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MCQ

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MCQ 11 Mark
In a transistor, the thickness of the base region ____________.
  • A
    is equal to the thickness of the collector
  • is very small as compared to the thickness of emitter and collector
  • C
    is equal to the thickness of the emitter
  • D
    is very large as compared to the thickness of the emitter and collector
Answer
Correct option: B.
is very small as compared to the thickness of emitter and collector
B
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MCQ 21 Mark
What is the value of output voltage $V _0$ in the given circuit? 
Image
  • A
    7 V
  • B
    14 V
  • C
    42 V
  • 6 V
Answer
Correct option: D.
6 V
D
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MCQ 31 Mark
The activity of a radioactive sample ____________.
  • A
    can be increased by heating it
  • B
    is independent of physical parameters
  • Both is independent of physical parameters and cannot be increased by any method
  • D
    cannot be increased by any method
Answer
Correct option: C.
Both is independent of physical parameters and cannot be increased by any method
C
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MCQ 41 Mark
The electron of mass 'm' is rotating in first Bohr orbit of radius 'r' in hydrogen atom. The orbital acceleration of the electron in first orbit is ______.

(b =Planck's constant)

  • `h^2/(4pi^2m^2r^3)`
  • B
    `h^2/(2pi^2m^2r^2)`
  • C
    `h/(4pi^2mr^3)`
  • D
    `h/(2pi^2m^2r^2)`
Answer
Correct option: A.
`h^2/(4pi^2m^2r^3)`
A
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MCQ 51 Mark
When an electron in hydrogen atom is excited from its $3^{\text {rd }}$ to $5^{\text {th }}$ stationary orbit, tbe change in angular momentum of electron is (Planck's constant: $h =6.62 \times 10-{ }^{34} Js$ ) ____________.
  • $2.11 \times 10^{-34} Js$
  • B
    $5.26 \times 10^{-34} Js$
  • C
    $3.16 \times 10^{-34} Js$
  • D
    $1.08 \times 10^{-34} Js$
Answer
Correct option: A.
$2.11 \times 10^{-34} Js$
A
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MCQ 61 Mark
For a certain atom when the system moves from 2E level to E, a photon of wavelength `lambda` is emitted. The wavelength of photon produced during its transition from `(4"E")/3` level to E is ____________.
  • A
    `lambda/3`
  • B
    `(4lambda)/3`
  • `3lambda`
  • D
    `(3lambda)/4`
Answer
Correct option: C.
`3lambda`
C
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MCQ 71 Mark
Let $v_1$ and $v_3$ be the frequency for series limit of Balmer and Paschen series respectively. If the frequency of first line of Balmer series is $v_2$ then, relation between $v_1$ and $v_2$ and $v_3$ is .........
  • $v _1- v _2= v _3$
  • B
    $v _1+ v _3= v _2$
  • C
    $v _1+ v _2= v _3$
  • D
    $v _2- v _1= v _3$
Answer
Correct option: A.
$v _1- v _2= v _3$
A
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MCQ 81 Mark
A particle of charge q, mass m and energy E has de-Broglie wavelength `lambda.` For a particle of charge 2q, mass 2m and energy 2E, the de-Broglie wavelength is ____________.
  • `lambda/2`
  • B
    `8 lambda`
  • C
    `2 lambda`
  • D
    `lambda/4`
Answer
Correct option: A.
`lambda/2`
A
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MCQ 91 Mark
When a photosensitive surface is irradiated by lights of wavelengths $`lambda_1`$ and $`lambda_2`$, kinetic energies of emitted photoelectrons are $E_1$ and $E_2$ respectively. The work function of the photosensitive surface is ____________.
  • A
    $`(lambda_1 "E"_1 + lambda_2 "E"_2)/(lambda_2 - lambda_1)`$
  • $`(lambda_1 "E"_1 + lambda_2 "E"_2)/(lambda_2 - lambda_1)`$
  • C
    $`(lambda_2 "E"_1 + lambda_2 "E"_2)/(lambda_2 - lambda_1)`$
  • D
    $`(lambda_2 "E"_2 + lambda_1 "E"_1)/(lambda_2 - lambda_1)`$
Answer
Correct option: B.
$`(lambda_1 "E"_1 + lambda_2 "E"_2)/(lambda_2 - lambda_1)`$
B
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MCQ 101 Mark
Which one of the following is TRUE in photoelectric emission?
  • The number of photoelectrons emitted is directly proportional to the intensity of light of a given frequency at moderate intensities.
  • B
    Photoelectric current is directly proportional to the amplitude of light of a given frequency.
  • C
    The threshold frequency depends upon the wavelength of incident light.
  • D
    Above the threshold frequency, the maximum K.E. of photoelectrons is inversely proportional to the frequency of incident light.
Answer
Correct option: A.
The number of photoelectrons emitted is directly proportional to the intensity of light of a given frequency at moderate intensities.
A
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MCQ 111 Mark
In rejector circuit, above resonant frequency the circuit is ____________.
  • only capacitive
  • B
    only inductive
  • C
    only ohmic resistance contained
  • D
    both capacitive as well as inductive
Answer
Correct option: A.
only capacitive
A
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MCQ 121 Mark
The voltage gain of a CE amplifier is 50. A sinusoidal ac of amplitude 10 mV is applied as a signal. The output of the amplifier will be ______.
  • A
    DC voltage of 50 mV magnitude
  • B
    Square ac voltage of amplitude 50 mV
  • Sinusoidal ac voltage of amplitude 500mV
  • D
    DC voltage of 500 mV magnitude
Answer
Correct option: C.
Sinusoidal ac voltage of amplitude 500mV
C
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MCQ 131 Mark
The reactance of a capacitor in an A.C. circuit is 20 Ω. If the frequency of A.C. is doubled, its reactance will become ______.
  • A
    5 Ω
  • B
    20 Ω
  • C
    15 Ω
  • 10 Ω
Answer
Correct option: D.
10 Ω
D
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MCQ 141 Mark
The magnetic potential energy stored in a certain inductor is 15 mJ, when the current in the inductor is 40 mA. This inductor is of inductance ____________.
  • A
    0.138 H
  • B
    1.875 H
  • C
    13.89 H
  • 18.75 H
Answer
Correct option: D.
18.75 H
D
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MCQ 151 Mark
An electron moves on a straight line path XY as shown. The abed is a coil adjacent to the path of electron. What will be the direction of current, if any, induced in the coil? 
Image
  • A
    abcd
  • The current will reverse its direction as the electron goes past the coil
  • C
    adcb
  • D
    No current induced
Answer
Correct option: B.
The current will reverse its direction as the electron goes past the coil
B
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MCQ 161 Mark
A small quantity of paramagnetic liquid is taken in a watch - glass and kept on two dissimilar magnetic poles. The liquid ____________.
  • A
    Shows depression in the middle
  • shows elevation in the middle
  • C
    is first elevated and then depressed
  • D
    shows no change in the level
Answer
Correct option: B.
shows elevation in the middle
B
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MCQ 171 Mark
A bar magnet of magnetic moment $5 Am ^2$ is placed in a uniform magnetic induction $3 \times 10^{-5} T$. If each pole of a magnet experiences a force of $2.5 \times 10^{-4} N$ then the magnetic length of the magnet is ............
  • A
    0.8 m
  • B
    0.2 m
  • C
    0.4 m
  • 0.6 m
Answer
Correct option: D.
0.6 m
D
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MCQ 181 Mark
A circular arc of radius 'r' carrying current 'I' subtends on angle `pi/16` at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is ____________.
  • A
    `(mu_0 "I")/(8 "r")`
  • B
    `(mu_0 "I")/(16 "r")`
  • `(mu_0 "I")/(64 "r")`
  • D
    `(mu_0 "I")/(32 "r")`
Answer
Correct option: C.
`(mu_0 "I")/(64 "r")`
C
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MCQ 191 Mark
The magnetic field at the centre of coil of n turns, bent in the form of a square of side `2l`, carrying current i, is ____________.
  • A
    `(sqrt2 mu_0 "nI")/(4pil)`
  • B
    `(2 mu_0 "nI")/(pil)`
  • `(sqrt2 mu_0 "nI")/(pil)`
  • D
    `(sqrt2 mu_0 "nI")/(2pil)`
Answer
Correct option: C.
`(sqrt2 mu_0 "nI")/(pil)`
C
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MCQ 201 Mark
If a particle of charge $10^{12}$ coulomb moving along the "hat" $x$ " - direction with a velocity $10^2 m / s$ experiences a force of 1 o-s newton in "hat"y" - "direction due to magnetic field, then the minimum magnetic field is .................
  • $`100 "tesla in" hat"z" - "direction"`$
  • B
    $`10^-15 "tesla in" hat"z" - "direction"`$
  • C
    $`6.25 xx 10^3 "tesla in" hat"z" - "direction"`$
  • D
    $`6.25 xx 10^-3 "tesla in" hat"z" - "direction"`$
Answer
Correct option: A.
$`100 "tesla in" hat"z" - "direction"`$
A
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MCQ 211 Mark
In an ammeter 0.2 % of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be ____________.
  • A
    `500/499 "G"`
  • B
    `499/500 "G"`
  • C
    `1/499 "G"`
  • `1/500 "G"`
Answer
Correct option: D.
`1/500 "G"`
D
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MCQ 221 Mark
If the length of potentiometer wire is increased, then the length of the previously obtained balance point will ______.
  • A
    remain unchanged
  • B
    decrease
  • C
    become two times
  • increase
Answer
Correct option: D.
increase
D
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MCQ 231 Mark
In the given figure, battery E is balanced on 55 cm length of potentiometer wire but when a resistance of 10 `Omega` is connected in parallel with the battery, then it balances on 50 cm length of the potentiometer wire. The internal resistance r of the battery is ____________. 
Image
  • `1 Omega`
  • B
    `10 Omega`
  • C
    `5 Omega`
  • D
    `3 Omega`
Answer
Correct option: A.
`1 Omega`
A
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MCQ 241 Mark
Two cells when connected in series are balanced on 8 m on a potentiometer. If the cells are connected with polarities of one of the cell reversed, they balance on 2 m. The ratio of e.m.f's of the two cells is ____________.
  • A
    3 : 4
  • B
    3 : 5
  • C
    4 : 3
  • 5 : 3
Answer
Correct option: D.
5 : 3
D
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MCQ 251 Mark
The resistance of the potentiometer wire should ideally be ____________.
  • infinite
  • B
    zero
  • C
    Jess than the internal resistance of the cell connected
  • D
    equal to internal resistance of the cell connected
Answer
Correct option: A.
infinite
A
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MCQ 261 Mark
The figure shows a network of currents. The magnitude of currents is shown here. The current I will be ______ 
Image
  • A
    3 A
  • 13 A
  • C
    19 A
  • D
    9 A
Answer
Correct option: B.
13 A
B
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MCQ 271 Mark
A capacitor of capacitance $2 \mu F$ is charged to a potential of 100 V and another capacitance $6 \mu F$ is charged to a potential of 300 V . These capacitors are joined, with plates of like charges connected together, the total charge is____________.
  • A
    $16 \times 10^{-4} C$
  • $20 \times 10^{-4} C$
  • C
    $24 \times 10^{-4} C$
  • D
    $18 \times 10^{-4} C$
Answer
Correct option: B.
$20 \times 10^{-4} C$
B
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MCQ 281 Mark
When wavelength of light used in optical instruments A and B are 4500 Å and 6000 Å respectively, the ratio of resolving power of A to B will be ______.
  • 4 : 3
  • B
    9 : 16
  • C
    7 : 1
  • D
    16 : 9
Answer
Correct option: A.
4 : 3
A
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MCQ 291 Mark
For Fraunhofer diffraction to occur ____________.
  • both source and screen should be at infinity
  • B
    only the source should be at finite distance
  • C
    light source should be at infinity
  • D
    both source and screen should be at finite distance
Answer
Correct option: A.
both source and screen should be at infinity
A
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MCQ 301 Mark
When unpolarised light is passed through crossed polaroids, then light passing through the first polaroid ______
  • A
    passes with greater intensity
  • B
    partially passes through the second polaroid
  • is blocked by the second polaroid
  • D
    also passes through the second polaroid
Answer
Correct option: C.
is blocked by the second polaroid
C
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MCQ 311 Mark
A pipe closed at one end produces a fundamental note of frequency 'v'. It is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are ______.
  • A
    `"v"/2, `v
  • B
    `"v"/2, `2v
  • C
    v, 2v
  • 2v, 4v
Answer
Correct option: D.
2v, 4v
D
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MCQ 321 Mark
Two waves represented by the following equations are travelling in the same medium

`y_1 = 5 sin 2pi(75t - 0.25 x)`

`y_2 = 10 sin 2pi(150t - 0.50 x)`

The intensity ratio `"I"_1/"I"_2` of the two waves is ______

  • A
    1 : 8
  • B
    1 : 16
  • 1 : 4
  • D
    1 : 2
Answer
Correct option: C.
1 : 4
C
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MCQ 331 Mark
Two simple pendulums A and B are made to oscillate simultaneously and it is found that A completes 10 oscillations in 20 sec and B completes 8 oscillations in 10 sec. The ratio of the lengths of A and B is ____________.
  • A
    `5/4`
  • `64/25`
  • C
    `8/5`
  • D
    `25/64`
Answer
Correct option: B.
`64/25`
B
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MCQ 341 Mark
A particle executes simple harmonic motion and is located at $x = a, b$, and $c$ at times $t _0, 2 t _0$, and $3 t _0$ respectively. The frequency of the oscillation is ______.
  • A
    $`1/2pi"t"_0 cos^-1((2a + 3c)/(b))`$
  • B
    $`1/2pi"t"_0 cos^-1((a + c)/(2c))`$
  • C
    $`1/2pi"t"_0 cos^-1((a + 2b)/(2b))`$
  • $`1/2pi"t"_0 cos^-1((a + c)/(2b))`$
Answer
Correct option: D.
$`1/2pi"t"_0 cos^-1((a + c)/(2b))`$
D
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MCQ 351 Mark
Kirchhoff's law of radiation proves that a good emitter is a ______.
  • good absorber of heat
  • B
    bad absorber of heat
  • C
    good reflector of heat
  • D
    good transmitter of heat
Answer
Correct option: A.
good absorber of heat
A
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MCQ 361 Mark
A container has a mixture of two gases, hydrogen, and oxygen at room temperature. Which one of the following statements is true, if $V_H$ and $V_O$are the root mean square velocities of hydrogen and oxygen molecules respectively?
  • A
    $V_H$
  • B
    Data is insufficient
  • C
    $V_H=V_O$
  • $V_H>V_O$
Answer
Correct option: D.
$V_H>V_O$
D
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MCQ 371 Mark
If a capillary tube is dipped in water in a state of weightlessness, then water will ______.
  • A
    rise to the height below that observed under normal condition.
  • B
    not rise in the tube.
  • rise to the maximum available height of the tube.
  • D
    rise to the height observed under normal condition.
Answer
Correct option: C.
rise to the maximum available height of the tube.
C
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MCQ 381 Mark
Two spherical soap bubbles of radii $r_1$ and $r_2$ in vacuum coalesce under isothermal conditions. The resulting bubble has a radius R such that ____________.
  • A
    $R = (r_1+r_2)/2 $
  • B
    $R = [{r_1}{r_2}/(r_1+r_2)]$
  • C
    $R = r_1+r_2$
  • $`"R" = sqrt("r"_1^2 + "r"_2^2)`$
Answer
Correct option: D.
$`"R" = sqrt("r"_1^2 + "r"_2^2)`$
D
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MCQ 391 Mark
The moment of inertia of a sphere is $20 kg-m^2$ about the diameter. The moment of inertia about any tangent is ____________.
  • $70 kg- m ^2$
  • B
    $50 kg- m ^2$
  • C
    $25 kg- m ^2$
  • D
    $80 kg- m ^2$
Answer
Correct option: A.
$70 kg- m ^2$
A
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MCQ 401 Mark
A body of M.I. $2 kg m ^2$ rotates with an angular velocity of $20 rad / s$. When an external torque of 0.5 N m acts on it in the opposite direction, the number of revolutions it makes before it comes to rest is .............
  • A
    `10/pi`
  • `400/pi`
  • C
    `30/pi`
  • D
    `50/pi`
Answer
Correct option: B.
`400/pi`
B
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MCQ 411 Mark
In a semiconductor, the number of holes and number of free electrons are represented as '$n _{ h }$' and '$n _{ e }$' respectively. Which one of the following statements is TRUE for the semiconductor?
  • A
    In an extrinsic semiconductor, $n _{ h }= n _{ e }$
  • B
    In an intrinsic semiconductor, $n _{ h }> n _{ e }$
  • In an intrinsic semiconductor, $n _{ e }= n _{ h }$
  • D
    In an intrinsic semiconductor, $n_e>n_h$
Answer
Correct option: C.
In an intrinsic semiconductor, $n _{ e }= n _{ h }$
C
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MCQ 421 Mark
Three charges +Q, q, +Q are placed respectively, at distance, 0, d/2 and d from the origin, on the X-axis. If the net force experienced by +Q, placed at x = 0, is zero then value of q is ____________.
  • A
    `(+Q)/2`
  • B
    `(+Q)/4`
  • `(-Q)/4`
  • D
    `(-Q)/2`
Answer
Correct option: C.
`(-Q)/4`
C
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MCQ 431 Mark
A 4.5 cm long needle is placed 10 cm away from a convex mirror of focal length 16 cm. Locate the image of the needle from the mirror.
  • A
    - 6.2 cm
  • B
    + 4.5 cm
  • + 6.2 cm
  • D
    - 4.5 cm
Answer
Correct option: C.
+ 6.2 cm
C
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MCQ 441 Mark
When the observer moves towards a stationary source with velocity $V_1$, the apparent frequency of emitted note is $F_1$. When observer moves away from the source with velocity $V_1$, the apparent frequency is $F_2$. If V is the velocity of sound in air and $`"F"_1/"F"_2=2`$ then $`"V"/"V"_1`$ is equal to ______.
  • A
    4
  • 3
  • C
    6
  • D
    5
Answer
Correct option: B.
3
B
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MCQ 451 Mark
A metal sphere cools from 66° C to 57° C in 10 minutes and to 44° C in the next 10 minutes. The ratio of fall of temperature of first 10 minutes to next ten minutes is ____________.
  • A
    `7/6`
  • `9/13`
  • C
    `4/7`
  • D
    `13/9`
Answer
Correct option: B.
`9/13`
B
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MCQ 461 Mark
Two satellites of a planet have periods of 32 days and 256 days. If the radius of the orbit of the former is R, the orbital radius of the Latter is ______
  • A
    `R/2`
  • 4R
  • C
    2R
  • D
    `R/4`
Answer
Correct option: B.
4R
B
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MCQ 471 Mark
If two balls each of mass 60 g moving in opposite directions with speed 3.5 m/s collide and rebound with the same speed, then the impulse imparted to each ball due to other is ____________.
  • 0.42 kg m/s
  • B
    Zero
  • C
    0.81 kg m/s
  • D
    0.24 kg m/s
Answer
Correct option: A.
0.42 kg m/s
A
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MCQ 481 Mark
A ball is thrown vertically down from height of 80 m from the ground with an initial velocity 'v'. The ball hits the ground, loses `1/6`th of its total mechanical energy, and rebounds back to the same height. If the acceleration due to gravity is 10 ms^{-2}$, the value of 'v' is
  • $18 ms^{-1}$
  • B
    $25 ms^{-1}$
  • C
    $12 ms^{-1}$
  • D
    $30 ms^{-1}$
Answer
Correct option: A.
$18 ms^{-1}$
A
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MCQ 491 Mark
Certain neutron stars are believed to be rotating at about 1 rev/s. If such a star has a radius of 1.6 km, the acceleration of an object on the equator of the star will be nearly ____________.
  • A
    $120 \times 10^5 mn / s ^2$
  • B
    $20 \times 10^3 m / s ^2$
  • $63 \times 10^3 m / s ^2$
  • D
    $4 \times 10^3 m / s ^2$
Answer
Correct option: C.
$63 \times 10^3 m / s ^2$
C
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MCQ 501 Mark
A particle goes round a circular path with uniform speed v. After describing half the circle, what is the change in its centripetal acceleration?
  • A

    `(2"v"^2)/(pi"r")`

  • B
    `("v"^2)/"r"`
  • `(2"v"^2)/"r"`

  • D
    `("v"^2)/(pi"r")`
Answer
Correct option: C.

`(2"v"^2)/"r"`

C
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MCQ - MHT - CET STD 12 Science Questions - Vidyadip