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Q2
PHYSICS
Unit 16: Optics
A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:
-
A.
a large aperture contributes to the quality and visibility of the images.
-
B.
a large area of the objective ensures better light gathering power.
-
C.
a large aperture provides a better resolution.
-
D.
all of the above.
Q2
PHYSICS
Unit 16: Optics
A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:
-
A.
a large aperture contributes to the quality and visibility of the images.
-
B.
a large area of the objective ensures better light gathering power.
-
C.
a large aperture provides a better resolution.
-
D.
all of the above.
Q4
PHYSICS
Unit 12: Current Electricity
Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column - II gives some mathematical relations involving electrical quantities. Match Column - I and Column - II with appropriate relations.
Column - I: (A) Drift Velocity, (B) Electrical Resistivity, (C) Relaxation Period, (D) Current Density
Column - II: (P) m / ne^2τ, (Q) nevd, (R) eEτ / m, (S) E / J
-
A.
(A)-(R), (B)-(Q), (C)-(S), (D)-(P)
-
B.
(A)-(R), (B)-(S), (C)-(P), (D)-(Q)
-
C.
(A)-(R), (B)-(S), (C)-(Q), (D)-(P)
-
D.
(A)-(R), (B)-(P), (C)-(S), (D)-(Q)
Q4
PHYSICS
Unit 12: Current Electricity
Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column - II gives some mathematical relations involving electrical quantities. Match Column - I and Column - II with appropriate relations.
Column - I: (A) Drift Velocity, (B) Electrical Resistivity, (C) Relaxation Period, (D) Current Density
Column - II: (P) m/(ne^2ρ), (Q) nev_d, (R) eEτ/m, (S) E/J
-
A.
(A)-(R), (B)-(Q), (C)-(S), (D)-(P)
-
B.
(A)-(R), (B)-(S), (C)-(P), (D)-(Q)
-
C.
(A)-(R), (B)-(S), (C)-(Q), (D)-(P)
-
D.
(A)-(R), (B)-(P), (C)-(S), (D)-(Q)
Q6
PHYSICS
Unit 11: Electrostatics
A parallel plate capacitor has a uniform electric field 'E' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A', the energy stored in the capacitor is: (ε_0 = permittivity of free space)
-
A.
1/2 ε_0 E^2 Ad
-
B.
1/2 ε_0 E^2
-
C.
ε_0 EAd
-
D.
ε_0 E^2 Ad
Q7
PHYSICS
Unit 11: Electrostatics
Polar molecules are the molecules:
-
A.
having a permanent electric dipole moment.
-
B.
having zero dipole moment.
-
C.
acquire a dipole moment only in the presence of electric field due to displacement of charges.
-
D.
acquire a dipole moment only when magnetic field is absent.
Q8
PHYSICS
Unit 19: Electronic Devices
Consider the following statements (A) and (B) and identify the correct answer.
(A) A zener diode is connected in reverse bias, when used as a voltage regulator.
(B) The potential barrier of p-n junction lies between 0.1 V to 0.3 V.
-
A.
(A) is incorrect but (B) is correct.
-
B.
(A) and (B) both are correct.
-
C.
(A) and (B) both are incorrect.
-
D.
(A) is correct and (B) is incorrect.
Q11
PHYSICS
Unit 12: Current Electricity
The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?
-
A.
4 Ω
-
B.
0.25 Ω
-
C.
0.5 Ω
-
D.
1 Ω
Q12
PHYSICS
Unit 4: Work Energy and Power
Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine? (g=10 m/s^2)
-
A.
7.0 kW
-
B.
10.2 kW
-
C.
8.1 kW
-
D.
12.3 kW
Q13
PHYSICS
Unit 10: Oscillations and Waves
A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is:
-
A.
0.628 s
-
B.
0.0628 s
-
C.
6.28 s
-
D.
3.14 s
Q14
PHYSICS
Unit 10: Oscillations and Waves
A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is:
Q14
PHYSICS
Unit 10: Oscillations and Waves
A body is executing simple harmonic motion with frequency ‘n’, the frequency of its potential energy is:
Q16
PHYSICS
Unit 11: Electrostatics
Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of surface charge densities of the spheres (σ1/σ2) is:
-
A.
R2^2 / R1^2
-
B.
R1 / R2
-
C.
R2 / R1
-
D.
(R1 / R2)^2
Q16
PHYSICS
Unit 11: Electrostatics
Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of surface charge densities of the spheres (σ1/σ2) is:
-
A.
(R2/R1)^2
-
B.
R1/R2
-
C.
R2/R1
-
D.
(R1/R2)^2
Q17
PHYSICS
Unit 19: Electronic Devices
The electron concentration in an n-type semiconductor is the same as hole concentration in a p-type semiconductor. An external field (electric) is applied across each of them. Compare the currents in them.
-
A.
No current will flow in p-type, current will only flow in n-type.
-
B.
current in n-type = current in p-type.
-
C.
current in p-type > current in n-type.
-
D.
current in n-type > current in p-type.
Q18
PHYSICS
Unit 17: Dual Nature of Matter and Radiation
The number of photons per second on an average emitted by the source of monochromatic light of wavelength 600 nm, when it delivers the power of 3.3×10^-3 watt will be : (h=6.6×10^-34 Js)
-
A.
10^15
-
B.
10^18
-
C.
10^17
-
D.
10^16
Q19
PHYSICS
Unit 18: Atoms and Nuclei
The half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be:
-
A.
2^(3/2)
-
B.
1/2
-
C.
1 / (2^(3/2))
-
D.
2/3
Q20
PHYSICS
Unit 1: Physics and Measurement
If E and G respectively denote energy and gravitational constant, then E/G has the dimensions of :
-
A.
[ M2 ] [ L-2 ] [ T-1 ]
-
B.
[ M2 ] [ L-1 ] [ T0 ]
-
C.
[ M ] [ L-1 ] [ T-1 ]
-
D.
[ M ] [ L0 ] [ T0 ]
Q21
PHYSICS
Unit 18: Atoms and Nuclei
A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is:
-
A.
216 MeV
-
B.
0.9 MeV
-
C.
9.4 MeV
-
D.
804 MeV
Q22
PHYSICS
Unit 11: Electrostatics
A dipole is placed in an electric field as shown. In which direction will it move?
-
A.
towards the right as its potential energy will increase.
-
B.
towards the left as its potential energy will increase.
-
C.
towards the right as its potential energy will decrease.
-
D.
towards the left as its potential energy will decrease.
Q23
PHYSICS
Unit 1: Physics and Measurement
If force [ F ], acceleration [ A ] and time [ T ] are chosen as the fundamental physical quantities. Find the dimensions of energy.
-
A.
[ F ] [ A-1 ] [ T ]
-
B.
[ F ] [ A ] [ T ]
-
C.
[ F ] [ A ] [ T^2 ]
-
D.
[ F ] [ A ] [ T-1 ]
Q28
PHYSICS
Unit 2: Kinematics
A small block slides down on a smooth inclined plane, starting from rest at time t=0. Let Sn be the distance travelled by the block in the interval t=n-1 to t=n. Then, the ratio Sn/Sn+1 is :
-
A.
(2n-1)/(2n+1)
-
B.
(2n+1)/(2n-1)
-
C.
(2n-1)/(2n)
-
D.
(2n)/(2n-1)
Q29
PHYSICS
Unit 12: Current Electricity
A capacitor of capacitance ‘C’, is connected across an ac source of voltage V, given by V=V0 sinωt. The displacement current between the plates of the capacitor, would then be given by :
-
A.
Id = V0 ωC sinωt
-
B.
Id = V0 ωC cosωt
-
C.
Id = V0/ωC cosωt
-
D.
Id = V0/ωC sinωt
Q30
PHYSICS
Unit 12: Current Electricity
In a potentiometer circuit a cell of EMF 1.5 V gives balance point at 36 cm length of wire. If another cell of EMF 2.5 V replaces the first cell, then at what length of the wire, the balance point occurs ?
-
A.
62 cm
-
B.
60 cm
-
C.
21.6 cm
-
D.
64 cm
Q31
PHYSICS
Unit 1: Physics and Measurement
A screw gauge gives the following readings when used to measure the diameter of a wire: Main scale reading : 0 mm, Circular scale reading : 52 divisions. Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is :
-
A.
0.052 cm
-
B.
0.52 cm
-
C.
0.026 cm
-
D.
0.26 cm
Q32
PHYSICS
Unit 15: Electromagnetic Waves
For a plane electromagnetic wave propagating in x-direction, which one of the following combination gives the correct possible directions for electric field (E) and magnetic field (B) respectively ?
-
A.
-j, +k, -j, +k
-
B.
+j, +k, -j, +k
-
C.
-j, +k, -j, -k
-
D.
+j, -j, -j, +k
Q33
PHYSICS
Unit 6: Gravitation
The escape velocity from the Earth’s surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :
-
A.
4 v
-
B.
v
-
C.
2 v
-
D.
3 v
Q34
PHYSICS
Unit 16: Optics
A convex lens ‘A’ of focal length 20 cm and a concave lens ‘B’ of focal length 5 cm are kept along the same axis with a distance ‘d’ between them. If a parallel beam of light falling on ‘A’ leaves ‘B’ as a parallel beam, then the distance ‘d’ in cm will be :
Q35
PHYSICS
Unit 7: Properties of Solids and Liquids
The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is d/2, then the viscous force acting on the ball will be :
-
A.
2 Mg
-
B.
Mg/2
-
C.
Mg
-
D.
3Mg/2
Q36
PHYSICS
Unit 5: Rotational Motion
A uniform rod of length 200 cm and mass 500 g is balanced on a wedge placed at 40 cm mark. A mass of 2 kg is suspended from the rod at 20 cm and another unknown mass ‘m’ is suspended from the rod at 160 cm mark. Find the value of ‘m’ such that the rod is in equilibrium. (g=10 m/s^2)
-
A.
1/12 kg
-
B.
1/2 kg
-
C.
1/3 kg
-
D.
1/6 kg
Q37
PHYSICS
Unit 5: Rotational Motion
From a circular ring of mass ‘M’ and radius ‘R’ an arc corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is ‘K’ times ‘MR^2’. Then the value of ‘K’ is :
-
A.
1/8
-
B.
3/4
-
C.
7/8
-
D.
1/4
Q38
PHYSICS
Unit 13: Magnetic Effects of Current and Magnetism
A uniform conducting wire of length 12a and resistance ‘R’ is wound up as a current carrying coil in the shape of: (i) an equilateral triangle of side ‘a’. (ii) a square of side ‘a’. The magnetic dipole moments of the coil in each case respectively are :
-
A.
4 Ia^2 and 3 Ia^2
-
B.
3 Ia^2 and 3 Ia^2
-
C.
3 Ia^2 and Ia^2
-
D.
3 Ia^2 and 4 Ia^2
Q39
PHYSICS
Unit 3: Laws of Motion
A ball of mass 0.15 kg is dropped from a height 10 m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is (g=10 m/s^2) nearly :
-
A.
1.4 kg m/s
-
B.
0 kg m/s
-
C.
4.2 kg m/s
-
D.
2.1 kg m/s
Q40
PHYSICS
Unit 16: Optics
A point object is placed at a distance of 60 cm from a convex lens of focal length 30 cm. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of 40 cm from it, the final image would be formed at a distance of :
-
A.
20 cm from the plane mirror, it would be a virtual image.
-
B.
20 cm from the lens, it would be a real image.
-
C.
30 cm from the lens, it would be a real image.
-
D.
30 cm from the plane mirror, it would be a virtual image.
Q41
PHYSICS
Unit 14: Electromagnetic Induction and Alternating Currents
Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 >> R2, the mutual inductance M between them will be directly proportional to :
-
A.
R2^2 / R1
-
B.
R1 / R2^2
-
C.
R1^2 / R2
-
D.
R2^2 / R1^2
Q42
PHYSICS
Unit 6: Gravitation
A particle of mass ‘m’ is projected with a velocity v=kVe (k < 1) from the surface of the earth. (Ve=escape velocity) The maximum height above the surface reached by the particle is :
-
A.
Rk^2 / (1-k^2)
-
B.
R * k^2 / (1-k)
-
C.
R * k^2 / (1+k)
-
D.
R * k / (1-k)
Q43
PHYSICS
Unit 11: Electrostatics
Twenty seven drops of same size are charged at 220 V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.
-
A.
1980 V
-
B.
660 V
-
C.
1320 V
-
D.
1520 V