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SECTION - A [PHYSICS - MCQ]

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45 questions · timed · auto-graded

MCQ 14 Marks
A stone tied to the end of 20cm long string whirled in a horizontal circle. If the centripital acceleration is 9.8 $m / s ^2$. Its angular speed in radian/sec is ?
  • A
    22/7
  • 7
  • C
    14
  • D
    20
Answer
Correct option: B.
7
(B) 7,
$a=r \omega^2=\omega=\sqrt{\frac{a}{r}}=\sqrt{\frac{9.8}{0.20}}$
$\omega=\sqrt{\frac{9800}{200}}=7$
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MCQ 24 Marks
In a single slit diffraction experiment first minima of $\lambda_1=6000 Å$ coincides with first maxima for wavelength $\lambda_2$, then $\lambda_2$ is :
  • 4000 Å
  • B
    5000 Å
  • C
    4800 Å
  • D
    5500 Å
Answer
Correct option: A.
4000 Å
(A) 4000 Å,
For first minima of $\lambda_1, a \sin \theta=1 . \lambda_1$
For first maxima of $\lambda_2$, a $\sin \theta=3 / 2 \lambda_2$
$\therefore \quad \lambda_1=\frac{3}{2} \lambda_2$
or $\quad \lambda_2=\frac{2}{3} \times \lambda_1=\frac{2}{3} \times 6000 \Rightarrow 4000 Å$
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MCQ 34 Marks
An a.c. circuit $e=400 \sin 200 t$ volt and $i=\sin$ $\left(200 t +\frac{\pi}{3}\right)$ amp. Then the average power consumed is :
  • A
    100 W
  • B
    200 W
  • 400 W
  • D
    $200 \sqrt{2} W$
Answer
Correct option: C.
400 W
(C) 400 W,
$\begin{array}{l}P=\frac{1}{2} \times 400 \times 1 \times \frac{1}{2} \\ =\frac{400}{4}=100 W\end{array}$
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MCQ 44 Marks
Two identical particles move towards each other with velocity (2V) and (V) respectively the velocity of centre of mass
  • A
    V
  • B
    V/3
  • V/2
  • D
    Zero
Answer
Correct option: C.
V/2
(C) V/3,
$V_{ cm }=\frac{ m _1 \overrightarrow{V}_1+ m _2 \overrightarrow{V}_2}{m_1+ m _2}=\frac{ m (2 V)+ m (- V )}{ m + m }=\frac{ V }{2}$
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MCQ 54 Marks
A ball takes $(t)$ second to fall from a height $\left(H_1\right)$ and $2 t$ second to fall from a height $\left( H _2\right)$. Then $\sqrt{\frac{ H _1}{ H _2}}$ is (consider ideal motion) :
  • A
    2
  • B
    4
  • 0.5
  • D
    0.25
Answer
Correct option: C.
0.5
(C) 0.5
$\begin{array}{l}H_1=\frac{1}{2} g(t)^2=\frac{1}{2} g t^2 \\ H_2=\frac{1}{2} g(2 t)^2=\frac{1}{2} g(4 t)^2\end{array}$
$\begin{array}{l}\frac{ H _1}{ H _2}=\frac{\frac{1}{2} g t ^2}{\frac{1}{2} g(4 t )^2}=0.25 \\ \sqrt{\frac{ H _1}{ H _2}}=0.5\end{array}$
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MCQ 64 Marks
Two successive note of a close organ pipe are 250 Hz and 350 Hz . The number of antinodes in 350 Hz mode will be
  • 4
  • B
    3
  • C
    5
  • D
    2
Answer
Correct option: A.
4
A
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MCQ 74 Marks
For given ray diagram, the reflected and refracted rays make an angle of $90^{\circ}$ with each other. The angle of reflection and refraction are $r$ and $r^1$. The critical angle would be :
Image
  • A
    $\sin ^{-1}(\tan r)$
  • B
    $\sin ^{-1}(\tan i )$
  • C
    Both 1 and 2
  • D
    None
Answer
C. Both 1 and 2
$\sin ^{-1}(\tan r)$
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MCQ 84 Marks
A magnet of magnetic moment (M) has been broken into three equal parts in length and two equatl parts in breadth then magnetic moment of each piece:
  • A
    M/4
  • B
    M/2
  • C
    2 M
  • M/6
Answer
Correct option: D.
M/6
D
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MCQ 94 Marks
Kirchhoff's first law is based on
  • A
    Conservation of momentum
  • B
    Conservation of mass
  • Conservation of charge
  • D
    Conservation of energy
Answer
Correct option: C.
Conservation of charge
C
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MCQ 104 Marks
Formula for mean free path of a gas is :
  • A
    $\lambda=\frac{1}{\sqrt{2} n \pi d^2}$
  • B
    $\lambda=\frac{ RT }{\sqrt{2} \pi d^2 PV }$
  • C
    $\lambda=\frac{ kT }{\sqrt{2} \pi d^2 P }$
  • Both (1) and (3)
Answer
Correct option: D.
Both (1) and (3)
D
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MCQ 114 Marks
In Column-I there are something and Column-II there values in common units. Match Column-l with Column-II:
Column - lColumn - II
(A) Density of nucleus(l) 85
(B) Time period of infinite length pendulum(II) $10^{17}$
(C) Speed of satellite very close of earth(III) 1
(D) Length of second pendulum in earth(IV) 8
Choose the correct answer from the options given below: 
  • (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  • B
    (A)-(IV), (B)-(II), (C)-(1), (D)-(III)
  • C
    (A)-(1), (B)-(III), (C)-(IV), (D)-(II)
  • D
    (A)-(1), (B)-(IV), (C)-(III), (D)-(II)
Answer
Correct option: A.
(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
A
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MCQ 124 Marks
The forbidden energy gap is maximum in:
  • A
    Metals
  • B
    Conductor
  • Insulators
  • D
    Semiconductor
Answer
Correct option: C.
Insulators
C
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MCQ 134 Marks
Density of Nucleus is:
  • $10^{17} kg / m ^3$
  • B
    $10^{19} kg / m ^3$
  • C
    $10^6 kg / m ^3$
  • D
    $10^2 kg / m ^3$
Answer
Correct option: A.
$10^{17} kg / m ^3$
(A) $10^{17} kg / m ^3$,
Density of Nucleus is $=2.29 \times 10^{17} kg / m ^3$
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MCQ 144 Marks
Which is incorrect statement:
  • A
    Bohr's model of atom is valid for only isolated one electron system
  • B
    Lentz's law obeys the law of conservation of energy
  • C
    Capacitor stores energy in the form of electric field
  • Open pipe forms only odd harmonics
Answer
Correct option: D.
Open pipe forms only odd harmonics
D
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MCQ 154 Marks
Which of the following graphs correctly represents the variation of particle momentum (P) with associated de brogle wavelength $(\lambda)$ :
  • A

    Image
  • B

    Image
  • C

    Image

  • Image
Answer
Correct option: D.

Image
(D)
Image,
$\lambda=\frac{h}{P} \Rightarrow P=\frac{h}{\lambda}$
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MCQ 164 Marks
The ratio of the kinetic energy $( K )$ and total energy (U) possessed by a body in S.H.M. when it is at a distance of $\left(\frac{1}{m}\right)$ of its amplitude from the mean position is :
  • A
    $m ^2$
  • $\frac{1}{m^2}$
  • C
    $m ^2+1$
  • D
    $m^2-1$
Answer
Correct option: B.
$\frac{1}{m^2}$
(B) $\frac{1}{m^2}$,
$K =\frac{1}{2} m \omega^2\left( a ^2- y ^2\right)=\frac{1}{2} m \omega^2\left(a^2-\frac{a^2}{m^2}\right)$
$\begin{array}{l} E =\frac{1}{2} m \omega^2 a ^2 \\ \frac{k}{E}=\frac{1}{m^2}\end{array}$
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MCQ 174 Marks
A double convex thin lens made up glass (R.I. = 1.5) has both radii of curvature of magnitude 20 cm. Incident light rays parallel to the axis of lens will converge at a distance _________________ cm from the lens:
  • 20
  • B
    10
  • C
    30
  • D
    40
Answer
Correct option: A.
20
(A) 20
$\begin{array}{l}\frac{1}{f}=\left(\frac{\mu_{\text {uns }}}{\mu_{\text {surr }}}-1\right)\left(\frac{1}{R_1}+\frac{1}{R_2}\right) \\ \frac{1}{f}=\left(\frac{1.5}{1}-1\right)\left(\frac{1}{20}+\frac{1}{20}\right) \\ \frac{1}{f}=(0.5)\left(\frac{2}{20}\right) \\ f=20 cm\end{array}$
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MCQ 184 Marks
The frequency a vibration of a system in case of forced vibration is equal to:
  • A
    Natural frequency of the system
  • Frequency of periodic force
  • C
    Slightly less than the natural frequency
  • D
    None of the above
Answer
Correct option: B.
Frequency of periodic force
(B) Frequency of periodic force,
System will oscillate Frequency of periodic force
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MCQ 194 Marks
A simple pendulum is vibrating with an angular amplitude of $90^{\circ}$ as shown in the adjoining figure. For what value of a is the acceleration directed vertically upwards
Image
  • $0^{\circ}$
  • B
    $90^{\circ}$
  • C
    $60^{\circ}$
  • D
    None of the above
Answer
Correct option: A.
$0^{\circ}$
(A) $0^{\circ}$,
Check by extream position's at $0^0 \quad T- mg =\frac{ mv ^2}{ R }$ upwards
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MCQ 204 Marks
The distance travelled of a particle in S.H.M. in one time period is :
where $(A)$ is amplitude
  • A
    A
  • B
    2 A
  • 4 A
  • D
    zero
Answer
Correct option: C.
4 A
C
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MCQ 214 Marks
When water is heated from $0^{\circ} C$ to $4^{\circ} C$, then :
  • A
    $C _{ p }= C _{ v }$
  • $C _{ p }< C _{ v }$
  • C
    $C _{ p }> C _{ v }$
  • D
    $C_p-C_v=R$.
Answer
Correct option: B.
$C _{ p }< C _{ v }$
(B) $C _{ p }< C _{ v }$,
When water is heated from 0 to $4^{\circ} C$, the volume decreases instead of increasing.
$\therefore$ Heat required at constant pressure is less than that at constant volume.
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MCQ 234 Marks
Heat energy absorbed by a system in going through a cyclic process shown in figure :
Image
  • A
    $10^7 \pi$ Joule
  • B
    $10^4 \pi$ Joule
  • $10^2 \pi$ Joule
  • D
    $10^{-3} \pi$ Joule
Answer
Correct option: C.
$10^2 \pi$ Joule
(C) $10^2 \pi$ Joule,
$Q=W \text { for ccylic process }$
Area of circle $=\pi r^2=\pi \times(10)^2$
$=10^2 \pi$ Joule
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MCQ 244 Marks
In a circuit containing an inductance of zero resistance, the current leads the applied AC voltage by a phase angle of:
  • A
    $90^{\circ}$
  • B
    $-90^{\circ}$
  • C
    $0^{\circ}$
  • $0^{\circ}$ to $180^{\circ}$
Answer
Correct option: D.
$0^{\circ}$ to $180^{\circ}$
D
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MCQ 254 Marks
The three vessels shown in figure having same base area. Equal volume of a liquid are poured in the three vessels. The force on the base will be:
Image
  • A
    Maximum in vessel (l)
  • B
    Maximum in vessel (II)
  • Maximum in vessel (III)
  • D
    Equal in all vessel
Answer
Correct option: C.
Maximum in vessel (III)
C
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MCQ 264 Marks
Which is correct statement:
  • A
    Magnetic susceptibility of ferromagnetic substance is high & + ve
  • B
    Magnetic susceptibility of paramagnetic substance is low & + ve
  • C
    Magnetic susceptibility of diamagnetic substance is low & negative
  • All are correct
Answer
Correct option: D.
All are correct
D
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MCQ 274 Marks
Find the $\int \overrightarrow{ B } . d \overrightarrow{ l }$ for semicircular arc PQR shown in figure
Image
  • A
    $12 a \pi$
  • Zero
  • C
    I a
  • D
    None of the above
Answer
Correct option: B.
Zero
B
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MCQ 284 Marks
A non-conducting rod AB of length I has a total charge q. The rod is rotated about an axis passing through its centre of mass with a constant angular velocity $\omega$ as shown in figure. The magnetic moment of the rod is :
Image
  • A
    $\frac{q \omega l^2}{2}$
  • B
    $\frac{q \omega l^2}{3}$
  • $\frac{q \omega l^2}{24}$
  • D
    $\frac{q \omega l^2}{6}$
Answer
Correct option: C.
$\frac{q \omega l^2}{24}$
(C) $\frac{q\omega l^2}{24}$,
$\begin{array}{l}\frac{M}{L}=\frac{q}{2 m} \\ M=\frac{q}{2 m}.L \\ M=\frac{q}{2 m} \cdot \frac{m l^2}{12} \omega \\ M=\frac{q \omega l^2}{24}\end{array}$
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MCQ 294 Marks
Which of the following is a unit of energy:
  • A
    Watt - second
  • All of the given
  • C
    Newton - meter
  • D
    Joule
Answer
Correct option: B.
All of the given
B
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MCQ 304 Marks
Electrostatic field is a:
  • A
    Uniform field
  • B
    None uniform filed
  • Conservative field
  • D
    Non conservative field
Answer
Correct option: C.
Conservative field
(C) Conservative field,
Electrostatic field is conservative field
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MCQ 314 Marks
When forces $\vec{P}_1, \vec{P}_2, \vec{P}_3$ are a acting on a particle of mass (m) such that $\vec{P}_2$ and $\vec{P}_3$ are mutually perpendicular if particle remains stationary then
  • A
    $\vec{P}_1=-\left(\vec{P}_2+\vec{P}_3\right)$
  • B
    $\vec{P}_1+\vec{P}_2+\vec{P}_3=0$
  • C
    $P_1=\sqrt{P_2^2+P_3^2}$
  • All of these
Answer
Correct option: D.
All of these
(D) All of these,
Particle is in stationary so
$\overrightarrow{P}_1+\overrightarrow{P}_2+\overrightarrow{P}_3=0$
$\begin{array}{l}\overrightarrow{ P }_1=-\left(\overrightarrow{ P }_2+\overrightarrow{ P }_3\right) \\ \left|\overrightarrow{ P }_1\right|=\sqrt{ P _2^2+ P _3^2}\end{array}$
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MCQ 324 Marks
Which is correct statement:
  • A
    Vector addition or subtraction is possible only between vectors of same kinds
  • B
    The product of vectors is possible between vectors of different kinds
  • C
    Unit vector has neither units nor dimensions
  • All are correct
Answer
Correct option: D.
All are correct
D
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MCQ 334 Marks
On increasing temperature resistivity of semiconductor:
  • A
    increases
  • decreases
  • C
    remains same
  • D
    first increases then decreases
Answer
Correct option: B.
decreases
B
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MCQ 354 Marks
If escape velocity on the surface of a planet is Ve. If planet shrinks such that its radius decreases to $1 / 4$ th of present radius without change in mass. Then escape speed on its surface is :
  • 2Ve
  • B
    Ve
  • C
    Ve/2
  • D
    Ve/4
Answer
Correct option: A.
2Ve
(A) 2 Ve,
$V _{ e }=\sqrt{\frac{2 GM }{ R }} \because M =$ constant if $R ^{\prime}=\frac{ R }{4}$
$V _{ e }^{\prime}=\sqrt{\frac{2 GM }{ R / 4}}=2 V_{ e }$
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MCQ 364 Marks
An electron is moving along +ve X-axis in perpendicular magnetic field which is pointing along + Y axis then forces on it is directed along :
  • A
    along + X axis
  • B
    along +Y axis
  • C
    along + Z-axis
  • along-ve Z-axis
Answer
Correct option: D.
along-ve Z-axis
(D) along-ve Z-axis,
use fleming left hand rule
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MCQ 374 Marks
In the midway between two equal and similar charges, a third equal and similar charge is placed. Then the third charge:
  • A
    Experiences a force along the equatorial line
  • B
    Experiences a net force along the axial line
  • C
    Is in an unstable equilibrium along axis
  • Is in a stable equilibrium along axis
Answer
Correct option: D.
Is in a stable equilibrium along axis
D
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MCQ 384 Marks
In which of the following collision conservation of linear momentum is valid:
  • In elastic collision
  • B
    Elastic collision
  • C
    Linear collision
  • D
    All of the above
Answer
Correct option: A.
In elastic collision
(A) In elastic collision,
$\frac{2 \mu}{\lambda}$
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MCQ 394 Marks
An unloaded truck can stopped by applying breaks on straight road after covering a distance (2 meter), when truck loaded by 50% of its weight and breaking force remain unchanged. How long will the truck go after by break force?
  • A
    2 meter
  • 3 meter
  • C
    4 meter
  • D
    6 meter
Answer
Correct option: B.
3 meter
(B) 3 meter,
Work done by force $=\Delta K . E$.
$
\begin{array}{l}
F \times S=\frac{1}{2} mv^2 \\
\frac{m_1}{m_2}=\frac{S_1}{S_2} \\
\frac{m}{m+m / 2}=\frac{2}{S^{\prime}} \Rightarrow \frac{2}{3}=\frac{2}{S^{\prime}} \\
S^{\prime}=3 m
\end{array}
$
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MCQ 404 Marks
In given force - time graph, area encloses by graph on time axis gives:
  • Impulse
  • B
    force
  • C
    Energy
  • D
    Velocity
Answer
Correct option: A.
Impulse
(A) Impulse,
Impulse $=$ force $\times$ time
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MCQ 414 Marks
A projectile is projected with velocity (u) from height (h) then speed on striking the ground is:
  • $\sqrt{u^2+2 g h}$
  • B
    $\sqrt{2 gh }$
  • C
    u
  • D
    $u+2 g h$
Answer
Correct option: A.
$\sqrt{u^2+2 g h}$
A
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MCQ 424 Marks
The escape velocity of a body depend upon mass (m) as :
  • $m ^0$
  • B
    $m ^1$
  • C
    $m ^2$
  • D
    $m ^3$
Answer
Correct option: A.
$m ^0$
(A) $m ^0$,
escape velocity $=\sqrt{2 g R _{ e }}$
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MCQ 434 Marks
$y = A \sin \left(\frac{\omega x}{v}-\omega k\right)$
Where $\omega$ is the angular frequency, $v$ is linear velocity? X is distance then dimension formula for $( k )$ is :
  • A
    $[ L\ T]$
  • $[ T ]$
  • C
    $\left[ T ^{-1}\right]$
  • D
    $\left[ T ^2\right]$
Answer
Correct option: B.
$[ T ]$
(B) $[ T ]$,
$\omega K$ should be dimension less
$[ K ]=[\omega]^{-1}=[ T ]$
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MCQ 444 Marks
Find equivalent resistance $b / w \quad A$ and $B$ :
Image
  • A
    $\frac{5 R}{3}$
  • B
    $\frac{8 R}{3}$
  • R
  • D
    8R
Answer
Correct option: C.
R
C
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MCQ 454 Marks
A tank containing water is fixed on a trolley. The rear side of the tank is attached by a spring to a wall. When the tap T is opened, water begins to flow out. If the spring constant is K, density of liquid is d, velocity of efflux is V, cross-sectional area of the tap is A, then the compression of the spring in equilibrium position is:
Image
  • $\frac{ dAV ^2}{K}$
  • B
    $\frac{2 d AV ^2}{K}$
  • C
    $\frac{d A V^2}{2 K}$
  • D
    $\frac{d A V}{K}$
Answer
Correct option: A.
$\frac{ dAV ^2}{K}$
(A) $\frac{d A V^2}{K}$,
$\begin{array}{l} kx = dAV ^2 \\ x =\frac{ dAV ^2}{ k }\end{array}$
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