Assam CEE 2023 Sample Paper Physics

Sample Paper

Physics

Q.No. 1 A stationary observer receives sound from two identical tuning forks, one of which approaches and
the other one recedes with the same speed (much less than the speed of sound). The observer hears 2
beats/sec. The oscillation frequency of each tuning fork is v0 = 1400 Hz and the velocity of sound in air is
350 m/s. The speed of each tuning fork is close to :

(A) ½ m/s

(B) 1 m/s

(C) ¼ m/s

(D) ⅛ m/s

Q.No. 2 A metal ball of mass 0.1 kg is heated upto 500°C and dropped into a vessel of heat capacity
800JK
−1
and containing 0.5 kg water. The initial temperature of water and vessel is 30°C. What is the
approximate percentage increment in the temperature of the water ? [ Specific Heat Capacities of water and
metal are, respectively, 4200Jkg K and 400Jkg K J Jkg-IK-1]
−1 −1 −1 −1

(A) 30%

(B) 20 %

(C) 25 %

(D) 15%

Q.No. 3 Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section
1.0 mm2 is 90 ms -1. If the young’s modulus of wire is 16 x 1011 Nm-2, the extension of wire over its natural
length is :

(A) 0.03 mm

(B) 0.02 mm

(C) 0.04 mm

(D) 0.01 mm

Q.No. 4 Visible light of wavelength 6000 X 10-8 cm falls normally on a single slit and produces a diffraction
pattern. It is found that the second diffraction minimum is at 60° from the central maximum. If the first
minimum is produced at θ1 , then θ1 is close to :

(A) 20°

(B) 30°

(C) 25°

(D) 45°

Q.No. 5 A musician using an open flute of length 50 cm produces second harmonic sound waves. A person
runs towards the musician from another end of a hall at a speed of 10 km/h. If the wave speed is 330 m/s, the
frequency heard by the running person shall be close to :

(A) 500 Hz

(B) 753 Hz

(C) 666 Hz

(D) 333 Hz

Q.No. 6 In the figure shown, a circuit contains two identical resistors with resistance R=5Ω and an
inductance with L=2 mH. An ideal battery of 15 V is connected in the circuit. What will be the current

through the battery long after the switch is closed ?

(A) 3 A

(B) 5.5 A

(C) 7.5 A

(D) 6 A

Q.No. 7 Two rods A and B of identical dimensions are at temperature 30°C. If A is heated upto 180°C and B
upto T°C, then the new lengths are the same. If the ratio of the coefficients of linear expansion of A and B is
4:3, then the value of T is :

(A) 200°C

(B) 250°C

(C) 270°C

(D) 230°C

Q.No. 8 Formation of real image using a biconvex lens is shown below :

If the whole set up is immersed in water without disturbing the
object and the screen positions, what will one observe on the screen?

(A) Image disappears

(B) Magnified image

(C) Erect real image

(D) No change

Q.No. 9 A travelling harmonic wave is represented by the equation y(x, t) = 10 sin(50t + 2x),where x
−3

and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?

(A) The wave is propagating along the positive x-axis with speed 25 ms⁻¹.

(B) The wave is propagating along the positive x-axis with speed 100 ms⁻¹..

(C) The wave is propagating along the negative x-axis with speed 25 ms⁻¹..

(D) The wave is propagating along the negative x-axis with speed 100 ms⁻¹.

Q.No. 10 A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and
carrying a current of 5.2 A. The coercivity of the bar magnet is

(A) 520 A/m

(B) 1200 A/m

(C) 2600 A/m

(D) 285 A/m

Q.No. 11 A capacitance of 2 μF is required in an electrical circuit across a potential difference of 1.0 kV. A
large number of 1 μF capacitors are available which can with stand a potential difference of not more than
300 V. The minimum number of capacitors required to achieve this is :

(A) 2

(B) 16

(C) 24

(D) 32

Q.No. 12 An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and
minimum diameters of the pipes are 6.4 cm and 8 cm. respectively. The ratio of the minimum and the
maximum velocities of fluid in this pipe

(A) 9/16

(B) (√3) /2

(C) 3/4

(D) 81/256

Q.No. 13 The circuit shown below contains two ideal diodes, each with a forward resistance of 50 Ω . If the
battery voltage is 6 V, the current through the 100 Ω resistance(in Amperes) is :

(A) 0.027

(B) 0.030

(C) 0.036

(D) 0.020

Q.No. 14 In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing

through resistance R and R respectively, are :
1 2

(A) 0,1

(B) 1, 2

(C) 0.5, 0

(D) 2,2

Q.No. 15 Two Carnot engines A and B are operated in series. The first one, A, receives heat at T,(=600 K)
and rejects to a reservoir at temperature T . The second engine B receives heat rejected by the first engine
2

and, in turn, rejects to a heat reservoir at T3(=400 K). Calculate the temperature T (= 400K) if the work
3

outputs of the two engines are equal :

(A) 500 K

(B) 300 K

(C) 400 K

(D) 600 K

Q.No. 16 A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid
of refractive index 1.42. If its focal length in liquid is f1, then the ratio f1/ f is closest to the integer :

(A) 1

(B) 9

(C) 5

(D) 17

Q.No. 17 The time period of revolution of the electron in its ground state orbit in a hydrogen atom is 1.6 x 10
-16 s. The frequency of revolution of the electron in its first excited state (in s-1) is :

(A) 1.6 x 1014

(B) 7.8 x 1014

(C) 6.2 x 10 15

(D) 5.6 x 10 12

Q.No. 18 The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure:

What is the value of current at t = 4s ?

(A) 3μA

(B) zero

(C) 1.5 μA

(D) 2 μA

Q.No. 19 Which of the following gives a reversible operation ?

(A)

(B)

(C)

(D)

Q.No. 20 Two electric dipoles, A, B with respective dipole moments d→ = −4qa^i and d→ = −2qai are
A B

placed on the x-axis with a separation R, as shown in the figure The distance from Aat
which both of them produce the same potential is :

(A) √ 2R

√ 2+1

(B) √ 2R

√ 2−1

(C) R

√ 2+1

(D) R

√ 2−1

Q.No. 21 A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b< c) such that
their surface charge densities are equal to one another. The total potential at a point at a distance r from their
common center, where r < a, would be.

(A)
Q(a+b+c)
2 2 2
4πϵ0(a +b +c )

(B) Q

12πc0
ab+bc+ca

abc

2 2 2
Q(a +b +c )
(C) 3
4πc0(a +b +c )
3 3

(D) Q

4πϵ0(a+b+c)

Q.No. 22 The region between y=0 and y=d contains a magnetic field B → = Bz. A particle of mass m and
charge q enters the region with a velocity v→ = v^i. If d = the acceleration of the charged particle at the
mv
2qB

point of its emergence at the other side is :
^
i+^
(A) qvB j
( )
m √2

^ ^
(B) qvB

m
(
−j+i

√2
)

(C) qvB

m
(
√3

2
i +
1

2
i)

(D) qvB

m
(
1

2
^
i −
√3

2
^
j)

Q.No. 23 A metallic rod of length ‘l’ is tied to a string of length 2l
and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a
vertical magnetic field ‘B’ in the region, the e.m.f. induced across the ends of the rod is:

(A) (3Bωl2)/2

(B) (4Bωl2)/2

(C) (5Bωl2)/2

(D) (2Bωl2)/2

Q.No. 24 An ideal gas occupies a volume of 2 m3 at a pressure of 3 x 10⁶ Pa. The energy of the gas is :

(A) 9 x 10⁶ J

(B) 3 x 10² J

(C) 6 x 10⁴ J

(D) 10⁸ J
2

Q.No. 25 The dimension of B

2μ0
, where B is magnetic field and μ0 is the magnetic permeability of vacuum,
is

(A) MLT-2

(B) MLT2T-1

(C) ML2T-2

(D) ML-1T-2

Q.No. 26 At a given instant, say t=0, two radioactives substances A and B have equal activities. The ratio RB

RA

of their activities after time t itself decays with time t as e . If the half-life of A is In2, the half-life of B is:
−3t

(A) ln2/4

(B) In2/2

(C) 4ln2

(D) 2ln2

Q.No. 27 In In a process, temperature and volume of one mole of an ideal monoatomic gas are varied
according to the relation VT =K. where K is a constant. In this process the temperature of the gas is increased
by AT. The amount of heat absorbed by gas is (R is gas constant) :

(A) 1

2
KRΔT

(B) 3

2
RΔT

(C) 1

2
RΔT

(D) 2K

3
ΔT

Q.No. 28

(A) 64kΩ ± 10%

(B) 530kΩ ± 5%

(C) 5.3MΩ ± 5%

(D) 6.4MΩ ± 5%

Q.No. 29 The mass and the diameter of a planet are three times the respective values for the Earth. The
period of oscillation of a simple pendulum on the Earth is 2 s. The period of oscillation of the same
pendulum on the planet would be:

(A) 2√3s

(B) √3

2
s

(C) 3

2
s

(D) √3
2
s

Q.No. 30 A resistance is shown in the figure. Its value and tolerance are given respectively by :

(A) 27 kΩ, 20%

(B) 270 Ω, 10%

(C) 270 Ω,5%

(D) 27 kΩ, 10%

Q.No. 31 A mixture of 2 moles of helium gas (atomic mass=4u), and 1 mole of argon gas (atomic mass=
40u) is kept at 300 K in a container. The ratio of their rms speeds [ ], is close to:
V rms ( helium )

V rms ( argon )

(A) 2.24

(B) 0.32

(C) 0.45

(D) 3.16

Q.No. 32 A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27°C. Amount of heat
transferred to the gas, so that rms velocity of molecules is doubled, is about : (Take R=8.3J/K mole)

(A) 14 kJ

(B) 10 kJ

(C) 0.9 kJ

(D) 6 kJ

Q.No. 33 The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 m water
per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from
the level of water in the tank is close to :

(A) 9.6 m

(B) 6.0 m

(C) 2.9 m

(D) 4.8 m

Q.No. 34 Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The
dimension of (l /rcv) in SI units will be:

(A) [LA −2
]

(B) [LT ] 2

(C) [A −1
]

(D) [LTA]

Q.No. 35 If the series limit frequency of the Lyman series is νL, then the series limit frequency of the Pfund
series is :

(A) 25 νL

(B) 16 νL

(C) νL / 16

(D) νL / 25

Q.No. 36 To double the covering range of a TV transmission tower, its height should be multiplied by :

(A) √2
1

(B) 2

(C) 4

(D) √2

Q.No. 37 A magnetic needle of magnetic moment 6.7×10−2 Am2 and moment of inertia 7.5×10−6 kg m2 is
performing simple harmonic oscillations in a magnetic field of 0.01 T. Time taken for 10 complete
oscillations is :

(A) 6.65 s

(B) 8.89 s

(C) 6.98 s

(D) 8.76 s

Q.No. 38 Two masses m and m/2 are connected at the two ends of a massless rigid rod of length l. The rod is
suspended by a thin wire of torsional constant k at the centre of mass of the rod-mass system(see figure).
Because of torsional constant k, the restoring torque is τ = kθ for angular displacement θ. If the rod is rotated

by θₒ, and released, the tension in it when it passes through its mean position will be:

(A) Kθₒ² / 2l

(B) 3Kθₒ² / l

(C) Kθₒ² / l

(D) 2Kθₒ² / l

Q.No. 39 In the above circuit, C = √3

2
μF, R2 = 20n ,
L =
√3

10
. Current in L-R₁ path I₁ and in C-R₂ path it is I₂. The voltage of A.C source is
H and R1 = 10Ω

given by, V = 200√2 sin(100t) volts. The phase difference between I₁ and I₂ is :

(A) 0º

(B) 30º

(C) 90º

(D) 60º

Q.No. 40 A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical
plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and
then released. The angular acceleration of the rod when it makes an angle θ with the vertical is :

(A) 3g/2l sinθ

(B) 2g/3l sinθ

(C) 3g/2l cosθ

(D) 2g/3l cosθ

Answer Sheet
Q.No Answer
Q.No. 1 (C)
Q.No. 2 (B)
Q.No. 3 (A)
Q.No. 4 (C)
Q.No. 5 (C)
Q.No. 6 (D)
Q.No. 7 (D)

Q.No. 8 (A)
Q.No. 9 (C)
Q.No. 10 (C)
Q.No. 11 (D)

Q.No. 12 (A)
Q.No. 13 (D)
Q.No. 14 (C)
Q.No. 15 (A)
Q.No. 16 (B)
Q.No. 17 (B)
Q.No. 18 (B)
Q.No. 19 (D)
Q.No. 20 (B)
Q.No. 21 (A)
Q.No. 22 (D)
Q.No. 23 (C)
Q.No. 24 (A)
Q.No. 25 (D)
Q.No. 26 (A)
Q.No. 27 (C)
Q.No. 28 (B)
Q.No. 29 (A)
Q.No. 30 (D)
Q.No. 31 (D)
Q.No. 32 (B)
Q.No. 33 (D)
Q.No. 34 (C)
Q.No. 35 (D)
Q.No. 36 (C)
Q.No. 37 (A)
Q.No. 38 (C)
Q.No. 39 (D)
Q.No. 40 (A)