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Physics (Engineering)

Complete Syllabus of Class XI & XII

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(vi) Each question carries 3 marks. For every wrong response 1 mark shall be deducted from the total score.

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1. An arrow is shot into air. Its range is 200 m and its 4. The escape velocity of a body at a height h above
time of flight is 5 second. If g = 10 m/s2, then the the surface of the earth is 36% of that from the
surface of earth. If v0 be the orbital velocity of this
horizontal component of velocity of the arrow is
body near the surface of the earth, then what will be
(1) 12.5 m/s (2) 25 m/s its orbital velocity at a height h?

(3) 31.25 m/s (4) 40 m/s (1) 36% of v0 (2) v0

(3) 36% of ve (4) 18% of v0
2. A stone weights (10.0 ± 0.1) kg in air. The weight of
the stone in water = (5.0 ± 0.1) kg. The maximum 5. A body begins to slide over the surface of another
% error in the measurement of the specific gravity is body when pulled with a force of 7 N. If we pull it
with a force of 5 N, then the force of friction that will
(1) 5% (2) 6% come into play should be
(1) Zero (2) 0.5 N
⎛4⎞
(3) ⎜ ⎟ % (4) 2% (3) 5 N (4) Data insufficient
⎝3⎠
6. The lower end of a capillary tube of radius r is placed
3. Three masses are placed on the y-axis; 200 gm at vertically in water. If h be the rise of water in
y = 0 cm, 500 gm at y = 30 cm and 400 gm at capillary, then the heat evolved is
y = 70 cm. The distance of the centre of mass from
πr 2 h 2 g
origin is nearly (1) (2) π2 r 2 h 2 g
2
(1) 0.4 m (2) 0.5 m
πr 2 h 2 g πr 2 h 2 g
(3) 0.6 m (4) 0.7 m (3) (4)
3 4

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7. The gas in a vessel is subjected to a pressure of 20 13. The angle of minimum deviation for a prism of
atm at a temperature of 27ºC. What is the pressure refractive index 1.5 is equal to the angle of prism.
of the gas in the vessel after one half the mass of The angle of the prism is α. α is (given that
the gas is released from the vessel and the cos 41º = 0.75)
temperature of the remainder is raised by 50ºC?
(1) 21º (2) 42º
(1) 11.7 atm (2) 17 atm
(3) 60º (4) 82º
(3) 8.5 atm (4) 10.8 atm
14. There is a system of three concentric conducting
8. A bimetallic strip is heated through tºC. If α1 and α2
shells having radii R ; 2R and 3R respectively. The
be the linear co-efficients of expansion for the two
innermost and outermost shells are given the
metals, then the strip bends into an arc of radius R
corresponding to inner strip. The thickness of each charges Q and –4Q respectively and middle one is
strip is d. The value of R is nearly grounded. The charge on the outer surface of middle
shell will be
dt
(1) α − α (2) (α2 – α1)dt
2 1

d (α 2 − α1 ).t
(3) (α − α ) t (4)
2 1 d
9. A spring of constant k is cut into two parts having
the ratio of their length 3:4 and now these parts
having spring constants k1 and k2 are connected
across a block of mass m. The time period of SHM
of block will be
2Q 4Q
k1 k2 (1) (2)
3 3
m
6Q 8Q
(3) (4)
12 m 7m 3 3
(1) 2π (2) 2π
49 k 12 k 15. A resistor and an inductor are connected in series to
a 220 V A.C. supply. When measured with A.C.
49 m 33 m
(3) 2π (4) 2π voltmeter, the potential difference across the resistor
12 k 49 k is 132 volt, the potential difference across the
10. In Young's double slit experiment, the distance terminals of the inductor is
between 2 sources is 0.1 mm. The distance of the (1) 80 volt
screen from source is 20 cm. Wavelength used is
5460 Å. The angular position of the first dark fringe (2) 220 × 132 volt
is nearly
(3) 176 volt
(1) 0.08º (2) 0.16º
(4) 358 volt
(3) 0.20º (4) 0.32º
16. The dependence of binding energy per nucleon, BN
7 on the mass number A is approximately represented
11. part of an artificial radioactive element decays in by
8
168 second. The half-life of the element is BN BN
(1) 2 second (2) 108 second
(3) 56 second (4) 256 second
(1) (2)
12. For a certain metal, ν (frequency of incident radiation)
is twice ν0 (threshold frequency) and electrons A A
A = 56 A = 56
come out with a maximum velocity of 4 × 108 cm/sec. BN
If the value of ν is 5ν0, then the maximum velocity BN
of photo electron will be
(1) 2 × 108 cm/s (2) 8 × 108 cm/s
(3) (4)
4 A
(3) 20 × 108 cm/s (4) × 108 cm/s A A = 36
5 A = 56 A = 96

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17. The magnetic field at the centre O is 21. Induced electric field lines
(1) Always make closed path
(2) Do not make closed path
a (3) May make closed path
b
O (4) Are always straight
22. An electron is revolving round the nucleus in a
circular orbit of radius R with speed V. The magnetic
⎛ μ 0I μ 0I ⎞ ⎛ 3 μ 0I μ 0I ⎞ dipole moment of system is
(1) ⎜ 2a + 2b ⎟ ⊗ (2) ⎜ 8a + 8b ⎟ ⊗
⎝ ⎠ ⎝ ⎠
eVR μ0 eV
(1) (2)
⎛ 3 μ 0I μ 0I ⎞ ⎛ 3 μ 0I μ 0I ⎞ 2 4 πR 3
(3) ⎜ 8a − 8b ⎟ ⊗ (4) ⎜ 8a + 4b ⎟ ⊗
⎝ ⎠ ⎝ ⎠ (3) Zero (4) eVR
18. In the circuit shown in figure the steady state voltage 23. Half life of polonium is 138 days. The last nucleus
across capacitor C is a fraction f of the battery emf. of this radioactive sample will decay in
The fraction is decided by
(1) 138 days (2) 2 × 138 days
R1 (3) 4 × 138 days (4) Unpredictable
+ C
R2 24. In the following figure, a parallel beam emerges
– R3
parallel. The relation between μ, μ1 and μ2 is

(1) R1 only (2) R1 & R3 only

(3) R1 & R2 only (4) R1, R2 & R3 μ1 t/2
μ
19. The figure shows a wire sliding on two parallel μ2 t/2
conducting rails placed at a seperation A. A magnetic
field B exists in a direction perpendicular to plane of
the rails. The force required to keep the wire moving
1 1 1
at a constant velocity v is (1) μ = μ1 + μ 2 (2) μ = μ + μ
1 2

μ1 + μ2 2 1 1
A v (3) μ = (4) μ = μ + μ
2 1 2

25. In YDSE, the angular position of point closest to

μ0 B 1
(1) A2B (2) central maxima intensity is th of the maxima
4π 4
BA 2 intensity is
(3) μ 4π (4) Zero
−1 ⎛ λ ⎞ −1 ⎛ λ ⎞
0

20. Figure represents, drawn to scale, the energy levels (1) sin ⎜ ⎟ (2) sin ⎜ ⎟
⎝d ⎠ ⎝ 2d ⎠
for an electron in a certain atom. The transition from
E3 to E1 produces a green line. What transition could −1 ⎛ λ ⎞ −1 ⎛ λ ⎞
give rise to a red line? (3) sin ⎜ 3 d ⎟ (4) sin ⎜ 4 d ⎟
⎝ ⎠ ⎝ ⎠

E4 26. Anode voltage is at +3 V. Incident radiation has

E3 frequency 1.4 × 1015 Hz and work function of the
Energy E2 photo cathode is 2.8 eV. The minimum and
maximum KE of photo electrons reaching the
E1 surface of anode is nearly

(1) E2 to E1 (2) E4 to E1 (1) 3, 6 (in eV) (2) 0, 3 (in eV)

(3) E3 to E1 (4) All of these (3) 0, 6 (in eV) (4) 2.8, 5.8 (in eV)

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27. A charge q is uniformly distributed with in the volume 31. The system is pushed by a force F as shown. All
of hollow sphere (insulated) of inner and outer radii surfaces are smooth except between B and C.
r1 and r2 (r2 > r1). The electric field at a point P at Friction co-efficient between B and C is μ. Minimum
a distance x from the centre is (r1 < x < r2) value of F to prevent block B from slipping is
A B C
qx q( x 3 − r13 ) F
(1) 4π ε (r 3 − r 3 ) (2) 4π ε ( r 3 − r 3 ) 2m m 2m
0 2 1 0 2 1

3 mg 5 mg
(1) (2)
q (x − r )
3
1
3
qr 1
3
2μ 2μ
(3) 4π ε x 2 ( r 3 − r 3 ) (4) 4π ε x ( r − r 3 )
2 3
0 2 1 0 2
1 5 3
(3) μmg (4) μmg
28. A thin disc (or dielectric) having radius "a" and 2 2
charge q distributed uniformly over the disc is 32. The force F = Cy 2 ( ˆj ) with C as negative constant, is
rotated with "n" rotations per second about its axis.
(1) Conservative (2) Non-conservative
The magnetic field at the centre of disc is
(3) Restoring (4) Dissipative
μ0 qn μ0 qn
(1) (2) 33. One mole of a diatomic gas is undergoing the
a 2a process shown by P-V diagram. Molar specific heat
of the gas for this process will be (R : gas constant)
μ0 qn 3 μ0 qn
(3) (4) P
4a 4a

29. In the figure shown, what will be the magnitude of B

4P0
magnetic field at the centre "O" of coil. Both the
straight sections are infinitely long and wire is of
uniform cross-section? P0 A

V
V0 2V0

O 13 R
r = 2m
(1) (2) 3R
4
1A 90º
∞ 20 R 25 R
(3) (4)
7 7
1A
34. There are 12 identical balls kept at equal separation
between them. All the odd number balls move
towards right and even number balls towards left with
∞ same speed. If all the collisions (head-on) are elastic
in nature then the total number of possible collisions
μ0 ⎛ π ⎞ μ0 ⎛ 3 π⎞ will be
2+ (2) 2π ⎜⎜ 1 + 2 ⎟⎟
2π ⎜⎝ ⎟
(1)
2⎠ ⎝ ⎠
(1) 10 (2) 15
μ0 ⎛ π ⎞
(3) ⎜ 3+ ⎟ (4) Zero (3) 21 (4) 24
2π ⎝ 2⎠
35. A body of mass M is having potential energy
30. There are four objects ring, disc, hollow sphere and U(x) = U0(1 – cosdx), where U0 and d are constant.
solid sphere of same mass and same radii and they The time period of small oscillations is
are released from top of rough inclined surface from
same position having same μ but friction is M
insufficient for their pure rolling (for all). Which object (1) 2π MU 0 d 3 (2) 2π U d 2
0
will have more rotational kinetic energy at bottom?
(1) Ring (2) Hollow sphere
U 0d 2 U0
(3) Solid sphere (4) Same for all (3) 2π (4) 2π
M Md 2

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36. A liquid having density ρ is filled over one side of a 38. An Indian pitcher has 10 kg of water. Water cools
square shaped gate, having dimension "a × a" and by means of evaporation through pores. Find the time
it is hinged exactly in the middle. Now an external in which the temperature of water falls by 5ºC is
nearly (Rate of evaporation is 5 g/min)
a
force "F" is applied at a height from the bottom [Cwater = 1 cal/gºC, Lwater = 540 cal/g]
6
to keep it in equilibrium. The magnitude of "F" should (1) 20 min, 10 second
be
(2) 18 min, 30 second
(3) 14 min, 12 second
(4) 10 min, 10 second
ρ
a 39. 3 moles of H2 are mixed with 1 mole of Ne. The
a F 2
specific heat at constant pressure is
6

ρga 3 ρga3 9
R
13
R
(1) (2) (1) (2)
2 4 4 4
ρga 3 ρga3
(3) (4) 9 13
6 8 (3) R (4) R
2 2
37. Two tuning forks when sounded together produce 6
beats per second. The first fork has the frequency 40. Anisotropic solid has linear expansion co-efficient as
3% higher than a certain fixed frequency f0 and the α x , α y , α z for three regular axis. The
second has the frequency 2% less than the f0. The co-efficient of cubical expansion is
frequencies of the forks are
α x + αy + αz
(1) 126.3, 120.3 Hz (1) αx αy αz (2)
3
(2) 162.7, 156.7 Hz
(3) 136.2, 130.2 Hz αxαy
(3) αx + αy + αz (4)
αz
(4) 123.6, 117.6 Hz

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 Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-110005
Ph.: 011-47623456 Fax : 011-47623472

MM : 120 Sample Paper : Campus Recruitment Test Time : 1½ Hr.

Physics (Engineering)

Complete Syllabus of Class XI & XII

1. (4) 11. (3) 21. (1) 31. (2)

2. (1) 12. (2) 22. (1) 32. (1)

3. (1) 13. (4) 23. (4) 33. (3)

4. (1) 14. (4) 24. (4) 34. (3)

5. (4) 15. (3) 25. (3) 35. (2)

6. (1) 16. (1) 26. (1) 36. (2)

7. (1) 17. (2) 27. (3) 37. (4)

8. (3) 18. (3) 28. (1) 38. (2)

9. (1) 19. (4) 29. (4) 39. (2)

10. (2) 20. (1) 30. (3) 40. (3)

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