15
Time : 3 hours Max. Marks : 720
Important Instructions:
1. There are 180 questions in this test
2.Each question caries 4 marks. For each correct response, the candidate will get 4 marks. For every wrong response
1 mark shall be deducted from the total score. Unanswered/Unattempted questions will be given no marks.
3. Use Blue/Black Ball point pen any for writing particulars on this page/marking responses.
4. Use of Electronic/Manual calculator is prohibited.
PHYSICS
Q. 4. A body of mass m rises to height h =R
5
from the Earth’s surface, where R is Earth’s
Q. 1. The radii of circular orbits of two satellites
radius. If g is the acceleration due to gravity
A and B of the Earth, are 4R and R, at Earth’s surface, the increase in potential
respectively. If the speed of satellite A is 3V, energy is:
then the speed of satellite B will be: 4
(a) mgh (b) 5mgh
(a) 3V/4 (b) 6V
(c) 12V (d) 3V/2
5 (d)6
Q. 2. A polaroid is placed at 45° to an incoming (c) 6mgh 7mgh
light of intensity I0. Now the intensity
Q. 5. A galvanometer has a coil of resistance
of light passing through polaroid after
100 ohm and gives a full scale deflection for
polarization would be :
30 mA current. If it is to work as a voltmeter
(a) I0 (b) I0/2
of 30 volt range, the resistance required to
(c) I0/4 (d) Zero be added will be :
Q. 3. If the mass of Sun were ten times smaller
(a) 900 Ω (b) 1800 Ω
and the universal gravitational constant (c) 500 Ω (d) 1000 Ω
were ten times larger in magnitude, then
Q. 6. Three blocks A, B and C, of masses 4 kg,
which of the following is not correct?
2 kg and 1 kg respectively, are in contact on
(a) Time period of a simple pendulum on a frictionless surface, as shown. If a force of
the Earth would decrease.
14 N is applied on the 4 kg block, then the
(b) Walking on the ground would become contact force between A and B is :
more difficult.
(c) Raindrops will fall faster.
A B
(d) ‘g’ on the Earth will not change. C
, (a) 18 N (b) 2 N (c) 2550 W in series
(c) 6 N (d) 8 N (d) 2450 W in series
Q. 7. If x longitudinal strain is produced in a wire Q. 14. The given electrical network is equivalent to:
of Young’s modulus y, then energy stored
per unit volume in the material of the wire is: A Y
(a) yx2 (b) 2yx2 B
(d)12yx2 (a) AND gate (b) OR gate
(c) 2y2x
(c) NOR gate (d) NOT gate
Q. 8. For a series LCR circuit, the power loss at Q. 15. A conducting circular loop is placed in a
resonance is: uniform magnetic field 0.04 T with its plane
V2 perpendicular to the direction of magnetic
(a) 1 (b) I2Cω field. The radius of the loop starts shrinking
ωL − at 2 mm/s. The induced emf in the loop
ωC
when the radius is 2 cm is:
V2
(c) I2R (d) (a) 4.8π μV (b) 0.8π μV
ωC
(c) 1.6π μV (d) 3.2π μV
Q. 9. If a block moving up an inclined plane
Q. 16. An astronaut orbiting the Earth in a circular
inclined at an angle, q = 30° with a velocity orbit of radius 120 km above the surface of
5 m/s, stops after 0.5 sec, then m is:
Earth, gently drops a spoon out of his space-
(a) 0.5 (b) 1.25 ship. The spoon will:
(c) 0.6 (d) none of these
(a) fall vertically down to the Earth.
Q. 10. When air in a capacitor is replaced by (b) move towards the Moon.
a medium of dielectric constant K, the (c) move along with the space-ship.
capacity: (d) move in an irregular way then fall down
(a) Decreases K times to the Earth.
(b) Increases K times Q. 17. Choose the correct statement from the
(c) Increases K2times following :
(d) Remains constant
The radius of the orbit of a geostationary
Q. 11. A long solenoid has 1000 turns. When a satellite depends upon:
current of 4 A flows through it, the magnetic
(a) mass of the satellite, its time period and
flux linked with each turn of the solenoid
is 4 × 10–3Wb. The self-inductance of the the gravitational constant.
(b) mass of the satellite, mass of the Earth
solenoid is:
and the gravitational constant.
(a) 4 H (b) 3 H (c) mass of the Earth, mass of the satellite,
(c) 2 H (d) 1 H time period of the satellite and the grav-
Q. 12. Potential energy of a satellite having mass itational constant.
‘m’ and rotating at a height of 6.4 × 106m (d) mass of the Earth, time period of the
from the Earth centre is: satellite and the gravitational constant.
(a) –0.5mgRe (b) –mgRe Q. 18. A magnet of magnetic moment M and pole
(c) –2mgRe (d) 4mgRe strength m is divided in two equal parts,
Q. 13. A galvanometer of 50 ohm resistance has then magnetic moment of each part will be:
25 divisions. A current of 4 × 10-4ampere (b)M
(a) M
gives a deflection of one division. To convert 2
this galvanometer into a voltmeter having M
(c) (d) 2M
a range of 25 volts, it should be connected 4
with a resistance of:
Q. 19. The voltage gain of an amplifier with 9%
(a) 2500 W as a shunt negative feedback is 10. The voltage gain
(b) 2450 W as a shunt without feedback will be :
, (a) 90 (b) 10 (d) a translational force only in a direction
(c) 1.25 (d) 100 normal to the direction of the field.
Q. 20. The temperature of sink of a Carnot engine Q. 26. An aeroplane moves 400 m towards north,
300 m towards west and then 1200 m
is 27°C. Efficiency of the engine is 25%. Then
temperature of source is : vertically upwards. Then its displacement
from the initial position is
(a) 227°C (b) 327°C
(a) 1300 m (b) 1400 m
(c) 127°C (d) 27°C
(c) 1500 m (d) 1600 m
Q. 21. The only force acting on a block is along Q. 27. If Planck’s constant (h), speed of light in vac
4 uum (c) and Newton’s gravitational constant
x-axis, given by F = – 2 N
. When the
x+2 (G) are the three fundamental constants.
block moves from x = – 2 m to x = 4 m, the Which of the following combinations of
change in kinetic energy of block is: these has the dimension of length?
(a) Positive hG
hG
(b) Negative (a) 3/2
(b) 52
c c
(c) Zero
hc Gc
(d) May be positive or negative (c) (d)
G h3 2
Q. 22. If the acceleration due to gravity at a height
1 km above the Earth is the same as at a Q. 28. The power radiated by a black body is
P and it radiates maximum energy at
depth d below the surface of Earth, then
wavelength λ0. If the temperature of
(a) d = 2 km (b) d = 1/2 km the black body is now changed so that it
(c) d = 1 km (d) d = 3/2 km radiates maximum energy at wavelength
Q. 23. From the following quantities, which one 3/4 λ0, the power radiated by it becomes
nP. The value of n is:
has dimension different from the remaining
three? (a) 3/4 (b) 4/3
(c) 256/81 (d) 81/256
(a) Energy per unit volume
Q. 29. If charge of 10 mC and –2 mC are given
(b) Force per unit area
to two plates of a capacitor which are
(c) Product of voltage and charge per unit connected across a battery of 12 V, then find
volume
the capacitance of the capacitor.
(d) Angular momentum (a) 0.33 mF (b) 0.5 mF
Q. 24. The coordinates of centre of mass of the (c) 0.41 mF (d) 0.66 mF
following quarter circular arc is: Q. 30. In the Davisson and Germer experiment,
r r 2r 2 r the velocity of electrons emitted from the
(a) (b)
2,2 3,3 electron gun can be increased by:
(a) increasing the potential difference
2r 2 r 4r 4 r between the anode and the filament.
(c) , (d) ,
π π π π (b) increasing the filament current.
Q. 25. An electric dipole is placed at an angle of 30° (c) decreasing the filament current.
to a non-uniform electric field. The dipole (d) decreasing the potential difference
between the anode and the filament.
experiences:
(a) a torque as well as a translational force. Q. 31. Two specific heats of a perfect gas are related
by:
(b) a torque only.
(a) CP – Cn = R/J (b) CP – Cn = J
(c) a translational force only in the direc-
tion of field. (c) CP – Cn = RJ (d) CP + 1/Cn = 2.4 cal
, Q. 32. When a particle is moving in a vertical circle, (c) maximum displacement and maximum
(a) its radial and tangential acceleration pressure change occur.
both are constant. (d) maximum displacement and minimum
(b) its radial and tangential acceleration pressure change occur.
both are varying. Q. 37. The angle of incidence of a ray of light at a
(c) its radial acceleration is constant but reflecting surface of an equilateral prism is
tangential acceleration is varying. 50°. If the ray suffers minimum deviation
(d) its radial acceleration is varying but tan- through the prism, the angle of minimum
gential acceleration is constant. deviation and refractive index of the material
Q. 33. The shortest wavelength of the Brackett of the prism respectively are (sin 50° = 0.7660)
series of a hydrogen like atom (atomic (a) 40° , 1.5 (b) 30°, 1.5
number = Z) is the same as the shortest (c) 40° , 1.6 (d) 30°, 1.6
wavelengthoftheBalmarseriesofhydrogen Q. 38. The displacement of a particle, moving in a
atom. The value of Z is: straight line, is given by s = 2t2+ 2t + 4
(a) 2 (b) 3 where s is in metres and t in seconds. The
(c) 4 (d) 6 acceleration of the particle is:
Q. 34. Which of the following is the correct (a) 2 m/s2 (b) 4 m/s2
statement about an object immersed in a (c) 6 m/s2 (d) 8 m/s2
liquid at rest and left free to move? Q. 39. 22 g of CO2 at 27°C is mixed with 16 g of
(a) Buoyancy force is equal to the weight of O2 at 37°C. The temperature of the mixture
the object. is:
(b) Centre of buoyancy coincides with the (a) 32°C (b) 27°C
centre of mass of the object. (c) 37°C (d) 30.5°C
(c) If the density of the object is equal to Q. 40. Velocity of light in glass whose refractive
the density of the liquid then the object index with respect to air is 1.5 is 2 × 108m/s
moves in the liquid with constant velocity. and in certain liquid the velocity of light is
(d) If the object sinks, then the weight of found to be 2.5 × 108m/s. The refractive
the displaced fluid is less than the force index of the liquid with respect to air is:
of buoyancy.
(a) 0.64 (b) 0.80
Q. 35. According to de-Broglie’s hypothesis, (c) 1.20 (d) 1.44
particles can be associated with waves.
Q. 41. A body falls freely from the top of a tower. It
Consider a double slit experiment with
covers 36% of total height in the last second
mono energetic electrons. Instead of screen,
before striking the ground. Find height of
optical detectors are used. If the speed of the tower.
the electrons is increased,
(a) 50 m (b) 250 m
(a) the interference pattern vanishes.
(c) 75 m (d) 125 m
(b) the distance between consecutive
fringes increases. Q. 42. The equation of motion of a projectile is
(c) the distance between consecutive 3 2
y=12x− x
fringes decreases. 4
(d) the interference pattern is unaffected. What is the range of projectile?
(a) 12 m (b) 16 m
(c) 20 m (d) 24 m
Q. 43. A body is moving in a circle of radius 80 m
Q. 36. In stationary waves, antinodes are the
with a speed of 20 m/s which is decreasing
points where: at a rate of 5 m/s2at an instant. The angle
(a) minimum displacement and minimum made by its acceleration with its velocity is
pressure change occur. (b) 90°
(a) 45°
(b) minimum displacement and maximum (c) 135° (d) 0°
pressure change occur.
Time : 3 hours Max. Marks : 720
Important Instructions:
1. There are 180 questions in this test
2.Each question caries 4 marks. For each correct response, the candidate will get 4 marks. For every wrong response
1 mark shall be deducted from the total score. Unanswered/Unattempted questions will be given no marks.
3. Use Blue/Black Ball point pen any for writing particulars on this page/marking responses.
4. Use of Electronic/Manual calculator is prohibited.
PHYSICS
Q. 4. A body of mass m rises to height h =R
5
from the Earth’s surface, where R is Earth’s
Q. 1. The radii of circular orbits of two satellites
radius. If g is the acceleration due to gravity
A and B of the Earth, are 4R and R, at Earth’s surface, the increase in potential
respectively. If the speed of satellite A is 3V, energy is:
then the speed of satellite B will be: 4
(a) mgh (b) 5mgh
(a) 3V/4 (b) 6V
(c) 12V (d) 3V/2
5 (d)6
Q. 2. A polaroid is placed at 45° to an incoming (c) 6mgh 7mgh
light of intensity I0. Now the intensity
Q. 5. A galvanometer has a coil of resistance
of light passing through polaroid after
100 ohm and gives a full scale deflection for
polarization would be :
30 mA current. If it is to work as a voltmeter
(a) I0 (b) I0/2
of 30 volt range, the resistance required to
(c) I0/4 (d) Zero be added will be :
Q. 3. If the mass of Sun were ten times smaller
(a) 900 Ω (b) 1800 Ω
and the universal gravitational constant (c) 500 Ω (d) 1000 Ω
were ten times larger in magnitude, then
Q. 6. Three blocks A, B and C, of masses 4 kg,
which of the following is not correct?
2 kg and 1 kg respectively, are in contact on
(a) Time period of a simple pendulum on a frictionless surface, as shown. If a force of
the Earth would decrease.
14 N is applied on the 4 kg block, then the
(b) Walking on the ground would become contact force between A and B is :
more difficult.
(c) Raindrops will fall faster.
A B
(d) ‘g’ on the Earth will not change. C
, (a) 18 N (b) 2 N (c) 2550 W in series
(c) 6 N (d) 8 N (d) 2450 W in series
Q. 7. If x longitudinal strain is produced in a wire Q. 14. The given electrical network is equivalent to:
of Young’s modulus y, then energy stored
per unit volume in the material of the wire is: A Y
(a) yx2 (b) 2yx2 B
(d)12yx2 (a) AND gate (b) OR gate
(c) 2y2x
(c) NOR gate (d) NOT gate
Q. 8. For a series LCR circuit, the power loss at Q. 15. A conducting circular loop is placed in a
resonance is: uniform magnetic field 0.04 T with its plane
V2 perpendicular to the direction of magnetic
(a) 1 (b) I2Cω field. The radius of the loop starts shrinking
ωL − at 2 mm/s. The induced emf in the loop
ωC
when the radius is 2 cm is:
V2
(c) I2R (d) (a) 4.8π μV (b) 0.8π μV
ωC
(c) 1.6π μV (d) 3.2π μV
Q. 9. If a block moving up an inclined plane
Q. 16. An astronaut orbiting the Earth in a circular
inclined at an angle, q = 30° with a velocity orbit of radius 120 km above the surface of
5 m/s, stops after 0.5 sec, then m is:
Earth, gently drops a spoon out of his space-
(a) 0.5 (b) 1.25 ship. The spoon will:
(c) 0.6 (d) none of these
(a) fall vertically down to the Earth.
Q. 10. When air in a capacitor is replaced by (b) move towards the Moon.
a medium of dielectric constant K, the (c) move along with the space-ship.
capacity: (d) move in an irregular way then fall down
(a) Decreases K times to the Earth.
(b) Increases K times Q. 17. Choose the correct statement from the
(c) Increases K2times following :
(d) Remains constant
The radius of the orbit of a geostationary
Q. 11. A long solenoid has 1000 turns. When a satellite depends upon:
current of 4 A flows through it, the magnetic
(a) mass of the satellite, its time period and
flux linked with each turn of the solenoid
is 4 × 10–3Wb. The self-inductance of the the gravitational constant.
(b) mass of the satellite, mass of the Earth
solenoid is:
and the gravitational constant.
(a) 4 H (b) 3 H (c) mass of the Earth, mass of the satellite,
(c) 2 H (d) 1 H time period of the satellite and the grav-
Q. 12. Potential energy of a satellite having mass itational constant.
‘m’ and rotating at a height of 6.4 × 106m (d) mass of the Earth, time period of the
from the Earth centre is: satellite and the gravitational constant.
(a) –0.5mgRe (b) –mgRe Q. 18. A magnet of magnetic moment M and pole
(c) –2mgRe (d) 4mgRe strength m is divided in two equal parts,
Q. 13. A galvanometer of 50 ohm resistance has then magnetic moment of each part will be:
25 divisions. A current of 4 × 10-4ampere (b)M
(a) M
gives a deflection of one division. To convert 2
this galvanometer into a voltmeter having M
(c) (d) 2M
a range of 25 volts, it should be connected 4
with a resistance of:
Q. 19. The voltage gain of an amplifier with 9%
(a) 2500 W as a shunt negative feedback is 10. The voltage gain
(b) 2450 W as a shunt without feedback will be :
, (a) 90 (b) 10 (d) a translational force only in a direction
(c) 1.25 (d) 100 normal to the direction of the field.
Q. 20. The temperature of sink of a Carnot engine Q. 26. An aeroplane moves 400 m towards north,
300 m towards west and then 1200 m
is 27°C. Efficiency of the engine is 25%. Then
temperature of source is : vertically upwards. Then its displacement
from the initial position is
(a) 227°C (b) 327°C
(a) 1300 m (b) 1400 m
(c) 127°C (d) 27°C
(c) 1500 m (d) 1600 m
Q. 21. The only force acting on a block is along Q. 27. If Planck’s constant (h), speed of light in vac
4 uum (c) and Newton’s gravitational constant
x-axis, given by F = – 2 N
. When the
x+2 (G) are the three fundamental constants.
block moves from x = – 2 m to x = 4 m, the Which of the following combinations of
change in kinetic energy of block is: these has the dimension of length?
(a) Positive hG
hG
(b) Negative (a) 3/2
(b) 52
c c
(c) Zero
hc Gc
(d) May be positive or negative (c) (d)
G h3 2
Q. 22. If the acceleration due to gravity at a height
1 km above the Earth is the same as at a Q. 28. The power radiated by a black body is
P and it radiates maximum energy at
depth d below the surface of Earth, then
wavelength λ0. If the temperature of
(a) d = 2 km (b) d = 1/2 km the black body is now changed so that it
(c) d = 1 km (d) d = 3/2 km radiates maximum energy at wavelength
Q. 23. From the following quantities, which one 3/4 λ0, the power radiated by it becomes
nP. The value of n is:
has dimension different from the remaining
three? (a) 3/4 (b) 4/3
(c) 256/81 (d) 81/256
(a) Energy per unit volume
Q. 29. If charge of 10 mC and –2 mC are given
(b) Force per unit area
to two plates of a capacitor which are
(c) Product of voltage and charge per unit connected across a battery of 12 V, then find
volume
the capacitance of the capacitor.
(d) Angular momentum (a) 0.33 mF (b) 0.5 mF
Q. 24. The coordinates of centre of mass of the (c) 0.41 mF (d) 0.66 mF
following quarter circular arc is: Q. 30. In the Davisson and Germer experiment,
r r 2r 2 r the velocity of electrons emitted from the
(a) (b)
2,2 3,3 electron gun can be increased by:
(a) increasing the potential difference
2r 2 r 4r 4 r between the anode and the filament.
(c) , (d) ,
π π π π (b) increasing the filament current.
Q. 25. An electric dipole is placed at an angle of 30° (c) decreasing the filament current.
to a non-uniform electric field. The dipole (d) decreasing the potential difference
between the anode and the filament.
experiences:
(a) a torque as well as a translational force. Q. 31. Two specific heats of a perfect gas are related
by:
(b) a torque only.
(a) CP – Cn = R/J (b) CP – Cn = J
(c) a translational force only in the direc-
tion of field. (c) CP – Cn = RJ (d) CP + 1/Cn = 2.4 cal
, Q. 32. When a particle is moving in a vertical circle, (c) maximum displacement and maximum
(a) its radial and tangential acceleration pressure change occur.
both are constant. (d) maximum displacement and minimum
(b) its radial and tangential acceleration pressure change occur.
both are varying. Q. 37. The angle of incidence of a ray of light at a
(c) its radial acceleration is constant but reflecting surface of an equilateral prism is
tangential acceleration is varying. 50°. If the ray suffers minimum deviation
(d) its radial acceleration is varying but tan- through the prism, the angle of minimum
gential acceleration is constant. deviation and refractive index of the material
Q. 33. The shortest wavelength of the Brackett of the prism respectively are (sin 50° = 0.7660)
series of a hydrogen like atom (atomic (a) 40° , 1.5 (b) 30°, 1.5
number = Z) is the same as the shortest (c) 40° , 1.6 (d) 30°, 1.6
wavelengthoftheBalmarseriesofhydrogen Q. 38. The displacement of a particle, moving in a
atom. The value of Z is: straight line, is given by s = 2t2+ 2t + 4
(a) 2 (b) 3 where s is in metres and t in seconds. The
(c) 4 (d) 6 acceleration of the particle is:
Q. 34. Which of the following is the correct (a) 2 m/s2 (b) 4 m/s2
statement about an object immersed in a (c) 6 m/s2 (d) 8 m/s2
liquid at rest and left free to move? Q. 39. 22 g of CO2 at 27°C is mixed with 16 g of
(a) Buoyancy force is equal to the weight of O2 at 37°C. The temperature of the mixture
the object. is:
(b) Centre of buoyancy coincides with the (a) 32°C (b) 27°C
centre of mass of the object. (c) 37°C (d) 30.5°C
(c) If the density of the object is equal to Q. 40. Velocity of light in glass whose refractive
the density of the liquid then the object index with respect to air is 1.5 is 2 × 108m/s
moves in the liquid with constant velocity. and in certain liquid the velocity of light is
(d) If the object sinks, then the weight of found to be 2.5 × 108m/s. The refractive
the displaced fluid is less than the force index of the liquid with respect to air is:
of buoyancy.
(a) 0.64 (b) 0.80
Q. 35. According to de-Broglie’s hypothesis, (c) 1.20 (d) 1.44
particles can be associated with waves.
Q. 41. A body falls freely from the top of a tower. It
Consider a double slit experiment with
covers 36% of total height in the last second
mono energetic electrons. Instead of screen,
before striking the ground. Find height of
optical detectors are used. If the speed of the tower.
the electrons is increased,
(a) 50 m (b) 250 m
(a) the interference pattern vanishes.
(c) 75 m (d) 125 m
(b) the distance between consecutive
fringes increases. Q. 42. The equation of motion of a projectile is
(c) the distance between consecutive 3 2
y=12x− x
fringes decreases. 4
(d) the interference pattern is unaffected. What is the range of projectile?
(a) 12 m (b) 16 m
(c) 20 m (d) 24 m
Q. 43. A body is moving in a circle of radius 80 m
Q. 36. In stationary waves, antinodes are the
with a speed of 20 m/s which is decreasing
points where: at a rate of 5 m/s2at an instant. The angle
(a) minimum displacement and minimum made by its acceleration with its velocity is
pressure change occur. (b) 90°
(a) 45°
(b) minimum displacement and maximum (c) 135° (d) 0°
pressure change occur.
