are l2,α2 and Y2. The temperature of both the rods is now raised by ΔT. The displacement of the junction is
supporting img

1 l1l2ΔT
2 l1l2ΔT(Y1α1Y2α2)Y1l2+Y2l1
3 l1l2ΔT(Y1l2+Y2l1)Y1α1+Y2α2
4 l1l2(Y1α1Y2α2)ΔTY1l1+Y2l2
PHXI11:THERMAL PROPERTIES OF MATTER

366813 A metallic bar of Young's modulus, 0.5×1011Nm2 and coefficient of linear thermal expansion 105C1, length 1 m and area of cross-section 103 m2 is heated from 0C to 100C without expansion or bending. The compressive force developed in it is:

1 5×103 N
2 50×103 N
3 100×103 N
4 2×103 N
PHXI11:THERMAL PROPERTIES OF MATTER

366814 The coefficient of real expansion of mercury is 0.18×103C1. If the density of mercury at 0C is 13.6g/cc, its density at 473K will be

1 13.12g/cc
2 13.65g/cc
3 13.51g/cc
4 13.22g/cc
PHXI11:THERMAL PROPERTIES OF MATTER

366811 A steel rail of length 5m and area of cross section 40cm2 is prevented from expanding along its length while the temperature rises by 10C. If coefficient of linear expansion and young's modulus of steel are 1.2×105K1 and 2×1011Nm2 respectively, the force developed in the rail is approxmately:

1 2×107N
2 2×109N
3 3×105N
4 1×105N
PHXI11:THERMAL PROPERTIES OF MATTER

366812 Two rods of different metals having the same area of cross-section A are placed between the two massive walls as shown in figure. The first rod has a length l1, coefficient of linear expansion α1 and Young's modulus Y1. The corresponding quantities for second rod are l2,α2 and Y2. The temperature of both the rods is now raised by ΔT. The displacement of the junction is
supporting img

1 l1l2ΔT
2 l1l2ΔT(Y1α1Y2α2)Y1l2+Y2l1
3 l1l2ΔT(Y1l2+Y2l1)Y1α1+Y2α2
4 l1l2(Y1α1Y2α2)ΔTY1l1+Y2l2
PHXI11:THERMAL PROPERTIES OF MATTER

366813 A metallic bar of Young's modulus, 0.5×1011Nm2 and coefficient of linear thermal expansion 105C1, length 1 m and area of cross-section 103 m2 is heated from 0C to 100C without expansion or bending. The compressive force developed in it is:

1 5×103 N
2 50×103 N
3 100×103 N
4 2×103 N
PHXI11:THERMAL PROPERTIES OF MATTER

366814 The coefficient of real expansion of mercury is 0.18×103C1. If the density of mercury at 0C is 13.6g/cc, its density at 473K will be

1 13.12g/cc
2 13.65g/cc
3 13.51g/cc
4 13.22g/cc