2. SECTION – I
Single Correct Answer Type
There are five parts in this question. Four choices are given for each part and one of them is
correct. Indicate you choice of the correct answer for each part in your answer-book by
writing the letter (a), (b), (c) or (d) whichever is appropriate
3. 01 Problem
Equivalent resistance between points X and Y is :
1
3 R
a. 2
1
b. 2 R
3
1
c. 1 R
4
1
R
d. 5
4. 02 Problem
Each quarter of a vessel of depth H is filled with liquids of the refractive indices
1 , 2 , 3 , 4 from the bottom respectively. The apparent depth of the vessel
when looked normally is :
1 1 1 1
2 3 4
a. H 1
2
(1 2 3 4 )
b. 4H
H 1 2 3 4 )
c. 4
1 1 1 1
H
d. 1 2 3 4
4
5. 03 Problem
Wavelength associated with an electron of kinetic energy 54 eV is :
a. 3.5 x 10-11 m
b. 3.6 x 10-9 m
c. 1.6 x 10-10 m
d. 2.29 x 10-8 m
6. 04 Problem
In a transistor the base current is 100 A and emitter current is 5 mA. The value
of collector current will be :
a. 4.9 mA
b. 5.9 mA
c. 49 mA
d. none of these
7. 05 Problem
What is the effective capacitance between X and Y in the given figure is :
a. 2.5 μF
b. 3 μF
c. 4.5 μF
d. 2μF
8. 06 Problem
The numerical value of charge on either plate of capacitor C shown in fig.
CER1
a. R2 r
CER2
b. R2 r
CER1
c.
R1 r
d. CF
9. 07 Problem
Three equal resistor are connected as shown in figure. The maximum power
connected by each resistor is 18 watt. Then maximum power consumed by the
combination
a. 54 watt
b. 36 watt
c. 27 watt
d. 18 watt
10. 08 Problem
The radioactive decay of uranium into thorium is given by the equation 92U238
234
90Th + X then X is :
a. An particle
b. A neutron
c. A proton
d. An electron
11. 09 Problem
238 decay to 82Pb206. The number of and particles emitted respectively are
92U
a. 8 and 6
b. 3 and 5
c. 2 and 3
d. 1 and 2
12. 10 Problem
An interference pattern is observed by Young’s double slit experiment. If
now, the separation between coherent sources is halved and the distance of
screen from coherent sources be doubled. The new fringe width :
a. Becomes four times
b. Remains same
c. Become one fourth
d. Becomes double
13. 11 Problem
An operating power of an amplifier is supplied from :
a. Output of the amplifier
b. Transistor
c. A.C. Signal
d. D.C. supply
14. 12 Problem
A diode as a rectifier converts :
a. High voltage into low voltage and vice vera
b. Vearying D.C. current into constant d.c. Current
c. D.C into A.C.
d. A.C. into D.C.
15. 13 Problem
In the given circuit the resonant frequency is :
a. 0.22 cycles/sec
b. 0.22 cycles/sec
c. 22 cycles/sec
d. 220 K cycles/sec
16. 14 Problem
From wires each of length 2.0 metres are bent into four loops P, Q, R and S, are
then suspended into uniform magnetic field. Same current is passed in each loop
which element has highest couple ?
a. Couple on loop S will be the highest
b. Couple on loop R will be the highest
c. Couple on loop Q will be the highest
d. Couple on loop P will be the highest
17. 15 Problem
A mass of 10 g moving horizontally with a velocity of 10 cm/sec strikes a
pendulum bob of mass 10 g. The two masses stick together. The maximum height
reached by the system now is, (g = 10 m/s2) :
a. 1.25 cm
b. 2.5 cm
c. 5 cm
d. zero
18. 16 Problem
which of the graphs best represents the velocity time graph of a ball thrown
vertically upward to a considerable height and which then return to the thrower ?
a.
b.
c.
d.
19. 17 Problem
The root mean square speed (rms) of oxygen molecule O2 at a certain
temperature T (degree absolute) is v. If the temperature is doubled and oxygen
gas dissociates into atomic oxygen the rms speed :
a. Becomes 2
b. Remains
c. Becomes 2
d. Becomes
20. 18 Problem
In the circuit shown in figure. If booth the bulbs B1 and B2 are indentical :
a. Only B2 will glow because the capacitor has indefinite impedance
b. B1 will be brighter than B2
c. B2 will be brighter than B1
d. Their brightness will be same
21. 19 Problem
A wall has to layers A and B, each made of a different material. Both layers
have the same thinkness. The thermal conductivity of the material of A is twice
that of B. Under thermal equilibrium : The temperature difference across the
will is 360C. The temperature difference across the layer A is :
a. 240C
b. 180C
c. 80C
d. 120C
22. 20 Problem
The excess pressure across the surface of a soap bubble of radius r (T is
surface tansion of a soap solutions) is :
4T
a.
r
8T
b. r
2T
c. r
T
d. 2
23. 21 Problem
The resultant of two forces of magnitude 3 N and 4 N may be :
a. Any one between 1 N and 7 N depending on angle between them
b. 5 N
c. 7 N
d. 1 N
24. 22 Problem
Calculate the value of h in U tube shown in fig.
Density of oil = 0.9 g/cm3
Density of carbon tetra chloride = 1.6 g/cm3
Density of mercury = 13.6 g/cm3
a. 18.9cm
b. 20.9cm
c. 16.9cm
d. 14.9cm
25. 23 Problem
If a volume of a block of a metal changes by 0.12% when it is heated through
200C. The coefficient of linear expansion of metal is :
a. 2.0 x 10-5/0C
b. 10 x 10-5/0C
c. 0.5 x 10-5/0C
d. 3.0 x 10-5/0C
26. 24 Problem
Four curves A, B, C and D are drown in the fig. For a given amount of gas. The
curves which represent adiabatic and isothermal and isothermal changes are :
a. A and B respectively
b. B and A respectively
c. A and C respectively
d. C and D respectively
27. 25 Problem
At NTP one mole of diatomic gas is compared adibatically to half of its volume =
1.40. The work done on the gas will be [(2)0.4 = 1.32]
a. 2025 J
b. 1792 J
c. 1610 J
d. 1280 J
28. 26 Problem
In atom bomb, a temperature of abdout 10 million degree is developed at the
moment of explosion. In what region of the spectrum do the wavelength
corresponding maximum energy density lie verse if the light source is in atom
bomb :
a. X-ray region
b. Infrared region
c. Visible region
d. Ultra violet region
29. 27 Problem
The fundamental frequency of transverse vibration of a string is 200 Hz. If the
string is made to vibrate in two loops and the tension is increased to 4 times, the
new frequency becomes/remains :
a. 25 Hz
b. 800 Hz
c. 400 Hz
d. 200 Hz
30. 28 Problem
A observer approaching a stationary source with a velocity one third the
velocity of sound. Then the ratio of apparent frequency and actual frequency of
source will be :
2
a. 3
3
b. 2
3
c. 4
4
d. 3
31. 29 Problem
A long wire having a semicircular loop of radius r carries a current i as shown in
fig. The magnetic induction at the centre O due to entire wire :
0 i
a.
6 r
b. 30 i
2
0 i
c.
2 r
0i
B
d. 4 r
32. 30 Problem
100 capacitors each having a capacity of 10 F are connected in parallel and are
charged by a potential difference of 100 kV. The energy stored in the capacitor
and the cost of charging them. If electrical energy costs 108 paisa per kWh, will
be :
a. 107 J and 150 paise
b. 5 x 106 J and 150 paise
c. 5 x 106 and 300 paise
d. 107 J and 300 paise
33. 31 Problem
A p type semiconductor has acceptor levels 57 meV above the balance band. The
maximum wavelength of light required to create holes is (Planck constant
h = 6.6 x 10-34Js) :
a. 11.61 x 10-33 Å
b. 217105 Å
c. 57 x 10-3 Å
d. 57 Å
34. 32 Problem
A narrow electron beam passes undeviated through an electric field E = 3 x 104
volt/m and an overlapping magnetic field B = 2 x 10-3 Wb/m2. The electron
motion, electric field, and magnetic field are mutually perpendicular the speed of
the electron is :
a. 0.67 x 10-7 m/s
b. 1.5 x 10-7 m/s
c. 10.3 x 10-7 m/s
d. 60 m/s
35. 33 Problem
as ferromagnetic material is heated above curie temperature, Which one of the
following statement is correct ?
a. ferromagnetic material charges itself into diamagnetic material
b. ferromagnetic domains are not influenced
c. ferromagnetic domains become random
d. ferromagnetic domains are perfectly arranged
36. 34 Problem
Total electric flux coming out of a unit positive charge put in air is :
a. 4 0
b. ( 4 )
0
c. 0
1
d. 0
37. 35 Problem
Deuteron and -particles are put 1 Å apart in air. Magnitude of intensity of
electric field due to deuteron at -particle is :
a. 5.76 x 1011 N/C
b. 1.44 x 1011 N/C
c. 2.88 x 1011 N/C
d. zero
38. 36 Problem
In the figure an air lens of radii of curvature 10 cm (R1 = R2 = 10 cm) is cut in a
cylinder of glass ( = 1.5). the focal length and nature of lens is :
a. 15 cm convex
b. zero, concave
c. neither concave nor convex
d. 15 cm concave
39. 37 Problem
A geostationary satellite is taken from its orbit to another orbit. If the distance of
the second orbit from the centre of the earth is double that of the first orbit.
Then its time period in the second orbit will be :
a. 24 hr
b. 48 hr
c. 48 2 hr
d. 4.8 hr
40. 38 Problem
Three blocks of masses m1, m2 and m3 are connected by massless strings as
shown on a frictionless table. They are pulled with a force T3 = 40 N. If m1 = 10
kg, m2 = 6kg and m3 = 4 kg. The tension T2 will be :
a. 32 N
b. 10 N
c. 40 N
d. 20 N
41. 39 Problem
The following four wires are made of same material and same tension is applied
on them, which one will have maximum increase in length ?
a. Length = 300 cm, diameter = 3 mm
b. Length = 200 cm, diameter = 2 mm
c. Length = 50 cm, diameter = 0.5 mm
d. Length = 100 cm, diameter = 1 mm
42. 40 Problem
In the spectrum of light of a luminous heavenly body the wavelength of a spectral
line is measured to be 4747 Å while actual wavelength of line is 4700 Å. The
relative velocity of the heavenly body with respect to earth will be (velocity of
light = 3 x 108 m/s) :
a. 3 x 106 m/s moving away from the earth
b. 3 x 106 m/s moving towards the earth
c. 3 x 105 m/s moving away from the earth
d. 3 x 106 m/s moving towards the earth
43. 41 Problem
A mass of 100 g is tied to one end of a string 2 metres long. The body is revolving
in a horizontal circle making a maximum of 200 revolutions per minute. The
other end of the string is fixed at the centre of the circle of revolutions. The
maximum tension that the string can bear is (approximately) :
a. 87.8 N
b. 89.42 N
c. 8.72 N
d. 8.94 N
44. 42 Problem
Hot water cools from 600C to 500C in the first ten minutes and to 420C in the
next 10 minuts. The temperature of surrounding is :
a. 200C
b. 150C
c. 50C
d. 100C
45. 43 Problem
A cylinder of capacity 20 litres is filled with hydrogen gas. The total average
kinetic energy gas. The total average kinetic energy of translating motions of its
molecule is
1.52 x 105 J. The pressure of hydrogen in the cylinder is :
a. 5 x 106 N/m2
b. 4 x 105 N/m2
c. 3 x 10 J m/s
d. 2 x 106 N/m2
46. 44 Problem
The average kinetic energy of thermal neutron is of the order of :
a. 3 MeV
b. 3 KeV
c. 3 eV
d. 0.032 eV
47. 45 Problem
A lift is desending at a constant speed . A passenger in the lift drops a coin.
The acceleration of coin towards with floor is :
a. + g
b. + 2g
c. +g
d. - g
48. 46 Problem
The radii of two sphere forming a spherical condenser are 0.5 and 0.6 m. Its
medium having dielectric constant 6 is completely filled in between, the spherical
condenser the capacity of the condenser will be :
a. 18 F
b. 2 F
c. 3.3 x 10-10 F
d. 2 x 10-9 F
49. 47 Problem
In any bohrs orbit of the hydrogen atom the ratio of kinetic energy to potential
energy of the electron is :
a. - 2
1
b.
2
c. 2
1
d. 2
50. 48 Problem
A wheel rotates with constant acceleration of 2.0 rad/s2, if the wheel starts from
rest the number of revolutions it makes in the first ten seconds will be
approximately :
a. 32
b. 24
c. 16
d. 8
51. 49 Problem
A body is moved from rest along a straight line by a matchine delivering constant
power. “the distance moved by the body in time t is proportional to :
a. t2
b. t3/2
c. t3/4
d. t1/2
52. 50 Problem
A bullet is fired with a speed of 1500 m/s in order to hit a target 10 m away. If g =
10 m/s2. the gun should be aimed :
a. 15 cm above the target
b. 10 cm above the target
c. 5 cm above the target
d. directly towards the target
