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JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

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Q 28.  A carrier wave of peak voltage 14V is used for transmitting a message signal given to achieve a modulation index of 80% will be:    [2018]
(1) 22.4V
(2) 7V
(3) 11.2V
(4) 28V
Ans:
(3)
Solution:
Modulation Index-
The ratio of change of amplitude of carrier wave to the amplitude of original carrier wave.
-wherein
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
modulation index (μ) = Am / Ac
Ac = 14v, μ = 0.8
Am = 14 * 0.8 = 11.2V

Q 29.  In a common emitter amplifier circuit using an n-p-n transistor, the phase difference between the input and the output voltages will be    [2017]
(1) 135°
(2) 180°
(3) 45°
(4) 90°
Ans:
(2)
Solution:
In common emitter configuration for n-p-n transistor, phase difference between output and input voltage is 180°.

Q 30. In amplitude modulation, sinusoidal carrier frequency used is denoted by ωc and the signal frequency is denoted by ωm. The bandwidth (Δωm) of the signal is such that Δωm << ωmc. Which of the following frequencies is not contained in the modulated wave?
(1) ωm + ωc
(2) ωc + ωm
(3) ωm
(4) ωc
Ans: 
(3)
Solution:
Modulated wave has frequency range.
ωc ± ωm
∴ Since ωc >> ωm
∴ ωm is excluded.

Q 31. A magnetic dipole in a constant magnetic field has:
(1) maximum potential energy when the torque is maximum
(2) zero potential energy when the torque is minimum
(3) zero potential energy when the  torque is maximum
(4) minimum potential energy when the torque is maximum    [2017]
Ans:
B
Solution:
PE = – PE cos θ
τ = PE sin θ
τmax when θ = 90°
PE = 0

Q 32. A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are on the same plane. The outer loop of radius b carries an alternating current I=Io cos (ωt). The emf induced in the smaller inner loop is nearly:    [2017]
(1) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(2) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(3) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(4) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
Ans:
B
Solution:
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

Q 33. A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on the same table. So, the frequency of vibration of the 8 kg block is:    [2017]
(1) 1/4Hz
(2) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
(3)  1/2 Hz
(4) 2Hz
Ans:
(2)
Solution:
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
k = 4π2
In parallel keq = 2k
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

Q 34.  A uniform magnetic field B of 0.3 T is along the positive Z-direction. A rectangular loop (abcd) of sides 10 cm × 5 cm carries a current I of 12 A. Out of the following different orientations which one corresponds to stable equilibrium?    [2017]
(1)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(2)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(3)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(4)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
Ans: 
(4)
Solution:
M = NIA
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE are on same direction

Q 35. A steel rail of length 5 m and area of cross-section 40 cm2 is prevented from expanding along its length while the temperature rises by 10C. If coefficient of linear expansion and Young’s modulus of steel are 1.2 × 10−5 K−1 and 2 × 1011 Nm−2 respectively, the force developed in the rail is approximately:    [2017]
(1) 2×107 N
(2) 1×105 N
(3) 2×109 N
(4) 3×10−5 N
Ans:
(2)
Solution:
F = yA∝ Δt
= 2 × 1011 × 40 × 10-4 × 1.2 × 10-5 × 10
= 9.6 × 104 = 1 × 105 N

Q 36.  Identify the semiconductor devices whose characteristics are given below, in the order (a), (b), (c), (d):    [2016]
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEEJEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(1) Simple diode, Zener diode, Solar cell, Light dependent resistance
(2) Zener diode, Simple diode, Light dependent resistance, Solar cell
(3) Solar cell, Light dependent resistance, Zener diode, Simple diode
(4) Zener diode, Solar cell, Simple diode, Light dependent resistance
Ans: 
(1)
Solution:
Graph (a) is for a simple diode.
Graph(b) is showing the V Break down used for zener diode.
Graph (c) is for solar cell which shows cut-off voltage and open circuit current
Graph (d) shows the variation of resistance h and hence current with intensity of light.

Q 37. For a common emitter configuration, if a and b have their usual meanings, the incorrect relationship between a and b is:    [2016]
(1) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(2) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(3) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

(4) JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
Ans:
(2)
Solution:
We know that
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
Also Ic = Ib + Ic

JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
Options (1) and (3) are therefore correct.

Q 38. Choose the correct statement :
(1) In amplitude modulation the amplitude of the high frequency carrier wave is made to vary in proportion to the amplitude of the audio signal
(2) In amplitude modulation the frequency of the high frequency carrier wave is made to vary in proportion to the amplitude of the audio signal
(3) In frequency modulation the amplitude of the high frequency carrier wave is made to vary in proportion to the amplitude of the audio signal
(4) In frequency modulation the amplitude of the high frequency carrier wave is made to vary in proportion to the frequency of the audio signal
Ans:
(1)
Solution:
In amplitude modulation, the amplitude of the high frequency carrier wave made to vary in proportional to the amplitude of audio signal.
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

Q 39. If a, b, c, d are inputs to a gate and x is its output, then as per the following time graph, the gate is:    [2016]
(1) NOT
(2) AND
(3) OR
(4) NAND
Ans:
(3)
Solution:
x is 1 when at least one of the inputs is 1.
Hence x is an OR-Gate.

Q 40. An unknown transistor needs to be identified as npn or pnp type. A multimeter, with +ve and –ve terminals, is used to measure resistance between different terminals transistor. If terminal 2 is the base of the transistor then which of the following is correct for a pnp transistor?    [2016]
(1) +ve terminal 3, –ve terminal 2, resistance high
(2) +ve terminal 2, –ve terminal 3, resistance low
(3) +ve terminal 1, –ve terminal 2, resistance high
(4) +ve terminal 2, –ve terminal 1, resistance high
Ans: 
(4)
Solution:
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
when pn junction is forward biased resistance is law. When pn junction is reverse biased, resistance is high

Q 41. An experiment is performed to determine the I - V characteristics of a Zener diode, which has a protective resistance of R= 100 Ω, and maximum dissipation power of rating of 1 Ω. The minimum voltage range of the DC source in the circuit is:    [2016]
(1) 0 - 12V
(2) 0 - 5V
(3) 0 - 20V
(4) 0 - 8V
Ans: 
(3)
Solution:
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

Pzener = (v–100i)i = 1
vi – 100i2 =1
100i2 – vi + 1 = 0
i must be real
v2 –4 (100)≥0
v≥20

Q 42. An audio signal consists of two distinct sounds: one a human speech signal in the frequency band of 200 Hz to 2700 Hz, while the other is a high frequency music signal in the frequency band of 10200 Hz to 15200 Hz. The ratio of the AM signal band width required to send both the signals together to the AM signal band width required to send just the human speech is:     [2016]
(1) 6
(2) 5
(3) 3
(4) 2
Ans.
(1)
Solution: Band width for both signals    15200 Hz –200 Hz = 15000 Hz
Band width for human speech    2700 Hz – 200 Hz = 2500 Hz
The ratio = 150000/25000 = 6

Q 43. A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75°. One of the fields has magnitude of 15 mT. The dipole attains stable equilibrium at an angle 30° with this field. The magnitude of the other field (in mT) is close to:    [2016]
(1) 11
(2) 1060
(3) 36
(4) 1
Ans:
(1)
Solution:
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
B1 sin 30° = B2 sin 45°
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
= 10.60 mT ≈ 11 mT

Q 44. A modulated signal Cm (t) has the form Cm(t) = 30 sin 300πt + 10 (cos 200πt-cos 400πt). The carrier frequency fc, the modulating frequency (message frequency) fω, and the modulation index μ are respectively given by:    [2016]
(1) fc = 200 Hz; fω = 30Hz ; μ = 1/2
(2) fc =  150 Hz; fω = 50Hz ; μ = 2/3
(3) fc = 200 Hz; fω = 50Hz ; μ = 1/2
(4) fc = 150 Hz; fω = 30Hz ; μ = 1/3
Ans:
(2)
Solution:
m(t) = 30 sin (300 πt) + 10 cos (400 πt)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

Q 45. To get an output of 1 from the circuit shown in figure the input must be:  
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE     [2016]
(1) a =1, b =1, c = 0
(2) a =1, b =0, c = 0
(3) a =0, b = 0, c = 1
(4) a =1, b =0, c = 1

Ans: (4)
Solution:
Checking options one by one
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
We must note that c = 1
and output of OR gate must also be 1
therefore
a =1, b =0, c = 1

Q 46. A realistic graph depicting the variation of the reciprocal of input resistance in an input characteristics measurement in a common emitter transistor configuration is:    [2016]
(1)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
(2)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
(3)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
(4)
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
Ans: (1)
Solution:

For common emitter configuration, the input characterstics graph is as shown
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE
JEE Main Previous year questions (2016-20): Modern Physics- 2 Notes | Study Physics For JEE - JEE

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