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MCQ

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50 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Two radioactive materials $Y_1$ and $Y_2$ have decay constants '5`lambda`' and `lambda` respectively. Initially they have same number of nuclei. After time 't', the ratio of number of nuclei of $Y_1$ to that of $Y_2$ is `1/"e"`, then 't' is equal to ______.
  • A
    `lambda`
  • B
    `"e"/lambda`
  • C
    `lambda/2`
  • `1/(4lamda)`
Answer
Correct option: D.
`1/(4lamda)`
D
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MCQ 21 Mark
Two protons are kept at a separation of 10 nm. Let $\mathrm{F}_{\mathrm{n}}$ and $\mathrm{F}_{\mathrm{e}}$ be the nuclear force and the electromagnetic force between them ____________.
  • A
    $\mathrm{F}_{\mathrm{e}}=\mathrm{F}_{\mathrm{n}}$
     
  • $\mathrm{F}_{\mathrm{e}} \gg \mathrm{F}_{\mathrm{n}}$
  • C
    $F_e$ and $F_n$ differ only slightly
  • D
    $\mathrm{F}_{\mathrm{e}} \ll \mathrm{F}_{\mathrm{n}}$
Answer
Correct option: B.
$\mathrm{F}_{\mathrm{e}} \gg \mathrm{F}_{\mathrm{n}}$
B. $\mathrm{F}_{\mathrm{e}} \gg \mathrm{F}_{\mathrm{n}}$
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MCQ 31 Mark
With the increase in principal quantum number, the energy difference between the two successive energy levels ____________.
  • A
    increases
  • decreases
  • C
    sometimes increases and sometimes decreases
  • D
    remains constant
Answer
Correct option: B.
decreases
B
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MCQ 41 Mark
A parallel beam of light is incident normally on a perfectly absorbing surface. If the force exerted by the light beam on the surface is $2 \times 10^{-7} \mathrm{~N}$ in 10 nanoseconds, the energy of photons hitting the surface is ____________.
  • A
    500 nJ
  • 600 nJ
  • C
    700 nJ
  • D
    400 nJ
Answer
Correct option: B.
600 nJ
B. 600 nJ
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MCQ 51 Mark
For a photocell, work function is $W_0$ and stopping potential is $v$. The wavelength of the incident radiation is (h =Planck's constant, C = velocity of light, e = charge of electron) ____________.
  • A
    $(h^2c^2)/(W_0 + eV)$
  • $(hc)/(W_0 + eV)$
  • C
    $(hc)/(W_0 - eV)$
  • D
    $(h^2c^2)/(W_0 + e^2V)$
Answer
Correct option: B.
$(hc)/(W_0 + eV)$
B. $(hc)/(W_0 + eV)$
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MCQ 61 Mark
Light of wavelength `lambda` strikes a photo-sensitive surface and electrons are ejected with kinetic energy E. If the kinetic energy is to be increased to 2E, the wavelength must be changed to `lambda'` where ____________.
  • `lambda/2 < lambda' < lambda`
  • B
    `lambda' > lambda`
  • C
    `lambda' = lambda/2`
  • D
    `lambda' = 2lambda`
Answer
Correct option: A.
`lambda/2 < lambda' < lambda`
A
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MCQ 71 Mark
The natural frequency of an LC circuit is 125 kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by 25 kHz. Dielectric constant of the material is nearly.
  • A
    1.91
  • B
    2.12
  • 1.56
  • D
    3.33
Answer
Correct option: C.
1.56
C
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MCQ 81 Mark
The frequency of the output signal becomes ____________ times by doubling the value of the capacitance in the LC oscillator circuit.
  • A
    `sqrt2`
  • `1/sqrt2`
  • C
    2
  • D
    `1/2`
Answer
Correct option: B.
`1/sqrt2`
B
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MCQ 91 Mark
In LCR circuit the inductance is changed from L to 9L. For same resonant frequency the capacitance should be changed from C to ____________.
  • A
    9C
  • `"C"/9`
  • C
    3C
  • D
    `"C"/3`
Answer
Correct option: B.
`"C"/9`
B
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MCQ 101 Mark
For circuit shown in figure $\mathrm{I}_{\mathrm{E}}=4 \mathrm{~mA}, \mathrm{I}_{\mathrm{B}}=40 \mu \mathrm{A}$. What are the values of ex, and le respectively? 
Image
  • A
    0.97, 4.04 mA
  • 0.99, 3.96 mA
  • C
    0.99, 4.04 mA
  • D
    1.01, 3.96 mA
Answer
Correct option: B.
0.99, 3.96 mA
B
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MCQ 111 Mark
Faraday's law is the consequence of conservation of ______
  • A
    charge.
  • B
    magnetic field.
  • energy.
  • D
    energy and magnetic field.
Answer
Correct option: C.
energy.
C
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MCQ 121 Mark
A proton is projected with a uniform velocity 'v' along the axis of a current carrying solenoid, then ____________.
  • A
    the proton will be accelerated along the axis.
  • the proton will continue to move with velocity 'v' along the axis.
  • C
    the proton path will be circular about the axis.
  • D
    the proton move along helical path.
Answer
Correct option: B.
the proton will continue to move with velocity 'v' along the axis.
B
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MCQ 131 Mark
A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius 'R'. The magnetic field 'B' produced at a perpendicular distance 'd' from the axis of the cylinder is plotted in a graph. Which of the following figures looks like the plot?
  • A

    Image

  • Image
  • C

    Image
  • D

    Image
Answer
Correct option: B.

Image
B
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MCQ 141 Mark
A length L of wire carries a steady current I. It is bent first to form a circular plane coil of one turn. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre caused by the same current is ______.
  • A
    a quarter of its first value.
  • four times of its first value.
  • C
    a half of its first value.
  • D
    unaltered
Answer
Correct option: B.
four times of its first value.
B
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MCQ 151 Mark
The magnetic induction at a point P which is at a distance of 2 cm from a long current-carrying wire is $10^{-6} \mathrm{~T}$. The induction at a distance 8 cm from same current-carrying wire is ______.
  • A
    $2.5 \times 10^7 \mathrm{~T}$
  • $2.5 \times 10^{-7} \mathrm{~T}$
  • C
    $2.5 \times 10^{-9} \mathrm{~T}$
  • D
    $2.5 \times 10^{-3} \mathrm{~T}$
Answer
Correct option: B.
$2.5 \times 10^{-7} \mathrm{~T}$
B. $2.5 \times 10^{-7} \mathrm{~T}$
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MCQ 161 Mark
A rectangular coil has 200 turns each of area $50 \mathrm{~cm}^2$ . It is capable of rotation about an axis joining the mid points of two opposite sides. When a current of 10 A is passed through it while its plane is at right angles to a uniform magnetic field, it experiences a torque of 5 Nm. The magnetic field will be ____________.
  • A
    1.5 T
  • B
    1 T
  • C
    2 T
  • 0.5 T
Answer
Correct option: D.
0.5 T
D. 0.5 T
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MCQ 171 Mark
The direction of the magnetic field produced around a long straight conductor is given by ______
  • A
    left-hand thumb rule.
  • both right band thumb rule and right-hand screw rule.
  • C
    right-hand screw rule.
  • D
    right band thumb rule.
Answer
Correct option: B.
both right band thumb rule and right-hand screw rule.
B
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MCQ 181 Mark
A galvanometer of resistance 30 `Omega` is connected to a battery of emf 2V with 1970 `Omega` resistance in series. A full scale deflection of 20 divisions is obtained in the galvanometer. To reduce the deflection to 10 divisions, the resistance in series required is ____________.
  • A
    4030 `Omega`
  • B
    2000 `Omega`
  • 3970 `Omega`
  • D
    4000 `Omega`
Answer
Correct option: C.
3970 `Omega`
C
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MCQ 191 Mark
A potentiometer wire of length 100 cm and resistance 3 `Omega` is connected in series with resistance of 8 `Omega` and an accumulator of 4 volt whose internal resistance is 1 `Omega`.
  • 0.50 volt
  • B
    0.25 volt
  • C
    1.00 volt
  • D
    0. 75 volt
Answer
Correct option: A.
0.50 volt
A
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MCQ 201 Mark
The current through 1 `Omega` resistance in the following circuit is ______. 
Image
  • A
    1.3 A
  • B
    1.1 A
  • C
    0.9 A
  • 1.5 A
Answer
Correct option: D.
1.5 A
D
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MCQ 211 Mark
A resistance of 5 `Omega` is connected in the left gap of a metre bridge and 15 `Omega` in the other gap. The position of the balancing point is ____________.
  • A
    20 cm
  • B
    75 cm
  • C
    10 cm
  • 25 cm
Answer
Correct option: D.
25 cm
D
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MCQ 221 Mark
If the p. d. across a capacitor is increased from 10 V to 30 V, then the energy stored with the capacitor ____________.
  • A
    increases to 27 times its initial value
  • B
    decreases to 1/3 times its initial value
  • C
    increases to 3 times its initial value
  • increases to 9 times its initial value
Answer
Correct option: D.
increases to 9 times its initial value
D
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MCQ 231 Mark
When sunlight is scattered by atmospheric atoms and molecules, the amount of scattered light, of wavelength 440 nm, is 'I'. What amount of light of wavelength 660 nm will be scattered?
  • `16/81`I
  • B
    `4/9`I
  • C
    `81/16`I
  • D
    `9/4`I
Answer
Correct option: A.
`16/81`I
A
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MCQ 241 Mark
A diffraction is obtained by using a beam of yellow light. What will happen if the yellow light is replaced by the red light?
  • Bands become broader and further apart.
  • B
    Bands will become narrower and crowded together.
  • C
    No change will take place.
  • D
    Bands disappear.
Answer
Correct option: A.
Bands become broader and further apart.
A
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MCQ 251 Mark
`phi "and" phi_2 (phi_1 > phi_2)` are the work functions of metals A and B. When light of same wavelength is incident on A and B, the fastest emitted electrons from A are ____________ those emitted from B.
  • A
    of the same energy as
  • less energetic than
  • C
    more or less energetic (depending on intensity of light) than
  • D
    more energetic than
Answer
Correct option: B.
less energetic than
B
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MCQ 261 Mark
In Young's double slit experiment the source is white light. One slit is covered with red filter and the other with blue filter. There shall be ____________.
  • A
    Alternate red and blue fringes
  • B
    Alternate dark and yellow fringes
  • C
    Alternate dark and pink fringes
  • No interference
Answer
Correct option: D.
No interference
D
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MCQ 271 Mark
A pipe open at both ends has a length of 1m. The air column in the pipe can not resonate for a frequency (Neglect end correction, speed of sound in air = 340 m/s)
  • A
    340 Hz
  • B
    170 Hz
  • 85 Hz
  • D
    510 Hz
Answer
Correct option: C.
85 Hz
C
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MCQ 281 Mark
A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonances are observed at lengths 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is, ____________.
  • A
    500 m/s
  • B
    156 m/s
  • C
    172 m/s
  • 344 m/s
Answer
Correct option: D.
344 m/s
D
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MCQ 291 Mark
The correct statement about stationary waves is that ______
  • A
    displacement at the node is maximum and at antinode is zero
  • B
    displacement at node is maximum
  • displacement at the node is zero and an antinode is maximum
  • D
    displacement at antinode is minimum
Answer
Correct option: C.
displacement at the node is zero and an antinode is maximum
C
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MCQ 301 Mark
The length of a seconds pendulum is 1m on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the second's pendulum on the planet will be ______
  • A
    0.2 m
  • 0.5 m
  • C
    0.3 m
  • D
    0.4 m
Answer
Correct option: B.
0.5 m
B
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MCQ 311 Mark
The frequency of oscillation of a particle of mass m suspended at the end of a vertical spring having a spring constant k is directly proportional to ____________.
  • $(k/m)^{(1/2)}$
  • B
    m/k
  • C
    $m^2k$
  • D
    mk
Answer
Correct option: A.
$(k/m)^{(1/2)}$
A. $(k/m)^{(1//2)}$
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MCQ 321 Mark
The displacement of the particle executing linear S.H.M. is x = 0.25 Sill ( 11 l + 0.5) m. The period of S.H.M. is ______.

(`pi = 22/7` )

  • A
    `1/7`s
  • B
    `2/7`s
  • C
    `3/7`s
  • `4/7`s
Answer
Correct option: D.
`4/7`s
D
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MCQ 331 Mark
A body of surface area $15 \times 10^{-3} \mathrm{~m}^2$ emits 0.4 kcal in 20 second at a temperature 70° C. The emissive power of the surface at that temperature is ____________.
  • A
    $2.7 \times 10^{-3} \mathrm{kcal} / \mathrm{m}^2 \mathrm{~s}$
  • B
    $5.6 \times 10^{-3} \mathrm{kcal} / \mathrm{m}^2 \mathrm{~s}$
  • C
    $0.5 \mathrm{kcal} / \mathrm{m}^2 \mathrm{~s}$
  • $1.3 \mathrm{kcal} / \mathrm{m}^2 \mathrm{~s}$
Answer
Correct option: D.
$1.3 \mathrm{kcal} / \mathrm{m}^2 \mathrm{~s}$
D. $1.3 \mathrm{kcal} / \mathrm{m}^2 \mathrm{~s}$
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MCQ 341 Mark
Which of the following substances (A, B and C) has the highest specific beat? 
Image
  • A
    B
  • B
    All have equal specific heat
  • C
  • D
    A
Answer
Correct option: C.
C
C
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MCQ 351 Mark
When one end of the capillary is dipped in water, the height of water column is 'h'. The upward force of 119 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is (Surface tension of water= $7 \times 10^{-2} \mathrm{~N} / \mathrm{m}$) ____________.
  • 1.7 cm
  • B
    3 cm
  • C
    2 cm
  • D
    2.5 cm
Answer
Correct option: A.
1.7 cm
A. 1.7 cm
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MCQ 361 Mark
From amongst the following curves, which one shows the variation of the velocity v with time t for a small-sized spherical body falling vertically in a long column of a viscous liquid.

  • Image
  • B

    Image
  • C

    Image
  • D

    Image
Answer
Correct option: A.

Image
A
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MCQ 371 Mark
A glass plate is partly dipped vertically in the mercury and the angle of contact is measured. If the plate is inclined, then the angle of contact will ____________.
  • A
    increase or decrease
  • B
    decrease
  • remain unchanged
  • D
    increase
Answer
Correct option: C.
remain unchanged
C
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MCQ 381 Mark
The pressure at the bottom of a tank containing liquid does not depend upon the ______.
  • A
    acceleration due to gravity
  • B
    density of liquid
  • C
    height of liquid column
  • area of bottom surface
Answer
Correct option: D.
area of bottom surface
D
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MCQ 391 Mark
If the angular momentum of a body increases by 50%, then its kinetic energy of rotation increases by ______ (M.I. remains constant)
  • 125%
  • B
    50%
  • C
    100%
  • D
    200%
Answer
Correct option: A.
125%
A
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MCQ 401 Mark
A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at highest point to lowest point will be ______.
  • A
    `sqrt3 : 1`
  • B
    `sqrt5 :1`
  • C
    `sqrt3 : sqrt5`
  • `1 : sqrt5`
Answer
Correct option: D.
`1 : sqrt5`
D
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MCQ 411 Mark
A light emitting diode is ______
  • always used in forwarding biased conditions.
  • B
    always used in reverse biased conditions.
  • C
    used in both forward and reverse biased positions depending upon its application.
  • D
    never used in forwarding biased conditions.
Answer
Correct option: A.
always used in forwarding biased conditions.
A
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MCQ 421 Mark
A uniform electric field of intensity 400 N/C, exists in a certain region. How much flux will cross a given area of $10 \mathrm{~cm}^2$ in this region, if the area vector is inclined at 60° to the direction of the field?
  • $0.2 \mathrm{Nm}^2 / \mathrm{C}$
  • B
    $0.5 \mathrm{Nm}^2 / \mathrm{C} $
  • C
    $2 \mathrm{Nm}^2 / \mathrm{C}$
  • D
    $0.1 \mathrm{Nm}^2 / \mathrm{C}$
Answer
Correct option: A.
$0.2 \mathrm{Nm}^2 / \mathrm{C}$
A. $0.2 \mathrm{Nm}^2 / \mathrm{C}$
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MCQ 431 Mark
Radius of a metal sphere is 4 cm. It is given a charge of 8 µC. The force acting on unit area of its surface is ____________.
  • $8.953 \times 10^3 \mathrm{~N} / \mathrm{m}^2$
  • B
    $8.953 \times 10^2 \mathrm{~N} / \mathrm{m}^2$
  • C
    $0.8953 \times 10^{-2} \mathrm{~N} / \mathrm{m}^2$
  • D
    $89.53 \times 10^{-3} \mathrm{~N} / \mathrm{m}^2$
Answer
Correct option: A.
$8.953 \times 10^3 \mathrm{~N} / \mathrm{m}^2$
A. $8.953 \times 10^3 \mathrm{~N} / \mathrm{m}^2$
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MCQ 441 Mark
As the position of an object (u) reflected from a concave mirror is varied, the position of the image (v) also varies. For the values of u from 0 to +`oo,` the graph between v versus u will be ______.
  • A

    Image
  • B

    Image

  • Image
  • D

    Image
Answer
Correct option: C.

Image
C
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MCQ 451 Mark
A light beam is incident at an angle twice the angle of refraction. The angle of refraction is ______.
  • A
    `1/2 cos ^-1 (µ/2)`
  • `cos ^-1 (µ/2)`
  • C
    `cos ^-1 (2µ)`
  • D
    `2 cos ^-1 (µ/2)`
Answer
Correct option: B.
`cos ^-1 (µ/2)`
B
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MCQ 461 Mark
To hear an echo, the total distance covered by sound from the point of generation to the reflecting surface and back should be atleast ____________.
  • A
    19 m
  • B
    17.2m
  • 34.4m
  • D
    36 m
Answer
Correct option: C.
34.4m
C
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MCQ 471 Mark
What will be the work done, when one gram of ice at -10° C is converted into steam at 100°?
  • A
    6056 J
  • B
    616 J
  • 3045 J
  • D
    721 J
Answer
Correct option: C.
3045 J
C
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MCQ 481 Mark
In the case of earth, mean radius is 'R', acceleration due to gravity on the surface is 'g', angular speed about its own axis is 'ω'. What will be the radius of the orbit of a geostationary satellite?
  • A
    `[omega^2/"gR"^2]^(1/3)`
  • B
    `["gR"^2/omega^2]^(1/2)`
  • C
    `[omega^2/"gR"^2]^(1/2)`
  • `["gR"^2/omega^2]^(1/3)`
Answer
Correct option: D.
`["gR"^2/omega^2]^(1/3)`
D
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MCQ 491 Mark
A shell of mass 'M' initially at rest suddenly explodes in three fragments. Two of these fragments are of mass 'M/4' each, which move with velocities $3 \mathrm{~ms}^{-1}$ and $4 \mathrm{~ms}^{-1}$ respectively in mutually perpendicular directions. The magnitude of velocity of the third fragment is ______.
  • A
    $3.0 \mathrm{~ms}^{-1}$
  • B
    $2.0 \mathrm{~ms}^{-1}$
  • C
    $1.5 \mathrm{~ms}^{-1}$
  • $2.5 \mathrm{~ms}^{-1}$
Answer
Correct option: D.
$2.5 \mathrm{~ms}^{-1}$
D. $2.5 \mathrm{~ms}^{-1}$
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MCQ 501 Mark
Consider a simple pendulum of length 4 m. Its bob performs a circular motion in horizontal plane with its string making an angle 60° with the vertical. The Period of rotation of the bob is ____________.(Take $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$)
  • 2.8 s
  • B
    1.98 s
  • C
    2 s
  • D
    2.4 s
Answer
Correct option: A.
2.8 s
A
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