Questions · Page 2 of 14

M.C.Q (1 Marks)

MCQ 511 Mark
Electric potential is given by $V = 6x - 8xy^2 - 8y + 6yz - 4z^2\ T,$ hen electric force acting on $2C$  point charge placed on origin will be
  • A
    $2N$
  • B
    $6N$
  • C
    $8N$
  • $20 N$
Answer
Correct option: D.
$20 N$
$20 N$
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MCQ 521 Mark
A point charge $q$ is placed at a distance $a/2$ directly above the centre of a square of side $a$. The electric flux through the square is
  • A
    $\frac{ q }{\varepsilon_0}$
  • B
    $\frac{ q }{\pi \varepsilon_0}$
  • C
    $\frac{ q }{4 \varepsilon_0}$
  • $\frac{ q }{6 \varepsilon_0}$
Answer
Correct option: D.
$\frac{ q }{6 \varepsilon_0}$
$\frac{ q }{6 \varepsilon_0}$
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MCQ 531 Mark
Three positive charges of equal value $q$ are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in
  • A
  • B
  • D
Answer
Correct option: C.
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MCQ 541 Mark
Two capacitors $C_1$ and $C_2 = 2C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and $C_1$ holds charge $Q.$ The switch is closed. At steady state, the charge on each capacitor will be
  • A
    $Q, 2Q$
  • $Q/3, 2Q/3$
  • C
    $3Q/2, 3Q$
  • D
    $2Q/3, 4Q/3$
Answer
Correct option: B.
$Q/3, 2Q/3$
$Q/3, 2Q/3$
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MCQ 551 Mark
In the given network capacitance$, C_1 = 10\ \mu F, C_2 = 5\ \mu F$ and $C_3 = 4\ \mu F$. What is the resultant capacitance between $A$ and $B$
  • A
    $2.2\  \mu F$
  • $3.2\  \mu F$
  • C
    $1.2 \ \mu F$
  • D
    $4.7\  \mu F$
Answer
Correct option: B.
$3.2\  \mu F$
$3.2\  \mu F$
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MCQ 561 Mark
In the given figure the capacitors $C_1, C_3, C_4, C_5$ have a capacitance $4\ mF$ each if the capacitor $C_2$ has a capacitance $10\ mF,$ then effective capacitance between $A$ and $B$ will be
  • A
    $2\ mF$
  • $4\ mF$
  • C
    $6\ mF$
  • D
    $8\ mF$
Answer
Correct option: B.
$4\ mF$
$4\ mF$
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MCQ 571 Mark
The resultant capacitance of given circuit is
  • $3C$
  • B
    $2C$
  • C
    $C$
  • D
    $\frac{C}{3} $
Answer
Correct option: A.
$3C$
$3C$
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MCQ 581 Mark
The charge on a capacitor of capacitance $10 \ \mu F$ connected as shown in the figure is         
  • $20\  \mu C$
  • B
    $15\  \mu C$
  • C
    $10 \ \mu C$
  • D
    Zero
Answer
Correct option: A.
$20\  \mu C$
$20\ \mu C$
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MCQ 591 Mark
Four capacitors are connected in a circuit as shown in the figure. The effective capacitance in $\mu F$ between points $A$ and $B$ will be
  • A
    $\frac{28}{9}$
  • B
    $ 4$
  • $5$
  • D
    $18$
Answer
Correct option: C.
$5$
$5$
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MCQ 601 Mark
In the connections shown in the adjoining figure, the equivalent capacity between $A$ and $B$ will be
  • A
    $10.8 \ \mu F$
  • B
    $69\  \mu F$
  • C
    $15\  \mu F$
  • $10 \ \mu F$
Answer
Correct option: D.
$10 \ \mu F$
$10 \ \mu F$
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MCQ 611 Mark
The equivalent capacitance between $A $ and $B$ in the figure is $1\ \mu F$. Then the value of capacitance $C$ is
  • $1.4\ \mu F$
  • B
    $2.5\  \mu F$
  • C
    $3.5 \ \mu F$
  • D
    $1.2 \ \mu F$
Answer
Correct option: A.
$1.4\ \mu F$
$1.4\ \mu F$
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MCQ 621 Mark
Three equal capacitors, each with capacitance $C$ are connected as shown in figure. Then the equivalent capacitance between $A$ and $B$ is
  • A
    $C$
  • $3C$
  • C
    $\frac{C}{3}$
  • D
    $\frac{3C}{2}$
Answer
Correct option: B.
$3C$
$3C$
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Question 631 Mark
A capacitor is kept connected to the battery and a dielectric slab is inserted between the plates. During this process(a) No work is done(b) Work is done at the cost of the energy already stored in the capacitor before the slab is inserted(c) Work is done at the cost of the battery(d) Work is done at the cost of both the capacitor and the battery
 
 
 
 
Answer
(c) Work is done at the cost of the battery
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MCQ 641 Mark
In the circuit diagram shown in the adjoining figure, the resultant capacitance between $P$ and $Q$ is
  • A
    $47\  \mu F$
  • $3\  \mu F$
  • C
    $60\  \mu F$
  • D
    $10\  \mu F$
Answer
Correct option: B.
$3\  \mu F$
$3\  \mu F$
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MCQ 651 Mark
A frictionless dielectric plate $S$ is kept on a frictionless table $T$. A charged parallel plate capacitance $C\ ($of which the plates are frictionless$)$ is kept near it. The plate $S$ is between the plates. When the plate $S$ is left between the plates
  • A
    It will remain stationary on the table
  • B
    It is pulled by the capacitor and will pass on the other end
  • It is pulled between the plates and will remain there
  • D
    All the above statements are false
Answer
Correct option: C.
It is pulled between the plates and will remain there
It is pulled between the plates and will remain there
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MCQ 661 Mark
If an electron moves from rest from a point at which potential is $50$ volt to another point at which potential is $70$ volt, then its kinetic energy in the final state will be
  • A
    $3.2 \times 10^{–10} J$
  • $3.2 \times 10^{–18} J$
  • C
    $1 N $
  • D
    $1$ dyne
Answer
Correct option: B.
$3.2 \times 10^{–18} J$
$3.2 \times 10^{–18} J$
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MCQ 671 Mark
A square of side $'a\ '$ has charge $Q$ at its centre and charge $'q\ '$ at one of the corners. The work required to be done in moving the charge $'q\ '$ from the corner to the diagonally opposite corner is
  • Zero
  • B
    $\frac{ Qq }{4 \pi \epsilon_0 a } $
  • C
    $\frac{ Qq \sqrt{2}}{4 \pi \epsilon_0 a } $
  • D
    $\frac{ Qq }{2 \pi \epsilon_0 a }$
Answer
Correct option: A.
Zero
Zero
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MCQ 681 Mark
In the circuit here, the steady state voltage across capacitor $C$ is a fraction of the battery $\text{e.m.f.}$ The fraction is decided by
  • A
    $R_1$ only
  • $R_1$ and $R_2$ only
  • C
    $R_1$ and $R_3$ only
  • D
    $R_1,R_2$ and $R_3$
Answer
Correct option: B.
$R_1$ and $R_2$ only
$R_1$ and $R_2$ only
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MCQ 691 Mark
In the adjoining figure, four capacitors are shown with their respective capacities and the $P.D.$ applied. The charge and the $P.D.$ across the $4\ \mu F$ capacitor will be
  • A
    $600\  \mu C; 150$ volts
  • B
    $300 \ \mu C; 75$ volts
  • C
    $800\  \mu C; 200$ volts
  • $580\  \mu C; 145$ volts
Answer
Correct option: D.
$580\  \mu C; 145$ volts
$580\ \mu C; 145$ volts
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MCQ 701 Mark
Charges $q, 2q, 3q$ and $4q$ are placed at the corners $\text{A, B, C}$ and $\text{D}$ of a square as shown in the following figure. The direction of electric field at the centre of the square is along
  • A
    $AB$
  • $CB$
  • C
    $BD$
  • D
    $AC$
Answer
Correct option: B.
$CB$
$CB$
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MCQ 711 Mark
A hollow conducting sphere is placed in anriccincill Fuccessfully uploaded. $x$ as shown in figure. Let $V_A, V_B, V_C$ be the potentials at points $A, B$ and $C$ respectively. Then
  • A
    $V_C>V_B$
  • B
    $V_B>V_C$
  • C
    $V _{A}> V _{B}$
  • $V_A=V_C$
Answer
Correct option: D.
$V_A=V_C$
$V_A=V_C$
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MCQ 721 Mark
A charge $(-q)$ and another charge $(+Q)$ are kept at two points $A$ and $B$ respectively. Keeping the charge $(+Q)$ fixed at $B,$ the charge $(-q)$ at $A$ is moved to another point $C$ such that $\text{ABC}$ forms an equilateral triangle of side $l.$ The net work done in moving the charge $(-q)$ is
  • A
    $\frac{1}{4 \pi \varepsilon_0} \frac{ Qq }{1}$
  • B
    $ \frac{1}{4 \pi \varepsilon_0} \frac{ Qq }{1^2}$
  • C
    $\frac{1}{4 \pi \varepsilon_0} Qql$
  •  Zero
Answer
Correct option: D.
 Zero
Zero
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Question 731 Mark
Two positive point charges of 12 μC  and 8 μC  are 10cm apart. The work done in bringing them 4 cm closer is (a) 5.8 J   (b) 5.8 eV(c) 13 J(d) 13 eV
       
Answer
(c) 13 J
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MCQ 741 Mark
A particle of mass $m$ and charge $q$ is placed at rest in a uniform electric field $E$ and then released. The kinetic energy attained by the particle after moving a distance $y$ is
  • A
    $qEy^2$ 
  • B
    $qE^2y$​​​​​​​
  • $qEy$
  • D
    $q^2Ey$ 
Answer
Correct option: C.
$qEy$
$qEy$
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MCQ 751 Mark
In the given figure distance of the point from $A$ where the electric field is zero is
  • A
    $20 \ cm$
  • B
    $10 \ cm$
  • $33 \ cm$
  • D
    None of these
Answer
Correct option: C.
$33 \ cm$
$33 \ cm$
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MCQ 761 Mark
The capacities and connection of five capacitors are shown in the adjoining figure. The potential difference between the points $A$ and $4$ is $60$ volts . Then the equivalent capacity between $A$ and $B$ and the charge on $5\ \mu F$ capacitance will be respectively
  • A
    $44 \ \mu F, 300 \ \mu C$
  • B
    $16 \ \mu F, 150 \ \mu C$
  • C
    $15 \ \mu F, 200 \ \mu C$
  • $4 \ \mu F, 50 \ \mu C$
Answer
Correct option: D.
$4 \ \mu F, 50 \ \mu C$
$4 \ \mu F, 50 \ \mu C$
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MCQ 771 Mark
In the electric field of a point charge q, a certain charge is carried from point $\text{A}$ to $\text{B, C, D}$ and $\text{E}$. Then the work done
  • A
    Is least along the path $\text{AB}$
  • B
    Is least along the path $\text{AD}$
  • Is zero along all the paths $\text{AB, AC, AD}$  and $\text{AE}$
  • D
    Is least along $\text{AE}$
Answer
Correct option: C.
Is zero along all the paths $\text{AB, AC, AD}$  and $\text{AE}$
Is zero along all the paths $\text{AB, AC, AD}$  and $\text{AE}$
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MCQ 781 Mark
The number of electrons to be put on a spherical conductor of radius $0.1m$ to produce an electric field of $0.036\ N/C$ just above its surface is
  • A
    $2.7 \times 10^5$
  • B
    $2.6 \times 10^5$
  • $2.5 \times 10^5$
  • D
    $2.4 \times 10^5$
Answer
Correct option: C.
$2.5 \times 10^5$
$2.5 \times 10^5$
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MCQ 791 Mark
An electric dipole of moment $\vec{p}$ placed in a uniform electric field $\vec{E}$ has minimum potential energy when the angle between $\vec{p}$ and $\vec{E}$ is
  • Zero
  • B
    ${\frac{\pi}{2}}$
  • C
    $\pi$
  • D
    ${\frac{3 \pi}{2}}$
Answer
Correct option: A.
Zero
Zero
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MCQ 801 Mark
A charge $q$ is placed at the centre of the line joining two equal charges $Q$. The system of the three charges will be in equilibrium, if $q$ is equal to
  • A
    $-\frac{Q}{2}$
  • $-\frac{Q}{4}$
  • C
    $+\frac{Q}{4}$
  • D
    $+\frac{Q}{2}$ 
Answer
Correct option: B.
$-\frac{Q}{4}$
$-\frac{Q}{4}$
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MCQ 811 Mark
A capacitor when filled with a dielectric $K = 3$ has charge $Q_0,$ voltage $V_0$ and field $E_0$. If the dielectric is replaced with another one having $K = 9$  the new values of charge, voltage and field will be respectively
  • A
    $3 Q _0, 3 V_0, 3 E _0 \\ Q _0, 3 V_0, 3 E _0$
  • B
    $Q _0, \frac{V_0}{3}, 3 E _0$
  • C
    $Q _0, \frac{V_0}{3}, 3 E _0$
  • $\frac{V_0}{3}, \frac{ E _0}{3} $
Answer
Correct option: D.
$\frac{V_0}{3}, \frac{ E _0}{3} $
$\frac{V_0}{3}, \frac{ E _0}{3} $
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Question 821 Mark
Inside a hollow charged spherical conductor, the potential (a) Is constant(b) Varies directly as the distance from the centre(c) Varies inversely as the distance from the centre(d) Varies inversely as the square of the distance from the centre
 
 
 
 
Answer
(a) Is constant
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Question 831 Mark
Assertion :   If a point charge q is placed in front of an infinite grounded conducting plane surface, the point charge will experience a force.
Reason     : This force is due to the induced charge on the conducting surface which is at zero potential.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
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Question 841 Mark
Assertion :   Charge is quantized
Reason    : Charge, which is less than 1 C is not possible(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(c) If assertion is true but reason is false.
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Question 851 Mark
Assertion :   The capacity of a given conductor remains same even if charge is varied on it.
Reason      : Capacitance depends upon nearly medium as well as size and shape of conductor.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
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Question 861 Mark
Assertion  :   When charges are shared between any two bodies, no charge is really lost, but some loss of energy does occur.
Reason      : Some energy disappears in the form of heat, sparking etc.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
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Question 871 Mark
Assertion  :   Dielectric breakdown occurs under the influence of an intense light beam.
Reason      : Electromagnetic radiations exert pressure.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
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Question 881 Mark
Assertion  :   If a proton and an electron are placed in the same uniform electric field. They experience different acceleration.
Reason     : Electric force on a test charge is independent of its mass.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
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Question 891 Mark
Assertion  :   Electric lines of force cross each other.
Reason      : Electric field at a point superimpose to give one resultant electric field.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If assertion is false but reason is true.
 
 
 
 
Answer
(d) If assertion is false but reason is true.
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MCQ 901 Mark
Four metallic plates each with a surface area of one side $A$ are placed at a distance d from each other. The plates are connected as shown in the circuit diagram. Then the capacitance of the system between $a$  and $b$  is
  • A
    $\frac{3 \varepsilon_0 A}{d}$
  • B
    $\frac{2 \varepsilon_0 A}{d}$
  • C
    $\frac{2 \varepsilon_0 A}{3 d}$
  • $\frac{3 \varepsilon_0 A}{2 d}$
Answer
Correct option: D.
$\frac{3 \varepsilon_0 A}{2 d}$
$\frac{3 \varepsilon_0 A}{2 d}$
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MCQ 911 Mark
Assertion :   If three capacitors of capacitance $C_1 < C_2 < C_3$ are connected in parallel then their equivalent capacitance $C_p > C_s$
Reason :  $\frac{1}{C_P}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_s}$
  • A
    If both assertion and reason are true and the reason is the correct explanation of the assertion.
  • B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
  • If assertion is true but reason is false.
  • D
    If the assertion and reason both are false.
Answer
Correct option: C.
If assertion is true but reason is false.
If assertion is true but reason is false.
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Question 921 Mark
Assertion   :   A metallic shield in form of a hollow shell may be built to block an electric field.
Reason       : In a hollow spherical shield, the electric field inside it is zero at every point. (a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
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MCQ 931 Mark
Figure $(a)$ shows two capacitors connected in series and joined to a battery. The graph in figure $(b)$ shows the variation in potential as one moves from left to right on the branch containing the capacitors, if
  • A
    $C_1 > C_2$
  • B
    $C_1 = C_2$
  • $C_1 < C_2$
  • D
    The information is not sufficient to decide the relation between $C_1$ and $C_2$
Answer
Correct option: C.
$C_1 < C_2$
$C_1 < C_2$
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MCQ 941 Mark
A fully charged capacitor has a capacitance $'C\ '$. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $'s\ '$ and mass $'m\ '$. If the temperature of the block is raised by $'\triangle T\ ',$ the potential difference $'V\ '$ across the capacitance is
  • A
    $\frac{m s \Delta T}{C}$
  • $ \sqrt{\frac{2 m s \Delta T}{C}}$
  • C
    $\sqrt{\frac{2 m C \Delta T}{s}}$
  • D
    $\frac{m C \Delta T}{s}$
Answer
Correct option: B.
$ \sqrt{\frac{2 m s \Delta T}{C}}$
$ \sqrt{\frac{2 m s \Delta T}{C}}$
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MCQ 951 Mark
The plates of a parallel plate condenser are pulled apart with $a$ velocity $v$. If at any instant their mutual distance of separation is $d,$ then the magnitude of the time of rate of change of capacity depends on $d$ as follows
  • A
    $\frac{1}{d}$
  • $\frac{1}{d^2}$
  • C
    $d^2$
  • D
    $d$
Answer
Correct option: B.
$\frac{1}{d^2}$
$\frac{1}{d^2}$
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Question 961 Mark
The plates of a capacitor are charged to a potential difference of 320 volts and are then connected across a resistor. The potential difference across the capacitor decays exponentially with time. After 1 second  the potential difference between the plates of the capacitor is 240 volts, then after 2 and 3 seconds the potential difference between the plates will be(a) 200 and 180 V(b) 180 and 135 V(c) 160 and 80 V(d) 140 and 20 V
       
Answer
(b) 180 and 135 V
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Question 971 Mark
Assertion   :   Charge is invariant.
Reason      : Charge does not depends on speed of frame of reference.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
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MCQ 981 Mark
Figure given below shows two identical parallel plate capacitors connected to a battery with switch $S$ closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant $3$. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric
.
  • A
    $3 : 1$
  • B
    $5 : 1$
  • $3 : 5$
  • D
    $5 : 3$
Answer
Correct option: C.
$3 : 5$
$3 : 5$
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MCQ 991 Mark
In an $RC$ circuit while charging, the graph of in $i$ versus time is as shown by the dotted line in the diagram figure, where $i$ is the current. When the value of the resistance is doubled, which of the solid curve best represents the variation of in $i$ versus time
  • A
    $P$
  • $Q$
  • C
    $R$
  • D
    $S$
Answer
Correct option: B.
$Q$
$Q$
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MCQ 1001 Mark
Two identical point charges are placed at a separation of $d. P$ is a point on the line joining the charges, at a distance $x$ from any one charge. The field at $P$ is $E, E$ is plotted against $x$ for values of $x$ from close to zero to slightly less than $d$. Which of the following represents the resulting curve
  • A
  • B
  • C
Answer
Correct option: D.
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