Questions

SECTION - A [PHYSICS - MCQ]

Take a timed test

45 questions · 44 auto-graded MCQ + 1 self-marked written.

MCQ 14 Marks
The electromagnetic wave travelling in a medium has relative permeability 1.3 and relative permittivity 2.14. The speed of EM wave in that medium will be
  • A
    $13.6 \times 10^6 m / s$
  • B
    $1.8 \times 10^6 m / s$
  • C
    $3.6 \times 10^8 m / s$
  • $1.8 \times 10^8 m / s$
Answer
Correct option: D.
$1.8 \times 10^8 m / s$
(D) $1.8 \times 10^8 m / s$
$v=\frac{c}{\sqrt{\mu_0 \varepsilon_0}}=\frac{3 \times 10^8}{\sqrt{1.3 \times 2.14}}=1.8 \times 10^8 m / s$
View full question & answer
MCQ 24 Marks
A magnet of magnetic moment $50 \hat{ I } A - m ^2$ placed along $X$-axis, where magnetic field is $B=(0.5 \hat{i}+3.0 \hat{j}) T$. The torque acting on magnet is
  • A
    $175 \hat{k} N- m$
  • $150 \hat{k} N-m$
  • C
    $75 \hat{ k N}- m$
  • D
    $25 \sqrt{37} \hat{ k N}- m$
Answer
Correct option: B.
$150 \hat{k} N-m$
(B) $150 kN - m$
$\begin{array}{l}\vec{\tau}=\overrightarrow{ M } \times \overrightarrow{ B } \\ =(50 \hat{ i }) \times(0.5 \hat{ i }+3.0 \hat{ j })=150 \hat{ k } Nm \end{array}$
View full question & answer
MCQ 34 Marks
The energy of the electromagnetic waves is of the order of 15 keV. To which part of the spectrum, does it belong?
  • A
    Ultraviolet rays
  • B
    $\gamma$-rays
  • C
    Infrated rays
  • X-rays
Answer
Correct option: D.
X-rays
D
View full question & answer
MCQ 44 Marks
A projectile is thrown with an initial velocity of $v =( p \hat{i}+q \hat{j}) m / s$. If the range of the projectile is double the maximum height reached by it, then
  • A
    q = p
  • q = 2p
  • C
    p = 2q
  • D
    q = 4p
Answer
Correct option: B.
q = 2p
(B) q = 2p
$\begin{array}{l}R=2 H \\ \frac{2 p q}{g}=2 \frac{q^2}{2 g} \\ q=2 p\end{array}$
View full question & answer
MCQ 54 Marks
200 g of a solid ball at $20^{\circ}$ C is dropped in an equal amount of water at $80^{\circ}$ C. The resulting temperature is $60^{\circ}$ C. This means that specific heat of solid is
  • A
    four times of water
  • B
    twice of water
  • one-half of water
  • D
    one-fourth of water
Answer
Correct option: C.
one-half of water
(C) one-half of water
$\begin{array}{l}60=\frac{200 \times s \times 20+200 \times 1 \times 80}{200 \times s+200 \times 1} \\ s=\frac{1}{2}\end{array}$
View full question & answer
MCQ 64 Marks
Image
For the circuit shown above, equivalent GATE is:
  • OR gate
  • B
    NOT gate
  • C
    AND gate
  • D
    NAND gate
Answer
Correct option: A.
OR gate
A
View full question & answer
MCQ 74 Marks
Match List-I with List-II
List-IList-II
A. Magnetic inductionI. Ampere meter ${ }^2$
B. Magnetic intensityII. Weber
C. Magnetic fluxIII. Gauss
D. Magnetic momentIV. Ampere meter
Choose the correct answer from the options given below :
  • A
    (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
  • (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
  • C
    (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
  • D
    (A)-(III), (B)-(II), (C)-(I), (D)-(IV)
Answer
Correct option: B.
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
B
View full question & answer
MCQ 84 Marks
A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be
(consider g as acceleration due to gravity)
  • A
    $\frac{3}{2} Mg$
  • $\frac{ Mg }{2}$
  • C
    Mg
  • D
    2 Mg
Answer
Correct option: B.
$\frac{ Mg }{2}$
(B) $\frac{ Mg }{2}$
$\begin{array}{l}M G-F_B-f=0 \\ \Rightarrow M G-\frac{M G}{2}-f=0 \\ \therefore f=\frac{M G}{2}\end{array}$
View full question & answer
MCQ 94 Marks
Two free parallel wires carrying currents in opposite direction,
  • A
    attract each other
  • repel each other.
  • C
    neither attract nor repel.
  • D
    get rotated to be perpendicular to each other.
Answer
Correct option: B.
repel each other.
B
View full question & answer
MCQ 104 Marks
With the increase in principal quantum number, the energy difference between the two successive energy levels
  • A
    remains constant
  • B
    increases
  • decreases
  • D
    sometimes increases and sometimes decreases
Answer
Correct option: C.
decreases
C
View full question & answer
MCQ 114 Marks
If two bulbs of power 25 W and 100 W, respectively each rated at 220 V are connected in series with supply of 440 V. Which bulb will fuse?
  • A
    40 W
  • 25 W
  • C
    Both (1) and (2)
  • D
    None of these
Answer
Correct option: B.
25 W
B
View full question & answer
MCQ 124 Marks
In an experiment, a convex lens of focal length 10 cm in placed co-axially on an optical bench in front of a convex mirror at a distance 2.66 cm from it. It is found that object and its image coincide. If the object is placed at a distance of 25 cm from the lens, then the focal length of the convex mirror is
  • A
    5 cm
  • 7 cm
  • C
    8 cm
  • D
    10 cm
Answer
Correct option: B.
7 cm
(B) 7 cm
Final image will conside with object when refracted ray from lense falls on mirror normally.
Image
$\begin{array}{l}\frac{1}{v}-\frac{1}{-25}=\frac{1}{10} \Rightarrow v=\frac{50}{3} \\ \frac{50}{3}=2.66+2 f \\ f=7 cm\end{array}$
View full question & answer
MCQ 134 Marks
A long solenoid has 1000 turns. When a current of 4 A flows through it, the magnetic flux linked with each turn of the solenoid is $4 \times 10^{-3} Wb$. The self-inductance of the solenoid is
  • A
    2 H
  • B
    4 H
  • 1 H
  • D
    3 H
Answer
Correct option: C.
1 H
(C) 1 H
$\begin{array}{l} N \phi= Li \\ 1000 \times 4 \times 10^{-3}= L 4 \\ L=1 H \end{array}$
View full question & answer
MCQ 144 Marks
Which of the following is a dimensional constant?
  • A
    Relative density
  • B
    Strain
  • C
    Refractive index
  • Gravitational constant
Answer
Correct option: D.
Gravitational constant
D
View full question & answer
MCQ 154 Marks
A spring is stretched by 6 cm by a force 12 N. The time period (in s) of the oscillations when a mass of 2 kg is suspended by it is
  • A
    6.008
  • B
    6.28
  • 0.628
  • D
    0.0628
Answer
Correct option: C.
0.628
(C) 0.628
$\begin{array}{l}12=k \frac{(6)}{100} \Rightarrow k=200 \frac{N}{ m } \\ T =2 \pi \sqrt{\frac{2}{200}}=.628\end{array}$
View full question & answer
MCQ 164 Marks
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A , for nuclei with mass numbers between 30 and 170. Reason (R): Nuclear force is long range. In the light of the above statements, choose the correct answer from the options given below :
  • A
    (A) is false but (R) is true
  • (A) is true but (R) is false
  • C
    Both (A) and (R) are true and (R) is the correct explanation of (A)
  • D
    Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
Answer
Correct option: B.
(A) is true but (R) is false
B
View full question & answer
MCQ 174 Marks
A light source of wavelength $\lambda$ illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV . If the same surface is illuminated by a light source of wavelength $\frac{\lambda}{2}$, then the maximum kinetic energy of ejected electrons will be (The work function of metal is 1 eV )
  • A
    2 eV
  • B
    6 eV
  • 5 eV
  • D
    3 eV
Answer
Correct option: C.
5 eV
(C) 5 eV
$ \begin{array}{l} \frac{hc}{\lambda}=\phi+eV \Rightarrow \frac{hc}{\lambda}=1+2=3 eV \ldots(1)\\ \frac{hc}{\lambda / 2}=6=1+k_{\max } \therefore k_{\max }=5 eV \end{array} $
View full question & answer
MCQ 184 Marks
Statement I: In Young’s double slit experiment,the fringes produced by red light are closer as compared to those produced by blue light.
Statement II : The fringe width is directly proportional to the wavelength of light. In the light of above statements, choose the correct answer from the options given below :
  • A
    Both statements I and II are incorrect
  • B
    Statement I is correct and statement II is incorrect
  • Statement II is correct and statement I is incorrect
  • D
    Both Statements I and II are correct
Answer
Correct option: C.
Statement II is correct and statement I is incorrect
C
View full question & answer
MCQ 194 Marks
The barrier potential in a p-n junction is 0.3 V . The current required is 6 mA . The emf of the cell required for use in the circuit, if a resistance of $200 \Omega$ is connected in series with junction is
  • 1.5 V
  • B
    2 V
  • C
    3 V
  • D
    5 V
Answer
Correct option: A.
1.5 V
(A) 1.5 V
$\begin{array}{l}\frac{E-0.3}{200}=6 \times 10^{-3} \\ E=1.5 V\end{array}$
View full question & answer
MCQ 204 Marks
A monoatomic gas at a pressure $p$, having i volume V expands isothermally to a volume $2 1$ and then adiabatically to a volume 16 V . The fina pressure of the gas is (take $\gamma=\frac{5}{3}$ )
  • $p / 64$
  • B
    30 p
  • C
    70 p
  • D
    18 p
Answer
Correct option: A.
$p / 64$
(A) $p / 64$
For isothermal expansion
$ P_1(2 V)=P V \Rightarrow P_1=\frac{P}{2} $
For adiabatic expansion
$ \begin{array}{l} \frac{P}{2}(2 V)^{5 / 3}=P_F(16 V)^{5 / 3} \\ P_{F}=\frac{P}{64} \end{array} $
View full question & answer
MCQ 214 Marks
A convex lens of focal length 0.12 m produces a virtual image which is thrice the size of the object. Find the distance between the object and the lens.
  • A
    0.12 m
  • B
    0.24 m
  • 0.08 m
  • D
    0.04 m
Answer
Correct option: C.
0.08 m
(C) 0.08 m
$\begin{array}{l}m=+3 \\ m=\frac{f}{f+u} \\ 3=\frac{12}{12+u} \\ u=-8 cm\end{array}$
View full question & answer
MCQ 224 Marks
Ionisation potential of hydrogen atom is 13.6 V. Hydrogen atom in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be
  • A
    two
  • three
  • C
    one
  • D
    six
Answer
Correct option: B.
three
(B) three
$\begin{array}{l}E_n=\frac{13.6}{n^2}=-13.6+12.1 \\ n=3 \\ \text { No of lines }=\frac{3(3-1)}{2}=3\end{array}$
View full question & answer
MCQ 234 Marks
A nuclear bomb exploded 200 km above the surface of moon. The sound of explosion on the moon
  • A
    will be heard at the same time.
  • B
    will be heard after explosion.
  • C
    will heard before the explosion is seen.
  • will not heard at all.
Answer
Correct option: D.
will not heard at all.
(D) will not heard at all
No atmosphere on the moon hence, sound will not propagatge.
View full question & answer
MCQ 254 Marks
A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the centre of the sphere will be
  • 10 V
  • B
    0.2 V
  • C
    5 V
  • D
    Zero
Answer
Correct option: A.
10 V
A
View full question & answer
MCQ 264 Marks
A progressive wave of frequency 500 Hz is travelling with velocity of 360 m/s. How far apart are two points 60° out of phase?
  • A
    0.42 m
  • B
    0.32 m
  • C
    0.22 m
  • 0.12 m
Answer
Correct option: D.
0.12 m
(D)  0.12 m
$\begin{array}{l}\lambda=\frac{360}{500} m \\ \frac{\pi}{3}=\frac{2 \pi}{\lambda} \Delta x \\ \Delta x=.12 m\end{array}$
View full question & answer
MCQ 274 Marks
An alternating voltage $E$ (in volts) $=200 \sqrt{2} \sin (100 t)$ is connected to a $1 \mu F$ capacitor through an AC ammeter. The reading of the ammeter will be
  • A
    80 MA
  • B
    40 mA
  • 20 mA
  • D
    10 mA
Answer
Correct option: C.
20 mA
(C) 20mA
$\begin{array}{l} i =\frac{ E _{\text {ms }}}{ x _c} \\ X _{ C }=\frac{1}{100 \times 10^{-6}}=10^4 \\ i =\frac{200}{10^4}=20 mA\end{array}$
View full question & answer
MCQ 284 Marks
A thin steel rod of length I, area of cross section $A$ and Young's modulus $Y$ is clamped between two fixed supports. If it is heated such that its temperature increases by $\Delta T$ and its change in length is zero, then the thermal compressive force exerted on the rod is
  • A
    $\frac{A Y}{\alpha \Delta T}$
  • $A Y \propto \Delta T$
  • C
    $mid A Y \alpha \Delta T$
  • D
    $\frac{ IAY }{\alpha \Delta T}$
Answer
Correct option: B.
$A Y \propto \Delta T$
B
View full question & answer
MCQ 294 Marks
Statement - I : Lenz's law violates the principle of conservation of energy.
Statement - II : Induced emf always opposes the change in magnetic flux responsible for its production.
  • A
    Both statements I and II are incorrect
  • B
    Statement I is correct and statement II is incorrect
  • Statement II is correct and statement I is incorrect
  • D
    Both Statements I and II are correct
Answer
Correct option: C.
Statement II is correct and statement I is incorrect
C
View full question & answer
MCQ 304 Marks
As shown below, bob A of a pendulum having massless string of length 'R' is released from 60° to the vertical. It hits another bob B of half the mass that is at rest on a friction less table in the centre. Assuming elastic collision, the magnitude of the velocity of bob A after the collision will be (take g as acceleration due to gravity)
Image
  • A
    $\frac{1}{3} \sqrt{ Rg }$
  • B
    $\sqrt{ Rg }$
  • C
    $\frac{4}{3} \sqrt{ Rg }$
  • D
    $\frac{2}{3} \sqrt{ Rg }$
View full question & answer
MCQ 314 Marks
Sand is being dropped on a conveyor belt at the rate of 2M kg/s. The force (in newton) necessary to keep the belt moving with a constant velocity v m/s will be
  • 2 Mv
  • B
    Mv
  • C
    $2 M / v$
  • D
    $v / 2 M$
Answer
Correct option: A.
2 Mv
(A) 2 Mv
$\begin{array}{l} F = m \frac{ dv }{ dt }+\frac{ dm }{ dt } v \\ =0+2 Mv \end{array}$
View full question & answer
MCQ 324 Marks
A body under the action of a force $F=6 \hat{i}-8 \hat{j}+10 \hat{k}$, acquires an acceleration of $1 m / s ^2$. The mass of this body must be
  • $10 \sqrt{2} kg$
  • B
    15 kg
  • C
    $2 \sqrt{2} kg$
  • D
    30 kg
Answer
Correct option: A.
$10 \sqrt{2} kg$
(A) $10 \sqrt{2} kg$
$\begin{array}{l}m=\frac{|\vec{F}|}{a}=\frac{\sqrt{(6)^2+(-8)^2+(10)^2}}{1} \\ =10 \sqrt{2} kg\end{array}$
View full question & answer
MCQ 334 Marks
Mass m2 is hanged using a uniform string whose other end is attached to a mass m1 . A string connects m1 to ground as shown in figure. Tension in this string is
Image
  • A
    Zero
  • B
    $m_1 g$
  • C
    $m _2 g$
  • $\left(m_2-m_1\right) g$
Answer
Correct option: D.
$\left(m_2-m_1\right) g$
(D) $\left(m_2-m_1\right) g$
$\begin{array}{l}T+m_1 g=m_2 g \\ T=\left(m_2-m_1\right) g\end{array}$
View full question & answer
MCQ 344 Marks
A ball is projected with a velocity $20 ms^{-1}$, at an angle of $6 0 ^ { \circ }$ with the vertical direction. Its speed (in $m / s$ ) at the highest point of its trajectory will be
  • A
    $5 \sqrt{3}$
  • $10 \sqrt{3}$
  • C
    $15 \sqrt{3}$
  • D
    $20 \sqrt{3}$
Answer
Correct option: B.
$10 \sqrt{3}$
(B) $10 \sqrt{3}$
$20 \sin 60=10 \sqrt{3}$
View full question & answer
MCQ 354 Marks
A ball is thrown vertically upward. It has a speed of 10 m/s, when it has reached one-half of its maximum height. How high does the ball rise?
  • A
    20 m
  • 10 m
  • C
    5 m
  • D
    15 m
Answer
Correct option: B.
10 m
(B) 10 m
$\begin{array}{l}0^2=10^2-2 \times 10\left(\frac{h}{2}\right) \\ h =10 m\end{array}$
View full question & answer
MCQ 364 Marks
A particle of mass $M$ is situated at the centre of a spherical shell of same mass and radius a. The gravitational potential at a point situated at $a / 2$ distance from the centre will be
  • A
    $-\frac{4 GM }{ a }$
  • $-\frac{3 G M}{a}$
  • C
    $-\frac{2 GM }{ a }$
  • D
    $-\frac{ GM }{ a }$
Answer
Correct option: B.
$-\frac{3 G M}{a}$
(B) $-\frac{3 G M}{a}$
$-G \frac{m}{a / 2}-G \frac{m}{a}=-\frac{3 G m}{a}$
View full question & answer
MCQ 374 Marks
What will be the formula of the mass in terms of g, R and G? (R = radius of the earth)
  • $g \frac{R^2}{G}$
  • B
    $G \frac{R}{g}$
  • C
    $g^2 \frac{R}{G}$
  • D
    $G \frac{R^2}{g}$
Answer
Correct option: A.
$g \frac{R^2}{G}$
A
View full question & answer
MCQ 384 Marks
The dimensions of universal gravitational constant is
  • A
    $\left[ M ^{-2} L^2 T^{-1}\right]$
  • $\left[ M ^{-1} L^3 T^{-2}\right]$
  • C
    $\left[ M ^{-2} L^3 T^{-2}\right]$
  • D
    $\left[ ML ^2 T^{-1}\right]$
Answer
Correct option: B.
$\left[ M ^{-1} L^3 T^{-2}\right]$
(B) $\left[ M ^{-1} L^3 T^{-2}\right]$
View full question & answer
MCQ 394 Marks
A small mass executes linear SHM about O with amplitude a and period T . Its displacement from O at time $T / 8$ after passing through O is
  • A
    $\frac{a}{8}$
  • B
    $\frac{a}{2}$
  • $\frac{ a }{\sqrt{2}}$
  • D
    $\frac{a}{2 \sqrt{2}}$
Answer
Correct option: C.
$\frac{ a }{\sqrt{2}}$
(C) $\frac{ a }{\sqrt{2}}$
$\begin{array}{l}x=a \sin \frac{2 \pi}{T} t \\ \text { at } t=\frac{T}{8} \\ =a \sin \frac{2 \pi}{T} \times \frac{T}{8}=\frac{a}{\sqrt{2}}\end{array}$
View full question & answer
MCQ 404 Marks
A voltmeter reads 4 V when connected to a parallel plate capacitor with air as a dielectric. When a dielectric slab is introduced between plates for the same configuration, voltmeter reads 2 V. What is the dielectric constant of the material?
  • A
    0.5
  • 2
  • C
    8
  • D
    10
Answer
Correct option: B.
2
(B)  2
$\begin{array}{l}\frac{ q }{ C }=4 \\ \frac{ q }{ kC }=2 \\ k =2\end{array}$
View full question & answer
MCQ 414 Marks
A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is (E is mid-point of arm CD)
Image
  • A
    R
  • B
    $\frac{1}{16} R$
  • $\frac{7}{64} R$
  • D
    $\frac{3}{4} R$
Answer
Correct option: C.
$\frac{7}{64} R$
(C) $\frac{7}{64} R$
$\begin{array}{l} R _{ EC }=\frac{ R }{8} \\ \frac{1}{ R }=\frac{8}{ R }+\frac{8}{7 R }=\frac{56+8}{7 R }=\frac{64}{7 R } \\ R =\frac{7 R }{64}\end{array}$
View full question & answer
MCQ 424 Marks
A capacitor stores $10 \mu C$ charge when connected across a battery. When the gap between the plates is filled with a dielectric, a charge of $2 0 \mu C$ flows through the battery. Find the dielectric constant of the dielectric.
  • A
    $K =2$
  • $K =3$
  • C
    $K=4$
  • D
    $K =1$
Answer
Correct option: B.
$K =3$
(B) $K =3$
$\frac{10 \mu C }{ C }=\frac{(10+20) \mu C }{ kC }$
k = 3
View full question & answer
MCQ 434 Marks
In the circuit, the potential difference between A and B is
Image
  • A
    6 V
  • B
    1 V
  • C
    3 V
  • 2 V
Answer
Correct option: D.
2 V
(D) 2 V
$V=\frac{\frac{1}{2}+\frac{2}{1}+\frac{3}{1}}{\frac{1}{1}+\frac{1}{1}+\frac{1}{1}}=2 V$
View full question & answer
MCQ 444 Marks
A flywheel rotating at 840 rpm slows down at a constant rate of $11 rad s ^{-2}$. The time required to stop the flywheel is
  • 8 s
  • B
    5 s
  • C
    2 s
  • D
    10 s
Answer
Correct option: A.
8 s
(A) 8 s
$\begin{array}{l}0=2 \pi \times \frac{840}{60}-11 t \\ t=8 s\end{array}$
View full question & answer
MCQ 454 Marks
Given below are two statements
Statement - I : If 8th vernier scale division of a vernier caliper coincide with its 7th main scale division, then the least count of the vernier caliper is 0.125 mm. (MSD = 1mm)
Statement - II : Using above vernier caliper, the measurement of diameter of an object can be 0.12 mm.
  • A
    Both statements I and II are incorrect
  • Statement I is correct and statement II is incorrect
  • C
    Statement II is correct and statement I is incorrect
  • D
    Both Statements I and II are correct
Answer
Correct option: B.
Statement I is correct and statement II is incorrect
B
View full question & answer