Chapter 11
Thermal Properties of Matter
1. A long metallic bar is carrying heat from one of its
loge ( – 0)
loge ( – 0)
ends to the other end under steady state. The
variation of temperature q along the length x of the
bar from its hot end is best described by which of
(1) (2)
the following figures? [AIEEE-2009]
t
t
loge ( – 0)
(1)
x
(3) (4)
t
t
4. A wooden wheel of radius R is made of two
(2) semicircular parts (see figure). The two parts are
x held together by a ring made of a metal strip of
cross sectional area S and length L. L is slightly
less than 2pR. To fit the ring on the wheel, it is
heated so that its temperature rises by DT and it
just steps over the wheel. As it cools down to
(3) surrounding temperature, it presses the
semicircular parts together. If the coefficient of
x linear expansion of the metal is a, and its Youngs'
modulus is Y, the force that one part of the wheel
applies on the other part is [AIEEE-2012]
(4)
x
R
2. An aluminium sphere of 20 cm diameter is
heated from 0°C to 100°C. Its volume changes by
(given that coefficient of linear expansion for
aluminium aAl = 23 × 10–6/°C) [AIEEE-2011] (1) SYaDT (2) pSYaDT
(1) 49.8 cc (2) 28.9 cc (3) 2SYaDT (4) 2pSYaDT
(3) 2.89 cc (4) 9.28 cc 5. If a piece of metal is heated to temperature q and
3. A liquid in a beaker has temperature q(t) at time t then allowed to cool in a room which is at
and q 0 is temperature of surroundings, then temperature q0 , the graph between the temperature
according to Newton's law of cooling the correct T of the metal and time t will be closest to :
graph between loge(q – q0) and t is [AIEEE-2012] [JEE (Main)-2013]
Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : 011-47623456
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10. An external pressure P is applied on a cube at 0°C
T so that it is equally compressed from all sides. K
T 0
(1) (2) is the bulk modulus of the material of the cube
o o and a is its coefficient of linear expansion.
t t
Suppose we want to bring the cube to its original
size by heating. The temperature should be raised
T T
by [JEE (Main)-2017]
0
(3) 0 (4)
o o P P
t t (1) (2)
3 K K
6. The pressure that has to be applied to the ends of
a steel wire of length 10 cm to keep its length
3
constant when its temperature is raised by 100°C (3) (4) 3PKa
is PK
(For steel Young's modulus is 2 × 1011 Nm–2 and 11. Temperature difference of 120°C is maintained
coefficient of thermal expansion is 1.1 × 10–5 K–1) between two ends of a uniform rod AB of length
[JEE (Main)-2014] 2L. Another bent rod PQ, of same cross-section as
(1) 2.2 × 108 Pa (2) 2.2 × 109 Pa 3L
AB and length , is connected across AB (see
2
(3) 2.2 × 107 Pa (4) 2.2 × 106 Pa
figure). In steady state, temperature difference
7. Three rods of copper, brass and steel are welded between P and Q will be close to
together to form a Y-shaped structure. Area of
cross-seciton of each rod = 4 cm2. End of copper [JEE (Main)-2019]
rod is maintained at 100°C whereas ends of brass
and steel are kept at 0°C. Lengths of the copper, L
brass and steel rods are 46, 13 and 12 cm 4
respectively. The rods are thermally insulated from A B
surroundings except at ends. Thermal P Q
conductivities of copper, brass and steel are 0.92, L L
0.26 and 0.12 CGS units respectively. Rate of heat 2
flow through copper rod is [JEE (Main)-2014]
(1) 35°C (2) 45°C
(1) 1.2 cal/s (2) 2.4 cal/s
(3) 60°C (4) 75°
(3) 4.8 cal/s (4) 6.0 cal/s
12. An unknown metal of mass 192 g heated to a
8. A pendulum clock loses 12 s a day if the temperature of 100°C was immersed into a brass
temperature is 40°C and gains 4 s a day if the calorimeter of mass 128 g containing 240 g of
temperature is 20°C. The temperature at which the water at a temperature of 8.4°C. Calculate the
clock will show correct time, and the co-efficient of specific heat of the unknown metal if water
linear expansion (a) of the metal of the pendulum temperature stabilizes at 21.5°C. (Specific heat of
shaft are respectively: [JEE (Main)-2016] brass is 394 J kg–1K–1) [JEE (Main)-2019]
(1) 60°C, a = 1.85 × 10 –4/°C (1) 916 J kg–1K–1 (2) 1232 J kg–1K–1
(2) 30°C, a = 1.85 × 10 –3/°C (3) 654 J kg–1K–1 (4) 458 J kg–1K–1
(3) 55°C, a = 1.85 × 10 –2/°C 13. Ice at –20°C is added to 50 g of water at 40°C.
(4) 25°C, a = 1.85 × 10 –5/°C When the temperature of the mixture reaches 0°C,
it is found that 20 g of ice is still unmelted. The
9. A copper ball of mass 100 gm is at a temperature T. amount off ice added to the water was close to
It is dropped in a copper calorimeter of mass
100 gm, filled with 170 gm of water at room (Specific heat of water = 4.2 J/g/°C
temperature. Subsequently, the temperature of the Specific heat of Ice = 2.1 J/g/°C
system is found to be 75°C. T is given by :
Heat of fusion of water at 0°C = 334 J/g)
(Given : room temperature = 30°C, specific heat of
copper = 0.1 cal/gm°C) [JEE (Main)-2017] [JEE (Main)-2019]
(1) 800°C (2) 885°C (1) 100 g (2) 40 g
(3) 1250°C (4) 825°C (3) 50 g (4) 60 g
Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : 011-47623456
Thermal Properties of Matter
1. A long metallic bar is carrying heat from one of its
loge ( – 0)
loge ( – 0)
ends to the other end under steady state. The
variation of temperature q along the length x of the
bar from its hot end is best described by which of
(1) (2)
the following figures? [AIEEE-2009]
t
t
loge ( – 0)
(1)
x
(3) (4)
t
t
4. A wooden wheel of radius R is made of two
(2) semicircular parts (see figure). The two parts are
x held together by a ring made of a metal strip of
cross sectional area S and length L. L is slightly
less than 2pR. To fit the ring on the wheel, it is
heated so that its temperature rises by DT and it
just steps over the wheel. As it cools down to
(3) surrounding temperature, it presses the
semicircular parts together. If the coefficient of
x linear expansion of the metal is a, and its Youngs'
modulus is Y, the force that one part of the wheel
applies on the other part is [AIEEE-2012]
(4)
x
R
2. An aluminium sphere of 20 cm diameter is
heated from 0°C to 100°C. Its volume changes by
(given that coefficient of linear expansion for
aluminium aAl = 23 × 10–6/°C) [AIEEE-2011] (1) SYaDT (2) pSYaDT
(1) 49.8 cc (2) 28.9 cc (3) 2SYaDT (4) 2pSYaDT
(3) 2.89 cc (4) 9.28 cc 5. If a piece of metal is heated to temperature q and
3. A liquid in a beaker has temperature q(t) at time t then allowed to cool in a room which is at
and q 0 is temperature of surroundings, then temperature q0 , the graph between the temperature
according to Newton's law of cooling the correct T of the metal and time t will be closest to :
graph between loge(q – q0) and t is [AIEEE-2012] [JEE (Main)-2013]
Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : 011-47623456
, PHYSICS ARCHIVE - JEE (Main)
10. An external pressure P is applied on a cube at 0°C
T so that it is equally compressed from all sides. K
T 0
(1) (2) is the bulk modulus of the material of the cube
o o and a is its coefficient of linear expansion.
t t
Suppose we want to bring the cube to its original
size by heating. The temperature should be raised
T T
by [JEE (Main)-2017]
0
(3) 0 (4)
o o P P
t t (1) (2)
3 K K
6. The pressure that has to be applied to the ends of
a steel wire of length 10 cm to keep its length
3
constant when its temperature is raised by 100°C (3) (4) 3PKa
is PK
(For steel Young's modulus is 2 × 1011 Nm–2 and 11. Temperature difference of 120°C is maintained
coefficient of thermal expansion is 1.1 × 10–5 K–1) between two ends of a uniform rod AB of length
[JEE (Main)-2014] 2L. Another bent rod PQ, of same cross-section as
(1) 2.2 × 108 Pa (2) 2.2 × 109 Pa 3L
AB and length , is connected across AB (see
2
(3) 2.2 × 107 Pa (4) 2.2 × 106 Pa
figure). In steady state, temperature difference
7. Three rods of copper, brass and steel are welded between P and Q will be close to
together to form a Y-shaped structure. Area of
cross-seciton of each rod = 4 cm2. End of copper [JEE (Main)-2019]
rod is maintained at 100°C whereas ends of brass
and steel are kept at 0°C. Lengths of the copper, L
brass and steel rods are 46, 13 and 12 cm 4
respectively. The rods are thermally insulated from A B
surroundings except at ends. Thermal P Q
conductivities of copper, brass and steel are 0.92, L L
0.26 and 0.12 CGS units respectively. Rate of heat 2
flow through copper rod is [JEE (Main)-2014]
(1) 35°C (2) 45°C
(1) 1.2 cal/s (2) 2.4 cal/s
(3) 60°C (4) 75°
(3) 4.8 cal/s (4) 6.0 cal/s
12. An unknown metal of mass 192 g heated to a
8. A pendulum clock loses 12 s a day if the temperature of 100°C was immersed into a brass
temperature is 40°C and gains 4 s a day if the calorimeter of mass 128 g containing 240 g of
temperature is 20°C. The temperature at which the water at a temperature of 8.4°C. Calculate the
clock will show correct time, and the co-efficient of specific heat of the unknown metal if water
linear expansion (a) of the metal of the pendulum temperature stabilizes at 21.5°C. (Specific heat of
shaft are respectively: [JEE (Main)-2016] brass is 394 J kg–1K–1) [JEE (Main)-2019]
(1) 60°C, a = 1.85 × 10 –4/°C (1) 916 J kg–1K–1 (2) 1232 J kg–1K–1
(2) 30°C, a = 1.85 × 10 –3/°C (3) 654 J kg–1K–1 (4) 458 J kg–1K–1
(3) 55°C, a = 1.85 × 10 –2/°C 13. Ice at –20°C is added to 50 g of water at 40°C.
(4) 25°C, a = 1.85 × 10 –5/°C When the temperature of the mixture reaches 0°C,
it is found that 20 g of ice is still unmelted. The
9. A copper ball of mass 100 gm is at a temperature T. amount off ice added to the water was close to
It is dropped in a copper calorimeter of mass
100 gm, filled with 170 gm of water at room (Specific heat of water = 4.2 J/g/°C
temperature. Subsequently, the temperature of the Specific heat of Ice = 2.1 J/g/°C
system is found to be 75°C. T is given by :
Heat of fusion of water at 0°C = 334 J/g)
(Given : room temperature = 30°C, specific heat of
copper = 0.1 cal/gm°C) [JEE (Main)-2017] [JEE (Main)-2019]
(1) 800°C (2) 885°C (1) 100 g (2) 40 g
(3) 1250°C (4) 825°C (3) 50 g (4) 60 g
Corporate Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Phone : 011-47623456
