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MCQ

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50 questions · auto-graded multiple-choice test.

MCQ 11 Mark
In switching circuit, transistor is in $O N$ state, values of $I_E$ and $I_B$ are 10 mA and 0.8 mA respectively and $R_L$ is $2 \mathrm{k} \Omega$. If $V_{C E}$ is 7.6 V , then $V_{C C}$ is ______________ .
  • A
    25 V
  • 26 V
  • C
    23 V
  • D
    24 V
Answer
Correct option: B.
26 V
B
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MCQ 21 Mark
A sample of radioactive element contains $8 \times 10^{16}$ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is ______.
  • A
    $4 \times 10^{16}$
  • B
    $0.5 \times 10^{16}$
  • $7.5 \times 10^{16}$
  • D
    $2 \times 10^{16}$
Answer
Correct option: C.
$7.5 \times 10^{16}$
C
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MCQ 31 Mark
In Bohr's model of hydrogen atom, which of the following pairs of quantities are quantized?
  • A
    Linear and angular momentum.
  • Energy and angular momentum.
  • C
    Energy but not the angular momentum.
  • D
    Energy and linear momentum.
Answer
Correct option: B.
Energy and angular momentum.
B
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MCQ 41 Mark
In hydrogen spectrum, the series of lines obtained in the ultraviolet region of the spectrum is ____________.
  • A
    Balmer series
  • B
    Paschen series
  • C
    Pfund series
  • Lyman series
Answer
Correct option: D.
Lyman series
D
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MCQ 51 Mark
The wavelength '`lambda`' of a photon and de-Broglie wavelength of an electron have same value. The ratio of energy of a photon to kinetic energy of electron is (m = mass of electron, c = velocity of light, h = Planck's constant) ____________.
  • A
    `(2lambda)/"mch"`
  • `(2lambda"mc")/"h"`
  • C
    `(lambda"mc")/(2"h")`
  • D
    `(lambda"m")/(4"h")`
Answer
Correct option: B.
`(2lambda"mc")/"h"`
B
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MCQ 61 Mark
The lowest frequency of light that will cause the emission of photoelectrons from the surface of a metal (for which work function is 1.65 eV) will be ____________.
  • A
    $4 \times 10^{11} \mathrm{~Hz}$
  • B
    $4 \times 10^{-10} \mathrm{~Hz}$
  • $4 \times 10^{14} \mathrm{~Hz}$
  • D
    $4 \times 10^{10} \mathrm{~Hz}$
Answer
Correct option: C.
$4 \times 10^{14} \mathrm{~Hz}$
C
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MCQ 71 Mark
The LCR series and parallel resonant circuits are respectively called as ____________.
  • A
    rejector circuit, acceptor circuit
  • B
    acceptor circuit, acceptor circuit
  • C
    rejector circuit, rejector circuit
  • acceptor circuit, rejector circuit
Answer
Correct option: D.
acceptor circuit, rejector circuit
D
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MCQ 81 Mark
The magnetic field energy in an inductor changes from maximum value to minimum value in 10 ms, when connected to an a.c. source. The frequency of the source is ______.
  • 25 Hz
  • B
    50 Hz
  • C
    500 Hz
  • D
    200 Hz
Answer
Correct option: A.
25 Hz
A
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MCQ 91 Mark
Which one of the following curves represents the variation of impedance (Z) with frequency f in series LCR circuit?
  • A

    Image
  • B

    Image
  • C

    Image

  • Image
Answer
Correct option: D.

Image
D
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MCQ 101 Mark
A graph of magnetic flux `(phi)` versus current (I) is shown for four inductors A, B, C and D. Larger value of self-inductance is for inductor ____________. 
Image
  • A
    D
  • A
  • C
    B
  • D
    C
Answer
Correct option: B.
A
B
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MCQ 111 Mark
A long solenoid carrying current $I_1$ produces magnetic field $B_1$ along its axis. If the current is reduced to 25% and number of turns per cm are increased four times, then new magnetic field $B_2$ is ____________.
  • A
    $16B_1$
  • B
    $4B_1$
  • C
    $"B"_1/4$
  • $B_1$
Answer
Correct option: D.
$B_1$
D
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MCQ 121 Mark
lf the current flowing in a circular loop is in clockwise direction, then the magnetic induction will be ____________.
  • both perpendicular to plane of coil and directed inwards
  • B
    along the direction of current
  • C
    perpendicular to plane of coil
  • D
    directed inwards
Answer
Correct option: A.
both perpendicular to plane of coil and directed inwards
A
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MCQ 131 Mark
The magnetic field developed due to current carrying coil at its centre is 'B'. If the new coil of two turns is prepared from the above coil and same current is passed, then the magnetic field at the centre of the new coil will be ____________.
  • A
    2B
  • 4B
  • C
    `"B"/2`
  • D
    `"B"/4`
Answer
Correct option: B.
4B
B
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MCQ 141 Mark
An electron accelerated through potential difference 'V' passes through a uniform transverse magnetic field and experiences a force 'F'. If the accelerating potential in increased to '2V', the electron in the same magnetic field will experience a force ____________.
  • A
    F
  • B
    3F
  • `sqrt2 "F"`
  • D
    `"F"/2`
Answer
Correct option: C.
`sqrt2 "F"`
C
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MCQ 151 Mark
An ammeter of resistance 200 `Omega` gives full scale deflection when 1 mA current flows through it. What is the maximum current that can be measured by connecting 4 resistors each of 16 `Omega` in parallel with the meter?
  • 6 mA
  • B
    8 mA
  • C
    2 mA
  • D
    4 mA
Answer
Correct option: A.
6 mA
A
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MCQ 161 Mark
A wire has a length of 2m and a resistance of 10Ω. It is connected in series with a resistance of 990Ω and a cell of e.m.f. 2V. The potential gradient along the wire will be ______
  • 0.01 V/m
  • B
    1 V/m
  • C
    0.1 V/m
  • D
    10 V/m
Answer
Correct option: A.
0.01 V/m
A
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MCQ 171 Mark
The resistivity of potentiometer wire is $40 \times 10^{-8} \mathrm{ohm}$ - metre and its area of cross-section is $8 \times 10^{-6} \mathrm{~m}^2$. If 0.2 ampere current is flowing through the wire, the potential gradient of the wire is _______.
  • A
    $10^{-3} \mathrm{~V} / \mathrm{m}$
  • B
    $10^{-1} \mathrm{~V} / \mathrm{m}$
  • C
    $10^{-4} \mathrm{~V} / \mathrm{m}$
  • $10^{-2} \mathrm{~V} / \mathrm{m}$
Answer
Correct option: D.
$10^{-2} \mathrm{~V} / \mathrm{m}$
D
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MCQ 181 Mark
In a metre bridge, the gaps are closed by two resistances P and Q and the balance point is obtained at 40 cm. When Q is shunted by a resistance of 10 Ω, the balance point shifts to 50 cm. The values of P and Q are ______ 
Image
  • A
    10 Ω,15 Ω
  • B
    5 Ω, (15/2) Ω
  • C
    20 Ω, 30 Ω
  • (10/3) Ω, 5 Ω
Answer
Correct option: D.
(10/3) Ω, 5 Ω
D
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MCQ 191 Mark
A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved farther apart by pulling them by means of insulating handles, then ______.
  • A
    the capacitance of the capacitor increases.
  • B
    the charge on the capacitor decreases.
  • the voltage across the capacitor increases.
  • D
    the energy stored in the capacitor decreases.
Answer
Correct option: C.
the voltage across the capacitor increases.
C
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MCQ 201 Mark
The surface density of charge on the surface of a charged conductor in the air is 0.885 `(muC)/m^2`. The outward force per unit area of charged conductor is ______

`(ε_0 = 8.85 xx 10^-12 C^2/(N - m^2))`

  • `4.425 xx 10^-2 N/m^2`
  • B
    `8.85 xx 10^-2 N/m^2`
  • C
    `5 xx 10^-2 N/m^2`
  • D
    `5 xx 10^-3 N/m^2`
Answer
Correct option: A.
`4.425 xx 10^-2 N/m^2`
A
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MCQ 211 Mark
The angular spread of central maximum, in diffraction pattern, does not depend on ______.
  • A
    wavelength of light
  • the distance between the slit and source
  • C
    frequency of light
  • D
    width of slit
Answer
Correct option: B.
the distance between the slit and source
B
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MCQ 221 Mark
In a biprism experiment, the slit separation is 1 mm. Using monochromatic light of wavelength 5000 Å, an interference pattern is obtained on the screen. Where should the screen be moved? so that the change in fringe width is $12.5 \times 10^5 \mathrm{~m}$?
  • A
    Away or towards the slit by 12.5 cm
  • B
    Towards the slit by 10 cm
  • C
    Away from the slit by 5 cm
  • Away or towards the slit by 25 cm
Answer
Correct option: D.
Away or towards the slit by 25 cm
D
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MCQ 231 Mark
In the biprism experiment, fringes are obtained using monochromatic light. The distance between the $5^{th}$ bright band and $9^{th}$ dark band on the same side of the central bright band, in terms of the fringe width 'X' is ______
  • A
    4.5 X
  • B
    3 X
  • 3.5 X
  • D
    4 X
Answer
Correct option: C.
3.5 X
C
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MCQ 241 Mark
Two waves of wavelength 2 m and 2.02 m, with the same speed superimpose to produce 2 beats per second. The speed of each wave is ____________.
  • $404 ms^{-1}$
  • B
    $400 ms^{-1}$
  • C
    $402 ms^{-1}$
  • D
    $406 ms^{-1}$
Answer
Correct option: A.
$404 ms^{-1}$
A
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MCQ 251 Mark
Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B and the tension in A is half that in B. The ratio of the velocities of waves in A and B is ____________.
  • A
    `1 : sqrt2`
  • B
    1 : 2
  • C
    `3 : 2 sqrt2`
  • `1 : 2 sqrt2`
Answer
Correct option: D.
`1 : 2 sqrt2`
D
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MCQ 261 Mark
The resultant amplitude of two waves $y_1 = a sin (ωt + π/6) and y_2 = a$ cos ωt will be ______
  • A
    2a
  • B
    `"a"sqrt2`
  • C
    a
  • `"a"sqrt3`
Answer
Correct option: D.
`"a"sqrt3`
D
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MCQ 271 Mark
A simple pendulum has a length of 2m and a bob of mass of 100 grams. It is whirled in a horizontal plane. If the string breaks under a tension of 10 N, the angle made by the string with vertical is ______$(g = 10 m/s^2)$
  • A
    $ \cos ^{-1}(0.05) $
  • B
    $ \cos ^{-1}(0.2) $
  • $ \cos ^{-1}(0.1) $
  • D
    $ \cos ^{-1}(0.4) $
Answer
Correct option: C.
$ \cos ^{-1}(0.1) $
C
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MCQ 281 Mark
A body executing SHM has amplitude of 4 cm. What is the distance at which the body has equal value of both K.E. and P.E.?
  • A
    `1/sqrt2 "cm"`
  • B
    `sqrt2/6 "cm"`
  • `2 sqrt2 "cm"`
  • D
    `sqrt2 "cm"`
Answer
Correct option: C.
`2 sqrt2 "cm"`
C
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MCQ 291 Mark
For a particle executing simple harmonic motion, which of the following statements is NOT correct?
  • The acceleration of the particle is maximum at the equilibrium position.
  • B
    The restoring force is always directed towards a fixed point.
  • C
    The restoring force is maximum at the extreme positions.
  • D
    The total energy of the particle always remains the same.
Answer
Correct option: A.
The acceleration of the particle is maximum at the equilibrium position.
A
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MCQ 301 Mark
Two spheres $S_1$ and $S_2$ have radii 'R' and '3R', temperature 'T' K and. `"T"/3` K respectively. If 3 they are coated with a material of same emissivity, rate of radiation of $S_1$ is E then rate of radiation of $S_2$ is ______.(spheres are of the same material)
  • $"E"/9$
  • B
    $"E"/3$
  • C
    $"E"/12$
  • D
    $`"E"/6$
Answer
Correct option: A.
$"E"/9$
A
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MCQ 311 Mark
The average translational kinetic energy of a molecule in a gas is $E_1$. The kinetic energy of the electron (e) accelerated from rest through p.d. 'V' volt is $E_2$. The temperature at which $E_1= E_2$ is possible, is ______.
  • A
    `(3"VNe")/(2"R")`
  • B
    `(2"VNe")/(2"R")`
  • C
    `("VNe")/("R")`
  • `(2"VNe")/(3"R")`
Answer
Correct option: D.
`(2"VNe")/(3"R")`
D
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MCQ 321 Mark
Two vessels separately contain two ideal gases A and B at the same temperature. The pressure of A is twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weights of A and B is ______.
  • A
    `2/3`
  • B
    `1/2`
  • C
    2
  • `3/4`
Answer
Correct option: D.
`3/4`
D
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MCQ 331 Mark
The velocity of water in river is 8 km/hr of the upper surface. The river is 12 m deep. If the coefficient of viscosity of water is $10^{-2}$ poise then the shearing stress between horizontal layers of water is ______.
  • A
    $0.75 \times 10^{-3} N / m ^2$
  • $1.85 \times 10^{-3} N / m ^2$
  • C
    $1.5 \times 10^{-3} N / m ^2$
  • D
    $0.25 \times 10^{-2} N / m ^2$
Answer
Correct option: B.
$1.85 \times 10^{-3} N / m ^2$
B
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MCQ 341 Mark
Water rises to a height 3 cm in a capillary tube. If cross-sectional area of capillary tube is reduced to `(1/9)^"th"` of the initial area then water will rise to a height of ______.
  • A
    6 cm
  • B
    7 cm
  • C
    8 cm
  • 9 cm
Answer
Correct option: D.
9 cm
D
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MCQ 351 Mark
A fix number of spherical drops of a liquid of radius 'r' coalesce to form a large drop of radius 'R' and volume 'V'. If 'T' is the surface tension then energy ______.
  • A
    `3"VT"(1/r-1/R)` is absorbed
  • B
    is neither released nor absorbed
  • `3"VT"(1/r-1/R)` is released
  • D
    `4"VT"(1/r-1/R)` is released
Answer
Correct option: C.
`3"VT"(1/r-1/R)` is released
C
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MCQ 361 Mark
The power (P) is supplied to rotating body having moment of inertia 'I' and angular acceleration 'α'. Its instantaneous angular velocity is ______.
  • A
    `"I"/("P"alpha)`
  • B
    `alpha/("PI")`
  • `"P"/("I"alpha)`
  • D
    PIα
Answer
Correct option: C.
`"P"/("I"alpha)`
C
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MCQ 371 Mark
A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which is fixed) with an angular velocity of 4 radian/s. The linear momentum of the disc is ____________.
  • A
    0.6 kgm/s
  • B
    0.5 kgm/s
  • C
    1.0 kgm/s
  • 1.2 kgm/s
Answer
Correct option: D.
1.2 kgm/s
D
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MCQ 381 Mark
Figure shows triangular lamina which can rotate about different axis of rotation. Moment of inertia is maximum about the axis ______. 
Image
  • A
    QS
  • B
    PR
  • C
    PQ
  • QR
Answer
Correct option: D.
QR
D
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MCQ 391 Mark
A flywheel of mass 20 kg and radius 5 cm is revolving at a speed of 300 rpm. Its kinetic energy is ______.
  • A
    `25/pi` J
  • B
    3.6`pi^2` J
  • 2.5`pi^2` J
  • D
    1.6 `pi^2` J
Answer
Correct option: C.
2.5`pi^2` J
C
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MCQ 401 Mark
In the case of conical pendulum, if 'T' is the tension in the string and 'θ' is the semi-vertical angle of cone, then the component which provides necessary centripetal force is ______.
  • A
    `(T sin θ)/2`
  • B
    T tan θ
  • C
    T cos θ
  • T sin θ
Answer
Correct option: D.
T sin θ
D
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MCQ 411 Mark
Electrical conductivity of insulators is ______.
  • A
    sometimes small and sometimes large
  • extremely small
  • C
    extremely large
  • D
    exactly zero
Answer
Correct option: B.
extremely small
B
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MCQ 421 Mark
A metal sphere of radius 1 cm is given a charge of 3.14 µC. Find the electric intensity at a distance of 1 m from the centre of sphere.`[epsilon_0 = 8.85 xx 10^-12 "F"//m]`
  • A
    $2.14 \times 10^4 N / C$
  • B
    $2.5 \times 10^4 N / C$
  • $2.83 \times 10^4 N / C$
  • D
    $3.32 \times 10^4 N / C$
Answer
Correct option: C.
$2.83 \times 10^4 N / C$
C
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MCQ 431 Mark
A plano-convex lens is made of material having refractive index 1.5. The radius of curvature of curved surface is 40 cm. The focal length of the lens is ____________ cm.
  • A
    - 120
  • B
    - 80
  • 80
  • D
    120
Answer
Correct option: C.
80
C
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MCQ 441 Mark
If a star appearing yellow starts accelerating towards the earth, its colour appears to be turned ______.
  • A
    suddenly red
  • B
    suddenly blue
  • C
    gradually red
  • gradually blue
Answer
Correct option: D.
gradually blue
D
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MCQ 451 Mark
The frequency of a tuning fork is 220 Hz and the velocity of sound in air is 330 m/s. When the tuning fork completes 80 vibrations, the distance travelled by the ______.
  • A
    53 m
  • 120 m
  • C
    60 m
  • D
    100 m
Answer
Correct option: B.
120 m
B
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MCQ 461 Mark
Which of the following substances (A, B and C) has the highest specific beat? 
Image
  • A
    B
  • C
  • C
    All have equal specific heat
  • D
    A
Answer
Correct option: B.
C
B
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MCQ 471 Mark
The ratio of energy required to raise a satellite to a height `(2R)/3` above earth's surface to that required to put it into the orbit at the same height is ______.

R = radius of the earth

  • 4 : 3
  • B
    3 : 2
  • C
    3 : 1
  • D
    2 : 1
Answer
Correct option: A.
4 : 3
A
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MCQ 481 Mark
Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3v, the speed of satellite B is ____________.
  • A
    `(3"v")/2`
  • B
    `(4"v")/3`
  • 6v
  • D
    12 v
Answer
Correct option: C.
6v
C
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MCQ 491 Mark
A particle of mass 'm' collides with another stationary particle of mass 'M'. A particle of mass 'm' stops just after collision. The coefficient of restitution is ______.
  • m/M
  • B
    M/m
  • C
    `(M-m)/(M+m)`
  • D
    `(m+M)/m`
Answer
Correct option: A.
m/M
A
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MCQ 501 Mark
The velocity of a projectile at the initial point A is `(5 hat "i" + 2 hat "j")` m/s. Its velocity (in m/s) at point B is ____________. 
Image
  • A
    `-5 hat "i" + 2 hat "j"`
  • B
    `-5 hat "i" - 2 hat "j"`
  • C
    `5 hat "i" + 2 hat "j"`
  • `5 hat "i" - 2 hat "j"`
Answer
Correct option: D.
`5 hat "i" - 2 hat "j"`
D
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