Jee 2014 Booklet4 Hwt Properties of Matter
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Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [1]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
An aluminium sphere of 20 cm diameter is heated from 0C to 100C . Its volume changes by (given that coefficient of linear expansion for aluminium Al 23 106 / C (A) 28.9 cc (B) 2.89 cc
2.
3.
(C)
9.28 cc
On heating, the temperature at which water has minimum volume is: (A) 0C (B) 4C (C) 4K
(D)
49.8 cc
(D)
100C
A lead bullet strikes against a steel plate with a velocity 200 m/s. If the impact is perfectly inelastic and the heat produced is equally shared between the bullet and the target, then the rise in temperature of the bullet is (specific heat capacity of lead 125 Jkg 1K 1 )
(A) 4.
80C
(B)
60C
40C
(C)
(D)
120C
2kg of ice at 20C is mixed with 5kg of water at 20C 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 while the latent heat of fusion of ice is 80 kcal kg 1 . (A)
5.
6.
7 kg
(B)
2 kg
(C)
4 kg
(D)
2 kg
Three rods made of same material and having same cross-section are joined as shown in the figure. Each rod is of same length. The temperature at the junction of the three rods is : (A)
45C
(B)
90C
(C)
30C
(D)
60C
Two identical conducting rods are first connected independently to two vessels, one containing water at 100C and the other containing ice at 0C . In the second case, the rods are joined end to end and connected to the same vessels. Let q1 and q2 gs 1 be the rate of melting of ice in the two cases respectively. The ratio (A)
7.
1 2
(B)
2 1
q1 is : q2
(C)
4 1
(D)
1 4
Which one of the following is vm T graph for perfectly black body? vm is the frequency of radiation with maximum intensity, T is the absolute temperature: (A) D (B) C (C) B (D) A
VMC/Properties of Matter
57
HWT/Physics
Vidyamandir Classes 8.
Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature t C , the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is: (A)
4 r 2 t 4
(B)
r 2 t 273
R2 [where is the Stefan’s constant] 9.
4 R 2
4
(C)
16 2r 2 t 4 R2
r 2 t 273
(D)
4
R2
A work of 2 102 J is done on a wire of length 50cm and area of cross-section 0.5mm . If the Young’s modulus of the 2
material of the wire is 2 1010 Nm 2 , then the wire must be: (A) (C) 10.
elongated to 50.1414 cm stretched by 0.707 mm
(B) (D)
contracted by 2.0 mm of length changed to 49.293 cm
If S is strees and Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is: (A)
2S 2Y
VMC/Properties of Matter
(B)
S2 2Y
(C)
2Y S
58
2
(D)
S 2Y
HWT/Physics
Vidyamandir Classes
DATE :
MARKS : 10
IITJEE :
NAME :
TIME : 25 MINUTES
TEST CODE : POM [2]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. However, questions marked with ‘*’ may have More than One correct option. 1.
A metal rod of Young’s modulus and coefficient of thermal expansion is held at its two ends such that its length remains invariant. If its temperature is raised by t C , the linear stress developed in it is: t I t (A) (B) (C) (D) E t
2.
A clock which keeps correct time at 20C , is subjected to 40C . If coefficient of linear expansion of the pendulum is
12 106 C 1 . How much will it gain or lose time? (A) 3.
10.3 s day 1
(B)
20.6 s day 1
(C)
5 s day 1
(D)
20 min day 1
A piece of ice (heat capacity 2100 Jkg 1 C 1 and latent heat = 3.36 105 Jkg 1 ) of mass m gram is at 5C at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice-water mixture is equilibrium, it is found that 1 g of ice has melted. Assuming there is no other heat exchange in the process, the value of m is: (A) 8 (B) 6 (C) 4 (D) 8.5
4.
1 g of steam at 100C and equal mass of ice at 0C are mixed. The temperature of the mixture in steady state will be (latent heat of steam 540ca lg 1 , latent heat of ice 80ca lg 1 ) (A) 50C (B) 100C
5.
(C)
67C
(D)
33C
A conductor of area of cross-section 100 cm and length 1cm has coefficient of thermal conductivity 0.76 cal s 1 m 1K 1 . 2
If 30 cal of heat flows through the conductor per second. Find the temperature difference across the conductor. (A) 40C (C) 20C (C) 30 (D) 35C 6.
Two spheres of radii 8 cm and 2cm are cooling. Their temperatures are 127C and 527C respectively. Find the ratio of energy radiated by them in the same time. (A) 0.006 (B)
0.5
(C)
1
(D)
2
7.
Two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperatures T1 and T2 respectively. The maximum intensity in the emission spectrum of A is a 500 nm and in that of B is at 1500 nm. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by A to that to B? (A) 9 (B) 9.5 (C) 8 (D) 8.5
8.
The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied? (A) L = 400 cm, r = 0.8 mm (B) L = 300 cm, r = 0.6 mm (C) L = 300 cm, r = 0.6 mm (D) L = 100 cm, r = 0.2 mm
VMC/Properties of Matter
59
HWT/Physics
Vidyamandir Classes 9.
A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and same material, but double in diameter, is: (A) 200 N (B) 400 N (C) 600 N (D) 800 N
10.
Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the total radiant power, incident on earth, at a distance r from the sun (A)
4 r02 R 2 T 4 / r 2
(B)
r02 R 2 T 4 / r 2
(C)
r02 R 2 T 4 / 4 r 2
(D)
R 2 T 4 / r 2
Where r0 is the radius of the earth and is Stefan’s constant.
VMC/Properties of Matter
60
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [3]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. However, questions marked with ‘*’ may have More than One correct option. 1.
Which curve shows the rise of temperature with the amount of heat supplied, for a piece of ice?
(A) 2.
A
(B)
B
(C)
C
(D)
D
A wire 3 m length and 1 mm in diameter at 30C is kept in a low temperature at 170C and stretched by hanging a weight of 10kg at one end. The change in length of the wire is ( Y 2 1011 Nm 2 g 10ms 2 and 1.2 105C 1 ): (A)
3.
5.2 mm
(B)
2.5 mm
(C)
52 mm
(D)
25 mm
An experiment takes 10 min to rise temperature of water from 0C and 100C and another 55 min to convert it totally into steam by a stabilized heater. The latent heat of vaporization comes out to be: (A)
530 ca lg 1
(B)
540ca lg 1
(C)
550ca lg 1
(D)
560ca lg 1
4.
A composite block is made slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of length L) as shown in the figure. All slabs are of same width. Heat Q flows only from left to right through the block. Then in steady state. (A) heat flow through A and E slabs are same (B) heat flow through slab E is maximum (C) temperature difference across slab E is smallest (D) heat flow through C = heat flow through B + heat flow through D
5.
Which of the following circular rods. (given radius r and length l) each made of the same material as whose ends are maintained at the same temperature will conduct most heat? (A) (B) (C) (D) r 2r0 l 2l0 r 2r0 l l0 r r0 l l0 r r0 l 2l0
6.
A black body at a temperature of 227C radiates heat at the rate of 5 cal cm 2 s 1 . At a temperature of 727C the rate of heat radiated per unit area in cal cm 2 s 1 is : (A) 400 (B) 80
VMC/Properties of Matter
(C)
61
40
(D)
15
HWT/Physics
Vidyamandir Classes 7.
Hot water cools from 60C to 50C in the first 10 min and to 42C in the next 10 min. Then the temperature of the surrounding is: (A)
8.
20C
(B)
30C
(C)
15C
(D)
10C
A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its cross – sectional area
4.9 107 m 2 . If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular released, it performs simple harmonic motion on angular frequency 140 rad s 1 . If the Young’s modulus of l the material of the wire is n 109 Nm 2 , the value of n is: (A) 4 (B) 2 9.
4.5
(D)
5
A cube of sise 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN. The shearing modulus of cube is : (A)
10.
(C)
2 109 Nm 2
(B)
4 109 Nm 2
(C)
8 109 Nm 2
(D)
16 109 Nm 2
The surface area of a black body is 5 104 m 2 and its temperature is 727C . The energy radiated by it per minute is ( 5.67 108 Jm 2 s 1 k 4 ) (A)
1.7 103 J
VMC/Properties of Matter
(B)
2.5 102 J
(C)
62
8 103 J
(D)
3 104 J
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [4]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
The coefficient of volume expansion of a liquid is 49 105 K 1 . Calculate the fractional change in its density when the temperature is raised by 30C (A)
2.
7.5 103
(B)
3.0 103
(C)
1.5 102
(D)
1.1 103
The temperature of a thin uniform circular disc, of one meter diameter is increased by 10C . The percentage increase in moment of inertia of the disc about an axis passing through its centre and perpendicular to the circular face (linear coefficient of expansion = 11 106 C 1 ): (A)
3.
0.0055
(B)
0.011
(C)
0.022
(D)
0.044
The temperature of equal masses of three different liquids A, B and C are 12C , 19C and 28C respectively. The temperature when A and B are mixed is 16C and when B and C are mixed is 23C . The temperature when A and C are mixed is: (A)
18.2C
(B)
22C
(C)
20.2C
(D)
24.2C
4.
Three identical rods A, B and C are placed end to end. A temperature difference is maintained between the free ends of A and C. The thermal conductivity of B is thrice that of C and half of that of A. The effective thermal conductivity of the system will be (KA is the thermal conductivity of rod A) 3 1 KA KA (A) (B) 2 KA (C) 3 KA (D) 2 3
5.
The end A a rod AB of length 1 m is maintained at 100C and the end B 10C The temperature at a distance of 60 cm from the end B is: (A) 64C (B) 36C (C) 46C (D) 72C
6.
T A black body at a high temperature T radiates energy at the rate of U (in Wm 2 ). When the temperature falls to half ie , 2
the radiated energy (in Wm 2 ) will be: (A)
7.
(B)
U 16
(C)
U 4
(D)
U 2
A body initially at 80C cools to 64C in 5 min and to 52C in 10 min. The temperature of the surrounding is: (A)
8.
U 8
26C
(B)
16C
(C)
36C
(D)
40C
A rope 1 cm in diameter breaks, if the tension in it exceeds 500 N. The maximum tension that may be given to similar rope of diameter 3 cm is: (A) 500 N (B) 3000 N (C) 4500 N (D) 2000 N
VMC/Properties of Matter
63
HWT/Physics
Vidyamandir Classes 9.
Compressibility of water is 5 1010 m 2 N (A) (C)
10.
2
. Then change in volume of 100 mL water subjected to 15 106 Pa pressure will:
no change decrease by 1.50 mL
(B) (D)
increase by 0.75 mL decrease by 0.75 mL
The energy stored per unit volume in copper wire, which produces Longitudinal strain of 0.1% is ( Y 1.1 1011 Nm 2 ) (A)
11 103 Jm 3
VMC/Properties of Matter
(B)
5.5 103 Jm 3
(C)
64
5.5 104 Jm 3
(D)
11 104 Jm 3
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [5]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
Two uniform brass rods A and B of length l and 2l and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is : (A) 1:1 (B) 1:2 (C) 2:1 (D) 1:4
2.
A brass rod of length 500 mm and diameter 3 mm is joined to a steel rod of same length and diameter at 50C . If the coefficients of linear expansion of brass and steel are 2.5 105 C 1 and 1.25 105C 1 , then change in length of the combined rod at
200C is: (A) 2.4 mm 3.
(B)
2.8 mm
(C)
3.2 mm
(D)
2.0 mm
A copper block of mass 4 kg is heated in a furnance to a temperature 425C and then placed on a large ice block. The mass of ice that will melt in this process will be (Specific heat of copper 500 J kg 1C 1 and heat of fusion of ice = 336 kJ kg 1 ) (A)
4.
0.5 kg
(B)
1 kg
(C)
1.5 kg
(D)
2.5 kg
1.56 105 J heat is conducted through is 2m2 wall of 12 cm thick in one hour. Temperature difference between the two sides of the wall is 20C the thermal conductivity of the material of the wall is (in Wm 1 K 1 ) (A)
5.
6.
0.11
(B)
0.13
(C)
0.15
(D)
1.2
One end of a thermally insulated rod is kept at a temperature T1 and the other at T2. The rod is composed of two sections of length l1 and l2 and thermal conductivities K1 and K2 respectively. The temperature at the interface of the two section is: (A) (K2l2T1 + K1l1T2) / (K1l1 + K2l2) (B) (K2l1T1 + K1l2T2) / (K2l1 + K1l2) (C) (K1l2T1 + K2l1T2) / (K1l2 + K2l1) (D) (K1l1T1 + K2l2T2) / (K1l1 + K2l2) The wavelength m 5.5 107 m when temperature of sun is 5500 K. If the furnace has wavelength m equal to 11 107 m , then temperature of furnace is : (A) 5000 K (B)
1750 K
(C)
3750 K
(D)
2750 K
7.
The amount of heat energy radiated by a metal at temperature T is E. When the temperature is increased to 3T, energy radiated is: (A) 81 E (B) 9E (C) 3E (D) 27 E
8.
A solid sphere of radius R made up of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is: (A)
Mg AK
VMC/Properties of Matter
(B)
Mg 3 AK
(C)
65
3Mg AK
(D)
Mg 2 AK
HWT/Physics
Vidyamandir Classes 9.
A rod of length l and radius r is joined to a rod of length
l r are radius of same material. The free end of small rod is fixed to a 2 5
rigid base and the free end of large rod is given a twist of , the twist angle at the joint will be : (A)
10.
4
(B)
2
(C)
5 6
(D)
8 9
Two solid spheres A and B made of the same material have radii rA and rB respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton’s law of cooling. The ratio of the rate of change of temperature of A and B is : (A)
rA rB
VMC/Properties of Matter
(B)
rB rA
(C)
66
rA2 rB2
(D)
rB2 rA2
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [6]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
A bimetallic strip consists of metals X and Y. It is mounted rigidly at the base as shown. The metal X has a higher coefficient of expansion compared to that for metal Y. When bimetallic strip is placed in a cold bath: (A) It will bend towards the right (B) It will bend towards the left (C) It will not bend but shrink (D) It will neither bend nor shrink
2.
Two rods of different materials having coefficients of thermal expansions 1 and 2 and Yount’s moduli Y1 and Y2 respectively are fixed between two rigid walls. The rods are heated, such that they undergo the same increase in temperature. There is no Y bending of rods. If 1 / 1 2 / 3 and stresses developed in the two rods are equal, then 1 is : Y2 (A) 3/2 (B) 1 (C) 2/3 (D) 1/2
3.
A block of ice at 10C is slowly heated and converted to steam at 100C . Which of the following curves represents this phenomenon qualitatively?
(A)
4.
K11 K 2 2 1 1
(D)
(B)
K11 K 2 2d 2 K1d 2 K 2d1
(C)
K11d 2 K1 2d1 (D) K1d 2 K 2d1
K11 K 2 2 K1 K 2
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x, respectively are T2 and T1(T2 > T1). The rate of heat transfer through the slab, in a A T2 T1 K steady state is x (A) 1
6.
(C)
Two slabs are of the thickness d1 and d2. Their thermal conductivities are K1 and K2 respectively, these two slabs are kept at temperature 1 and 2 . Assume 1 2 The temperature of their common junction is: (A)
5.
(B)
f , with f equals to : (B) 1/2
(C)
2/3
(D)
1/3
Three objects coloured black, gray and white can with stand hostile conditions at 2800C . These objects are thrown into furnance where each of them attains a temperature of 2000C . Which object will glow brightest? (A) The white object (B) The black object (C) All glow with equal brightness (D) Gray object
VMC/Properties of Matter
67
HWT/Physics
Vidyamandir Classes 7.
The intensity of radiation emitted by the sun has its maximum value at a wavelength of 510 nm and that emitted by the north start has the maximum value at wavelength of 350 nm. If these stars behave like black bodies, then the ratio of surface temperatures of the sun and north start is: (A) 1.46 (B) 0.69 (C) 1.21 (D) 0.83
8.
The increase in pressure required to decrease the 200 L volume of a liquid by 0.008% in kPa is (Bulk modulus of the liquid = 2100 MPa is) (A) 8.4 (B) 84 (C) 92.4 (D) 168
9.
The Young’s modulus of the material of a wire is 2 1010 Nm 2 . If the elongation strain is 1% , then the energy stored in the wire per unit volume in Jm 3 is: (A)
10.
106
(B)
108
(C)
2 106
(D)
2 108
Three discs, A, B and C having radii 2 m, 4 m and 6 m respectively are coated with carbon black on their outer surfaces. The wavelength corresponding to maximum intensities are 300 nm, 400 nm and 500 nm respectively. The power radiated by them are QA, QB and QC respectively. (A) QA is maximum (B) QB is maximum (C) QB is maximum (D) QA = QB = QC
VMC/Properties of Matter
68
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [7]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. However, questions marked with ‘*’ may have More than One correct option. 1.
There is some change in length when a 33000 N tensile force is applied on a steel rod of area of cross-section 103 m 2 . The change of temperature required to produce the same elongation, if the steel rod is heated, is (The modulus of elasticity is 3 1011 Nm 2 and the coefficient of linear expansion of steel is 1.1 105 C 1 : (A)
2.
(B)
15C
10C
(C)
(D)
0C
The volume of a metal sphere increase by 0.24% when its temperature is raised by 40C . The coefficient of linear expansion of the metal is ….. / C . (A)
3.
20C
2 105
(B)
6 105
18 105
(C)
(D)
1.2 105
Water of volume 2L in a container is heated with a coil of 1 kW at 27C . The lid of the container is open and energy dissipates at rate of 160 Js 1 . In how much time temperature will rise from 27C to 77C [Given specific heat of water is 4.2 kJ kg 1 ] (A)
4.
8 min 20 s
(B)
6 min 2 s
(C)
7 min
14 min
Two rods of equal length and area of cross-section are kept parallel and hanged between temperature 20C and 80C . The ratio of the effective thermal conductivity to that of the first rod is (the ratio = (A)
5.
(D)
7:4
(B)
7:6
(C)
An ice box made of Styrofoam (Thermal conductivity = 0.01 Jm
K1 3 ) K2 4 4:7
1 1 1
s K
(D)
7:8
) is used to keep liquids cool. It has a total wall area
2
including lid of 0-.8 m and wall thickness of 2.0 cm. A bottle of water is placed in the box and filled with ice. If the outside temperature is 30C the rate of flow of heat into the box is (in Js 1 ) (A) 16 (B) 14 (C) 12 6.
An ideal black body at room temperature is shown into a furnance. It is observed that : (A) It is darkest body at all time (B) it cannot be distinguished at all times (C) initially it is the darkest body and later it becomes brightest (D) Initially it is the darkest body and later it cannot be distinguished
7.
The plots of intensity of radiation versus wavelength of three black bodies at temperature T1, T2 and T3 are shown. Then, (A) T3 T2 T1 (C)
T1 T2 T3 T2 T3 T1
(D)
T1 T3 T2
(B)
VMC/Properties of Matter
69
(D)
10
HWT/Physics
Vidyamandir Classes 8.
A 5 m long aluminium wire ( Y 7 1010 N 2 ) of diameter 3mm supports a 40 kg mass. In order to have the same elongation in the copper wire ( Y 12 102 Nm 2 ) of the same length under the same weight, the diameter should now be (in mm) (A)
1.75
(B)
1.5
(C)
2.3
(D)
5.0
9.
A wire of nature length l, Young’s modulus Y and area of cross-section A is extended by x. Then the energy stored in the wire is given by : 1 YA 2 1 YA 2 1 Yl 2 1 YA 2 x x x (A) (B) (C) (D) x 2 l 3 l 2 A 2 l2
10.
A black body of mass body of mass 34.38g and surface area 19.2cm2 is at an initial temperature of 400 K. It is allowed to cool inside an evacuated enclosure kept at constant temperature 300 K. The rate of cooling is 0.04Cs 1 . The specific heat of the body in J kg 1K 1 is (Stefan’s constant 573 108 Wm 2 K 4 ) (A)
2800
VMC/Properties of Matter
(B)
2100
(C)
70
1400
(D)
1200
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [8]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
A solid ball of metal has a concentric spherical cavity within it. If the ball is heated, the volume of the cavity will: (A) increase (B) decrease (C) remain unaffected (D) None of these
2.
A metallic solid sphere is rotating about its diameter as axis of rotation. If the temperature is increased by 200C , the percentage increase in its moment of inertia is (Coefficient of linear expansion of the metal = 105 C 1 ) (A)
3.
0 .1 %
(B)
0 .2 %
(C)
0 .3 %
(D)
0 .4 %
Calorie is defined as the amount of heat required to raise temperature of 1 g of water by 1C and it is defined under which of the following conditions? (A) From 14.5C to 15.5C at 760 mm of Hg (B) From 98.5 to 99.5C at 760 mm of Hg (C)
From 13.5 to 14.5C at 76 mm of Hg
(D)
From 3.5C to 4.5C at 76 mm of Hg
4.
Two rods of the same length and diameter having thermal conductivities K1 and K2 are joined in parallel. The equivalent thermal conductivity of the combination is : K1K 2 K1K 2 K1 K 2 (A) (B) (C) (D) K1 K 2 2 K1 K 2
5.
Consider a compound also consisting of two different materials having equal length, thickness and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is: 4 2 K K (A) (B) 3K (C) (D) 2K 3 3
6.
A body has same temperature as that of the surrounding. Then : (A) It radiates same heat as it absorbs (B) (C) It radiates more, absorbs less heat (D)
it absorbs more, radiates less heat it never radiates heat
7.
Two circular discs A and B with equal radii are blackned. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves? (A) A and B have same specific heats (B) Specific heat of A is less (C) Specific heat of B is less (D) Nothing can be said
8.
A copper rod of length L and radius r is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when and Y are the density and Young’s modulus of the copper respectively ? (A)
gL2 2Y
VMC/Properties of Matter
(B)
gL2 2Y
(C)
71
2 g 2 L2 2Y
(D)
gL 2Y
HWT/Physics
Vidyamandir Classes 9.
When a force is applied on a wire of uniform cross – sectional aea 3 106 m 2 and length 4m , the increase in length is 1mm.
Energy stored in it will be Y 2 1011 N / m 2 . (A) 10.
6250 J
(B)
0.177 J
(C)
0.075 J
(D)
0.150 J
If Young’s modulus of elasticity Y for a material is one and half times its rigidity coefficient , the Poisson’s ratio will be: (A)
2 3
VMC/Properties of Matter
(B)
1 4
(C)
72
1 4
(D)
2 3
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [9]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
2.
By increasing the temperature of a liquid its: (A) volume and density decrease (C) volume increases and density decrease
(B) (D)
volume and density increase volume decrease and density increases
Two rods, one of aluminium and the other made of steel, having initial length l1 and l2 are connected together to form a single rod of length l1 l2 . The coefficients of linear expansion for aluminium and steel are a and s respectively. If the length of each rod increases by the same amount when their temperature raised by t C , the find the radio (A)
s a
(B)
a s
(C)
s a s
l1 l1 l2
(D)
a a s
3.
The following figure represents the temperature versus time plot for a given amount of a substance when heat energy is supplied to it at a fixed rate and at a constant pressure. Which parts of the above plot represent a phase change? (A) a to b and e to f (B) b to c and c to d (C) d to e and e to f (D) b to c and d to e
4.
Two slabs A and B of equal surface area are placed one over the other such that their surfaces are completely in contact. The thickness are completely in contact. The thickness of slab A is twice that of B. The coefficient of thermal conductivity of slab A is twice that of B. The first surface of slab A is maintained at 100C , while the second surface of slab B is maintained at 20C . The temperature at the contact of their surfaces is: (A) 62.5C (B) 45 (C) 55C (D) 85C
5.
The figure shows a system of two concentric spheres of radii r1 and r2 and kept at temperatures T1 and T2 respectively. The radial rate of flow of heat in a substance between the two concentric spheres, is proportional to :
6.
(A)
r2 r1 r1r2
(B)
r ln 2 r1
(C)
r1r2 r2 r1
(D)
r2 r1
The graph, shown in the adjacent diagram, represents the variation of temperature (T) of two bodies, x and y having same surface area with time (t) due to the emission of radiation. Find the correct relation between the emissivity and absorptive power of the two bodies. (A) E x E y and a x a y (B) E x E y and a x a y (C)
E x E y and a x a y
VMC/Properties of Matter
(D)
73
E x E y and a x a y
HWT/Physics
Vidyamandir Classes 7.
A cane is taken out from a refrigerator at 0C . The atmospheric is 25C . If t1 is the time taken to heat form 0C to 5C and t2 is the time taken from 10C to 15C then: (A)
8.
10.
(B)
t1 t2
(C)
t1 t2
(D)
There is no relation
The length of a rubber cord is l1 metre when the tension is 4N and l2 meter when the tension is 6N. The length when the tension is 9N, is: (A)
9.
t1 t2
2.5l2 1.5 l1 m
(B)
6l2 1.5l1 m
(C)
3l2 2l1 m
(D)
3.5l2 2.5l1 m
The elastic energy stored in a wire of Young’s modulus Y is: (A)
1 Y × stess× strain × volume 2
(B)
(C)
stress × strain × volume
(D)
stress 2 × volume 2Y Y×
stress 2 volume
The wavelength of maximum energy, released during an atomic explosion was 2.93 1010 m . Given that the Wien’s constant is
2.93 103 m-K, the maximum temperature attained must be of the order of : (A)
107 K
VMC/Properties of Matter
(B)
107 K
(C)
74
103 K
(D)
5.86 107 K
HWT/Physics
Vidyamandir Classes
DATE :
IITJEE :
NAME :
MARKS : 10
TIME : 25 MINUTES
TEST CODE : POM [10]
ROLL NO.
START TIME :
STUDENT’S SIGNATURE :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 10 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
Which one of the figure gives the temperature dependence of density of water correctly?
(A)
2.
(B)
(C)
(D)
The densities of a liquid at 0C and 100C are respectively 1.0127 and 1. A specific gravity bottle is filled with 300 g of the liquid at 0C upto the brim and it is heated to 100C . Then the mass of the liquid expelled in grams is (Coefficient of linear expansion of glass 9 106 C 1 ) (A)
3 10.1
(B)
3 1.01
(C)
3.81 1.0127
(D)
3.81 0.0127
3.
5g of ice at 0C is dropped in a beaker containing 20 g of water at 40°C. The final temperature will be: (A) 32C (B) 16C (C) 8C (D) 24C
4.
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel? (A) 75C (B) 67C (C) 25C (D) 33C
5.
One end of a metal rod of length 1.0 m and area of cross-section 100cm2 is maintained at 100C . If the other end of the rod is maintained at 0C , the quantity of heat transmitted through the rod per minute is (coefficient of thermal conductivity of material of rod = 100 W / m K ) (A)
3 103
(B)
6 103 J
(C)
9 103 J
(D)
12 103 J
6.
The quantities of heat required to raise the temperatures of two copper spheres of radii r1 and r2 (r1 = 1.5 r2) through 1 K are in the ratio of : 3 9 27 (A) 1 (B) (C) (D) 2 4 8
7.
Wien’s displacement law for emission of radiation can be written as (A) max is proportional to absolute temperature (T) (B)
max is proportional to square of absolute temperature (T2)
(C)
max is inversely proportional to absolute temperature (T3)
(D)
max is inversely proportional to square of absolute temperature (T2)
VMC/Properties of Matter
75
HWT/Physics
Vidyamandir Classes 8.
The volume of a metal sphere increase by 0.24% when its temperature is raised by 40C . The coefficient of linear expansion of the metal is ….. / C . (A)
2 105
(B)
6 105
(C)
18 105
(D)
1.2 105
9.
A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is: (A) 0.2 J (B) 10 J (C) 20 J (D) 0.1 J
10.
Solar radiation emitted by sun correspond to that emitted by black body at a temperature of 6000 K. Maximum intensity is emitted at wavelength of 4800 Å . If the sun was to cool down from 6000 K to 3000 K , then the peak intensity of emitted radiation would occur at a wavelength (A) 4800 Å
VMC/Properties of Matter
(B)
9600 Å
(C)
76
2400 Å
(D)
19200 Å
HWT/Physics
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