Thermal Expansion, Calorimetry Practice Questions - DPP for NEET

 Page 1


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A glass flask is filled up to a mark with 50 cc of mercury at
18°C. If the flask and contents are heated to 38°C, how much
mercury will be above the mark? ( a for glass is 9 × 10
–6
/°C
and coefficient of real expansion of mercury is 180 × 10
–6
/
°C)
(a) 0.85 cc (b) 0.46 cc (c) 0.153 cc (d) 0.05 cc
Q.2 The coefficient of apparent expansion of mercury in a glass
vessel is 153 × 10
–6
/°C and in a steel vessel is 144 × 10
–6
/
°C. If a for steel is 12 × 10
–6
/°C, then that of glass is
(a) 9 × 10
–6
/°C (b) 6 × 10
–6
/°C
(c) 36 × 10
–6
/°C (d) 27 × 10
–6
/°C
Q.3 An iron tyre is to be fitted on to a wooden wheel 1m in
diameter. The diameter of tyre is 6mm smaller than that of
wheel. The tyre should be heated so that its temperature
increases by a minimum of  (the coefficient of cubical
expansion of iron is 3.6 ×  10
–5
/°C)
(a) 167°C (b) 334°C (c) 500°C (d) 1000°C
Q.4 A rod of length 20 cm is made of metal. It expands by
0.075 cm when its temperature is raised from 0°C to
100°C. Another rod of a different metal B having the same
length expands by 0.045 cm for the same change in
temperature. A third rod of the same length is composed
of two parts, one of metal A and the other of metal B. This
rod expands by 0.060 cm for the same change in
temperature. The portion made of metal A has the length
(a) 20 cm (b) 10 cm (c) 15 cm (d) 18 cm
Page 2


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A glass flask is filled up to a mark with 50 cc of mercury at
18°C. If the flask and contents are heated to 38°C, how much
mercury will be above the mark? ( a for glass is 9 × 10
–6
/°C
and coefficient of real expansion of mercury is 180 × 10
–6
/
°C)
(a) 0.85 cc (b) 0.46 cc (c) 0.153 cc (d) 0.05 cc
Q.2 The coefficient of apparent expansion of mercury in a glass
vessel is 153 × 10
–6
/°C and in a steel vessel is 144 × 10
–6
/
°C. If a for steel is 12 × 10
–6
/°C, then that of glass is
(a) 9 × 10
–6
/°C (b) 6 × 10
–6
/°C
(c) 36 × 10
–6
/°C (d) 27 × 10
–6
/°C
Q.3 An iron tyre is to be fitted on to a wooden wheel 1m in
diameter. The diameter of tyre is 6mm smaller than that of
wheel. The tyre should be heated so that its temperature
increases by a minimum of  (the coefficient of cubical
expansion of iron is 3.6 ×  10
–5
/°C)
(a) 167°C (b) 334°C (c) 500°C (d) 1000°C
Q.4 A rod of length 20 cm is made of metal. It expands by
0.075 cm when its temperature is raised from 0°C to
100°C. Another rod of a different metal B having the same
length expands by 0.045 cm for the same change in
temperature. A third rod of the same length is composed
of two parts, one of metal A and the other of metal B. This
rod expands by 0.060 cm for the same change in
temperature. The portion made of metal A has the length
(a) 20 cm (b) 10 cm (c) 15 cm (d) 18 cm
2
DPP/ P 22
Q.5 A glass flask of volume one litre at 0°C is filled, level full
of mercury at this temperature. The flask and mercury are
now heated to 100°C. How much mercury will spill out, if
coefficie nt of volume e xpans ion of mercury is 1.82 × 10
–
4
/°C and linear expansion of glass is  0.1 × 10
–4
/°C?
(a) 21.2 cc (b) 15.2 cc (c) 1.52 cc (d) 2.12 cc
Q.6 The apparent coefficient of expansion of a liquid when
heated in a copper vessel is C and when heated in a silver
vessel is S. If A is the linear coefficient of expansion of
copper, then the linear coefficient of expansion of silver
is
(a)
C S 3A
3
+-
(b)
C3AS
3
+-
(c)
S 3AC
3
+-
(d)
C S 3A
3
-+
Q.7 The coefficient of volumetric expansion of mercury is 18
× 10
–5
/°C. A thermometer bulb has a volume 10
–6
 m
3
 and
cross section of stem is 0.004 cm
2
. Assuming that bulb is
filled with mercury at 0°C then the length of the mercury
column at 100°C is
(a) 18.8 mm (b) 9.2 mm (c) 7.4 cm (d) 4.5 cm
Q.8 A piece of metal weight 46 gm in air, when it is immersed
in the liquid of specific gravity 1.24 at 27°C it weighs 30
gm. When the temperature of liquid is raised to 42°C the
metal piece weighs 30.5 gm, specific gravity of the liquid
at 42°C is 1.20, then the linear expansion of the metal will
be
(a) 3.316 × 10
–5
/°C (b) 2.316 × 10
–5
/°C
(c) 4.316 × 10
–5
/°C (d) None of these
Q.9 2 kg of ice at – 20°C is mixed with 5 kg of water at 20°C
in an insulating vessel having a negligible heat capacity.
Calculate the final mass of water remaining in the container.
It is given that the specific heats of water and ice are 1
kcal/kg /°C and 0.5 kcal/kg/°C while the latent heat of fusion
of ice is 80 kcal/kg
(a) 7 kg (b) 6 kg (c) 4 kg (d) 2 kg
Q.10A lead bullet at 27°C just melts when stopped by an
obstacle. Assuming that 25% of heat is absorbed by the
obstacle, then the velocity of the bullet at the time of
striking (M.P. of lead = 327°C, specific heat of lead =
0.03 cal/gm°C, latent heat of fusion of lead = 6 cal/gm
and J = 4.2 joule/cal)
(a) 410 m/sec (b) 1230 m/sec
(c) 307.5 m/sec (d) None of the above
Q.11 The temperature of equal masses of three different liquids
A, B and C are 12°C, 19°C and 28°C respectively. The
temperature when A and B are mixed is 16°C and when B
and C are mixed is 23°C, The temperature when A and C
are mixed is
(a) 18.2°C (b) 22°C (c) 20.2°C (d) 25.2°C
Q.12 50 gm of copper is heated to increase its temperature by
10°C. If the same quantity of heat is given to 10 gm of
water, the rise in its temperature is (Specific heat of copper
= 420 Joule-kg
–1
°C
–1
)
(a) 5°C (b) 6°C (c) 7°C (d) 8°C
Q.13 A beaker contains 200 gm of water. The heat capacity of
the beaker is equal to that of 20 gm of water. The initial
temperature of water in the beaker is 20°C. If 440 gm of
hot water at 92°C is poured in it, the final temperature
(neglecting radiation loss) will be nearest to
(a) 58°C (b) 68°C (c) 73°C (d) 78°C
Q.14 One calorie is defined as the amount of heat required to
raise temperature of 1g of water by 1°C and it is defined
under which of the following condition
(a) From 14.5°C to 15.5°C at 760 mm of Hg
(b) From 98.5°C to 99.5°C at 760 mm of Hg
(c) From 13.5°C to 14.5°C at 76 mm of Hg
(d) From 3.5°C to 4.5°C at 76 mm of Hg
Q.15 A bullet moving with a uniform velocity v, stops suddenly
after hitting the target and the whole mass melts be m,
specific heat S, initial temperature 25°C, melting point
475°C and the latent heat L. Then v is given by
(a) 
2
1
(475 25) .
2
mv
mL mS
J
= -+
(b) 
2
(475 25)
2
mv
mS mL
J
- +=
(c) 
2
(475 25)
mv
mS mL
J
- +=
(d) 
2
(475 25)
2
mv
mS mL
J
- -=
Page 3


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A glass flask is filled up to a mark with 50 cc of mercury at
18°C. If the flask and contents are heated to 38°C, how much
mercury will be above the mark? ( a for glass is 9 × 10
–6
/°C
and coefficient of real expansion of mercury is 180 × 10
–6
/
°C)
(a) 0.85 cc (b) 0.46 cc (c) 0.153 cc (d) 0.05 cc
Q.2 The coefficient of apparent expansion of mercury in a glass
vessel is 153 × 10
–6
/°C and in a steel vessel is 144 × 10
–6
/
°C. If a for steel is 12 × 10
–6
/°C, then that of glass is
(a) 9 × 10
–6
/°C (b) 6 × 10
–6
/°C
(c) 36 × 10
–6
/°C (d) 27 × 10
–6
/°C
Q.3 An iron tyre is to be fitted on to a wooden wheel 1m in
diameter. The diameter of tyre is 6mm smaller than that of
wheel. The tyre should be heated so that its temperature
increases by a minimum of  (the coefficient of cubical
expansion of iron is 3.6 ×  10
–5
/°C)
(a) 167°C (b) 334°C (c) 500°C (d) 1000°C
Q.4 A rod of length 20 cm is made of metal. It expands by
0.075 cm when its temperature is raised from 0°C to
100°C. Another rod of a different metal B having the same
length expands by 0.045 cm for the same change in
temperature. A third rod of the same length is composed
of two parts, one of metal A and the other of metal B. This
rod expands by 0.060 cm for the same change in
temperature. The portion made of metal A has the length
(a) 20 cm (b) 10 cm (c) 15 cm (d) 18 cm
2
DPP/ P 22
Q.5 A glass flask of volume one litre at 0°C is filled, level full
of mercury at this temperature. The flask and mercury are
now heated to 100°C. How much mercury will spill out, if
coefficie nt of volume e xpans ion of mercury is 1.82 × 10
–
4
/°C and linear expansion of glass is  0.1 × 10
–4
/°C?
(a) 21.2 cc (b) 15.2 cc (c) 1.52 cc (d) 2.12 cc
Q.6 The apparent coefficient of expansion of a liquid when
heated in a copper vessel is C and when heated in a silver
vessel is S. If A is the linear coefficient of expansion of
copper, then the linear coefficient of expansion of silver
is
(a)
C S 3A
3
+-
(b)
C3AS
3
+-
(c)
S 3AC
3
+-
(d)
C S 3A
3
-+
Q.7 The coefficient of volumetric expansion of mercury is 18
× 10
–5
/°C. A thermometer bulb has a volume 10
–6
 m
3
 and
cross section of stem is 0.004 cm
2
. Assuming that bulb is
filled with mercury at 0°C then the length of the mercury
column at 100°C is
(a) 18.8 mm (b) 9.2 mm (c) 7.4 cm (d) 4.5 cm
Q.8 A piece of metal weight 46 gm in air, when it is immersed
in the liquid of specific gravity 1.24 at 27°C it weighs 30
gm. When the temperature of liquid is raised to 42°C the
metal piece weighs 30.5 gm, specific gravity of the liquid
at 42°C is 1.20, then the linear expansion of the metal will
be
(a) 3.316 × 10
–5
/°C (b) 2.316 × 10
–5
/°C
(c) 4.316 × 10
–5
/°C (d) None of these
Q.9 2 kg of ice at – 20°C is mixed with 5 kg of water at 20°C
in an insulating vessel having a negligible heat capacity.
Calculate the final mass of water remaining in the container.
It is given that the specific heats of water and ice are 1
kcal/kg /°C and 0.5 kcal/kg/°C while the latent heat of fusion
of ice is 80 kcal/kg
(a) 7 kg (b) 6 kg (c) 4 kg (d) 2 kg
Q.10A lead bullet at 27°C just melts when stopped by an
obstacle. Assuming that 25% of heat is absorbed by the
obstacle, then the velocity of the bullet at the time of
striking (M.P. of lead = 327°C, specific heat of lead =
0.03 cal/gm°C, latent heat of fusion of lead = 6 cal/gm
and J = 4.2 joule/cal)
(a) 410 m/sec (b) 1230 m/sec
(c) 307.5 m/sec (d) None of the above
Q.11 The temperature of equal masses of three different liquids
A, B and C are 12°C, 19°C and 28°C respectively. The
temperature when A and B are mixed is 16°C and when B
and C are mixed is 23°C, The temperature when A and C
are mixed is
(a) 18.2°C (b) 22°C (c) 20.2°C (d) 25.2°C
Q.12 50 gm of copper is heated to increase its temperature by
10°C. If the same quantity of heat is given to 10 gm of
water, the rise in its temperature is (Specific heat of copper
= 420 Joule-kg
–1
°C
–1
)
(a) 5°C (b) 6°C (c) 7°C (d) 8°C
Q.13 A beaker contains 200 gm of water. The heat capacity of
the beaker is equal to that of 20 gm of water. The initial
temperature of water in the beaker is 20°C. If 440 gm of
hot water at 92°C is poured in it, the final temperature
(neglecting radiation loss) will be nearest to
(a) 58°C (b) 68°C (c) 73°C (d) 78°C
Q.14 One calorie is defined as the amount of heat required to
raise temperature of 1g of water by 1°C and it is defined
under which of the following condition
(a) From 14.5°C to 15.5°C at 760 mm of Hg
(b) From 98.5°C to 99.5°C at 760 mm of Hg
(c) From 13.5°C to 14.5°C at 76 mm of Hg
(d) From 3.5°C to 4.5°C at 76 mm of Hg
Q.15 A bullet moving with a uniform velocity v, stops suddenly
after hitting the target and the whole mass melts be m,
specific heat S, initial temperature 25°C, melting point
475°C and the latent heat L. Then v is given by
(a) 
2
1
(475 25) .
2
mv
mL mS
J
= -+
(b) 
2
(475 25)
2
mv
mS mL
J
- +=
(c) 
2
(475 25)
mv
mS mL
J
- +=
(d) 
2
(475 25)
2
mv
mS mL
J
- -=
DPP/ P 22
3
Q.16 A stationary object at 4°C and weighing 3.5 kg falls from a
height of 2000 m on a snow mountain at 0°C. If the
temperature of the object just before hitting the snow is
0°C and the object comes to rest immediately? (g = 10m/
s
2
 and latent heat of ice = 3.5 × 10
5
 joule/sec), then the
object will melt
(a) 2 kg of ice (b) 200 gm of ice
(c) 20 gm of ice (d) 2 gm of ice
Q.17Density of a substance at 0°C is 10 gm/cc and at 100°C,
its density is 9.7 gm/cc. The coefficient of linear expansion
of the substance will be
(a) 10
2
(b) 10
–2
(c) 10
–3
(d) 10
–4
Q.18The real coefficient of volume expansion of glycerine is
0.000597 per °C and linear coefficient of expansion of
glass is 0.000009 per°C. Then the apparent volume
coefficient of expansion of glycerine is
(a) 0.000558 per°C (b) 0.00057 per°C
(c) 0.00027 per°C (d) 0.00066 per°C
Q.19A constant volume gas thermometer shows pressure
reading of 50 cm and 90 cm of mercury at 0°C and 100°C
respectively. When the pressure reading is 60 cm of
mercury, the temperature is
(a) 25°C (b) 40°C (c) 15°C (d) 12.5°C
Q.20 A student takes 50gm wax (specific heat = 0.6 kcal/kg°C)
and heats it till it boils. The graph between temperature and
time is as follows. Heat supplied to the wax per minute and
boiling point are respectively.
1 23 45 6 7 8
0
50
150
200
250
100
Time (Minute)
Temperature (°C)
(a) 500 cal, 50°C (b) 1000 cal, 100°C
(c) 1500 cal, 200°C (d) 1000 cal, 200°C
DIRECTIONS (Q.21-Q.23) : In the following questions,
more than one of the answers  given are correct. Select the
correct answers and mark it according to the following
codes:
Codes :
(a) 1, 2 and 3 are correct (b) 1 and 2 are correct
(c) 2 and 4 are correct (d) 1 and 3 are correct
Q.21 Heat is supplied to a certain homogenous sample of matter,
at a uniform rate. Its temperature is plotted against time,
as shown. Which of the following conclusions can be
drawn?
Time
Temperature
(1) Its specific heat capacity is greater in the liquid state
than in the solid state
(2) Its latent heat of vaporization is greater than its latent
heat of fusion
(3) Its specific heat capacity is greater in the solid state
than in the liquid state
(4) Its latent heat of vaporization is smaller than its latent
heat of fusion
Q.22A bimetallic strip is formed out of two identical strips,
one of copper and other of brass. The coefficients of linear
expansion of the two metals are 
CB
a anda . On heating,
the temperature of the strip goes up by DT and the strip
bends to form an arc of radius of curvature R. Then R is
(1) inversely proportional to DT
(2) proportional to 
BC
aa -
(3) inversely proportional to 
BC
aa -
(4) proportional to DT
Q.23 A bimetallic strip is heated. Choose wrong statements.
(1) does not bend at all
(2) gets twisted in the form of an helix
(3) bends in the form of an arc with the more expandable
metal inside.
(4) bend in the form of an arc with the more expandable
metal outside
Page 4


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A glass flask is filled up to a mark with 50 cc of mercury at
18°C. If the flask and contents are heated to 38°C, how much
mercury will be above the mark? ( a for glass is 9 × 10
–6
/°C
and coefficient of real expansion of mercury is 180 × 10
–6
/
°C)
(a) 0.85 cc (b) 0.46 cc (c) 0.153 cc (d) 0.05 cc
Q.2 The coefficient of apparent expansion of mercury in a glass
vessel is 153 × 10
–6
/°C and in a steel vessel is 144 × 10
–6
/
°C. If a for steel is 12 × 10
–6
/°C, then that of glass is
(a) 9 × 10
–6
/°C (b) 6 × 10
–6
/°C
(c) 36 × 10
–6
/°C (d) 27 × 10
–6
/°C
Q.3 An iron tyre is to be fitted on to a wooden wheel 1m in
diameter. The diameter of tyre is 6mm smaller than that of
wheel. The tyre should be heated so that its temperature
increases by a minimum of  (the coefficient of cubical
expansion of iron is 3.6 ×  10
–5
/°C)
(a) 167°C (b) 334°C (c) 500°C (d) 1000°C
Q.4 A rod of length 20 cm is made of metal. It expands by
0.075 cm when its temperature is raised from 0°C to
100°C. Another rod of a different metal B having the same
length expands by 0.045 cm for the same change in
temperature. A third rod of the same length is composed
of two parts, one of metal A and the other of metal B. This
rod expands by 0.060 cm for the same change in
temperature. The portion made of metal A has the length
(a) 20 cm (b) 10 cm (c) 15 cm (d) 18 cm
2
DPP/ P 22
Q.5 A glass flask of volume one litre at 0°C is filled, level full
of mercury at this temperature. The flask and mercury are
now heated to 100°C. How much mercury will spill out, if
coefficie nt of volume e xpans ion of mercury is 1.82 × 10
–
4
/°C and linear expansion of glass is  0.1 × 10
–4
/°C?
(a) 21.2 cc (b) 15.2 cc (c) 1.52 cc (d) 2.12 cc
Q.6 The apparent coefficient of expansion of a liquid when
heated in a copper vessel is C and when heated in a silver
vessel is S. If A is the linear coefficient of expansion of
copper, then the linear coefficient of expansion of silver
is
(a)
C S 3A
3
+-
(b)
C3AS
3
+-
(c)
S 3AC
3
+-
(d)
C S 3A
3
-+
Q.7 The coefficient of volumetric expansion of mercury is 18
× 10
–5
/°C. A thermometer bulb has a volume 10
–6
 m
3
 and
cross section of stem is 0.004 cm
2
. Assuming that bulb is
filled with mercury at 0°C then the length of the mercury
column at 100°C is
(a) 18.8 mm (b) 9.2 mm (c) 7.4 cm (d) 4.5 cm
Q.8 A piece of metal weight 46 gm in air, when it is immersed
in the liquid of specific gravity 1.24 at 27°C it weighs 30
gm. When the temperature of liquid is raised to 42°C the
metal piece weighs 30.5 gm, specific gravity of the liquid
at 42°C is 1.20, then the linear expansion of the metal will
be
(a) 3.316 × 10
–5
/°C (b) 2.316 × 10
–5
/°C
(c) 4.316 × 10
–5
/°C (d) None of these
Q.9 2 kg of ice at – 20°C is mixed with 5 kg of water at 20°C
in an insulating vessel having a negligible heat capacity.
Calculate the final mass of water remaining in the container.
It is given that the specific heats of water and ice are 1
kcal/kg /°C and 0.5 kcal/kg/°C while the latent heat of fusion
of ice is 80 kcal/kg
(a) 7 kg (b) 6 kg (c) 4 kg (d) 2 kg
Q.10A lead bullet at 27°C just melts when stopped by an
obstacle. Assuming that 25% of heat is absorbed by the
obstacle, then the velocity of the bullet at the time of
striking (M.P. of lead = 327°C, specific heat of lead =
0.03 cal/gm°C, latent heat of fusion of lead = 6 cal/gm
and J = 4.2 joule/cal)
(a) 410 m/sec (b) 1230 m/sec
(c) 307.5 m/sec (d) None of the above
Q.11 The temperature of equal masses of three different liquids
A, B and C are 12°C, 19°C and 28°C respectively. The
temperature when A and B are mixed is 16°C and when B
and C are mixed is 23°C, The temperature when A and C
are mixed is
(a) 18.2°C (b) 22°C (c) 20.2°C (d) 25.2°C
Q.12 50 gm of copper is heated to increase its temperature by
10°C. If the same quantity of heat is given to 10 gm of
water, the rise in its temperature is (Specific heat of copper
= 420 Joule-kg
–1
°C
–1
)
(a) 5°C (b) 6°C (c) 7°C (d) 8°C
Q.13 A beaker contains 200 gm of water. The heat capacity of
the beaker is equal to that of 20 gm of water. The initial
temperature of water in the beaker is 20°C. If 440 gm of
hot water at 92°C is poured in it, the final temperature
(neglecting radiation loss) will be nearest to
(a) 58°C (b) 68°C (c) 73°C (d) 78°C
Q.14 One calorie is defined as the amount of heat required to
raise temperature of 1g of water by 1°C and it is defined
under which of the following condition
(a) From 14.5°C to 15.5°C at 760 mm of Hg
(b) From 98.5°C to 99.5°C at 760 mm of Hg
(c) From 13.5°C to 14.5°C at 76 mm of Hg
(d) From 3.5°C to 4.5°C at 76 mm of Hg
Q.15 A bullet moving with a uniform velocity v, stops suddenly
after hitting the target and the whole mass melts be m,
specific heat S, initial temperature 25°C, melting point
475°C and the latent heat L. Then v is given by
(a) 
2
1
(475 25) .
2
mv
mL mS
J
= -+
(b) 
2
(475 25)
2
mv
mS mL
J
- +=
(c) 
2
(475 25)
mv
mS mL
J
- +=
(d) 
2
(475 25)
2
mv
mS mL
J
- -=
DPP/ P 22
3
Q.16 A stationary object at 4°C and weighing 3.5 kg falls from a
height of 2000 m on a snow mountain at 0°C. If the
temperature of the object just before hitting the snow is
0°C and the object comes to rest immediately? (g = 10m/
s
2
 and latent heat of ice = 3.5 × 10
5
 joule/sec), then the
object will melt
(a) 2 kg of ice (b) 200 gm of ice
(c) 20 gm of ice (d) 2 gm of ice
Q.17Density of a substance at 0°C is 10 gm/cc and at 100°C,
its density is 9.7 gm/cc. The coefficient of linear expansion
of the substance will be
(a) 10
2
(b) 10
–2
(c) 10
–3
(d) 10
–4
Q.18The real coefficient of volume expansion of glycerine is
0.000597 per °C and linear coefficient of expansion of
glass is 0.000009 per°C. Then the apparent volume
coefficient of expansion of glycerine is
(a) 0.000558 per°C (b) 0.00057 per°C
(c) 0.00027 per°C (d) 0.00066 per°C
Q.19A constant volume gas thermometer shows pressure
reading of 50 cm and 90 cm of mercury at 0°C and 100°C
respectively. When the pressure reading is 60 cm of
mercury, the temperature is
(a) 25°C (b) 40°C (c) 15°C (d) 12.5°C
Q.20 A student takes 50gm wax (specific heat = 0.6 kcal/kg°C)
and heats it till it boils. The graph between temperature and
time is as follows. Heat supplied to the wax per minute and
boiling point are respectively.
1 23 45 6 7 8
0
50
150
200
250
100
Time (Minute)
Temperature (°C)
(a) 500 cal, 50°C (b) 1000 cal, 100°C
(c) 1500 cal, 200°C (d) 1000 cal, 200°C
DIRECTIONS (Q.21-Q.23) : In the following questions,
more than one of the answers  given are correct. Select the
correct answers and mark it according to the following
codes:
Codes :
(a) 1, 2 and 3 are correct (b) 1 and 2 are correct
(c) 2 and 4 are correct (d) 1 and 3 are correct
Q.21 Heat is supplied to a certain homogenous sample of matter,
at a uniform rate. Its temperature is plotted against time,
as shown. Which of the following conclusions can be
drawn?
Time
Temperature
(1) Its specific heat capacity is greater in the liquid state
than in the solid state
(2) Its latent heat of vaporization is greater than its latent
heat of fusion
(3) Its specific heat capacity is greater in the solid state
than in the liquid state
(4) Its latent heat of vaporization is smaller than its latent
heat of fusion
Q.22A bimetallic strip is formed out of two identical strips,
one of copper and other of brass. The coefficients of linear
expansion of the two metals are 
CB
a anda . On heating,
the temperature of the strip goes up by DT and the strip
bends to form an arc of radius of curvature R. Then R is
(1) inversely proportional to DT
(2) proportional to 
BC
aa -
(3) inversely proportional to 
BC
aa -
(4) proportional to DT
Q.23 A bimetallic strip is heated. Choose wrong statements.
(1) does not bend at all
(2) gets twisted in the form of an helix
(3) bends in the form of an arc with the more expandable
metal inside.
(4) bend in the form of an arc with the more expandable
metal outside
4
DPP/ P 22
DIRECTIONS (Q.24-Q.26) : Read the passage given below
and answer the questions that follows :
In a thermally insulated tube of cross sectional area 4cm
2
 a liquid
of thermal expansion coefficient 10
–3
K
–1
 is flowing.  Its
velocity at the entrance is 0.1 m/s. At the middle of the tube a
heater of a power of 10kW is heating the liquid. The specific
heat capacity of the liquid is 1.5 kJ/(kg K), and its density is
1500 kg/m
3
 at the entrance.
Q.24 The rise in temperature of the liquid as it pass through the
tube is
(a)
1000
C
9
° (b)
1
C
9
° (c)
500
C
9
° (d) None
Q.25 What is the density of liquid at the exit ?
(a) 1450 kg/m
3
(b) 1400 kg/m
3
(c) 1350 kg/m
3
(d) None of these
Q.26 How much bigger is the volume rate of flow at the end of
the tube than at the entrance in cubic meters ?
(a) 9 × 10
–5
(b)
1
3
× 10
–5
(c)
4
9
 × 10
–5
(d) None
DIRECTIONS (Q. 27-Q.29) : Each of these questions contains
two statements: Statement-1 (Assertion) and Statement-2
(Reason). Each of these questions has four alternative choices,
only one of which is the correct answer. You have to select
the correct choice.
(a) Statement-1 is True, Statement-2 is True; Statement-2 is a
correct explanation for  Statement-1.
(b) Statement-1 is True, Statement-2 is True; Statement-2 is
NOT a correct explanation for Statement-1.
(c) Statement -1 is False, Statement-2 is True.
(d) Statement -1 is True, Statement-2 is False.
Q.27 Statement-1 : Fahrenheit is the smallest unit measuring
temperature.
Statement-2 : Fahrenheit was the first temperature scale
used for measuring temperature.
Q.28 Statement-1 : A brass disc is just fitted in a hole in a steel
plate. The system must be cooled to loosen the disc from
the hole.
Statement-2 : The coefficient of linear expansion for brass
is greater than the coefficient of linear expansion for steel.
Q.29Statement-1 : Latent heat of fusion of ice is
336000 J kg
–1
.
Statement-2 : Latent heat refers to change of state without
any change in temperature.