Questions · Page 5 of 14

M.C.Q (1 Marks)

Question 2011 Mark
A capacitor having capacitance  C is charged to a voltage V. It is then removed and connected in parallel with another identical capacitor which is uncharged. The new charge on each capacitor is now(a) CV(b) CV / 2(c) 2 CV   (d) CV / 4
       
Answer
(b) CV / 2
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Question 2021 Mark
Three capacitors each of 6μF  are available. The minimum and maximum capacitances which may be obtained are(a) 6 μF, 18 μF(b) 3 μF, 12 μF(c) 2 μF, 12 μF(d) 2 μF, 18 μF
       
Answer
(d) 2 μF, 18 μF
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Question 2031 Mark
A 4 μF  condenser is connected in parallel to another condenser of 8 μF. Both the condensers are then connected in series with a 12 μF  condenser and charged to 20 volts. The charge on the plate of 4 μF condenser is(a) 3.3 μC(b) 40 μC(c) 80 μC(d) 240 μC
       
Answer
(b) 40 μC
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Question 2041 Mark
Two capacitors each of capacity 2 μF  are connected in parallel. This system is connected in series with a third capacitor of 12 μF  capacity. The equivalent capacity of the system will be(a) 16 μF                                            (b) 13 μF(c) 4 μF   (d) 3 μF
       
Answer
(d) 3 μF
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Question 2051 Mark
A parallel plate capacitor is made by stacking n equally spaced plates connected alternately. If the capacitance between any two plates is  C then the resultant capacitance is(a) C(b) nC (c) (n – 1)C(d) (n + 1)C
       
Answer
(c) (n – 1)C
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MCQ 2061 Mark
A condenser having a capacity of $6\ mF$ is charged to $100 V$ and is then joined to an uncharged condenser of $14\ \mu F$ and then removed. The ratio of the charges on 6mF and $14\ mF$ and the potential of $6\ mF$ will be
  • A
    $\frac{6}{14}$ and $50$ volt
  • B
    $\frac{14}{6}$ and $30$ volt
  • $\frac{6}{14}$ and $30$ volt
  • D
    $\frac{14}{6}$ and $0$ volt
Answer
Correct option: C.
$\frac{6}{14}$ and $30$ volt
$\frac{6}{14}$ and $30$ volt
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MCQ 2071 Mark
What is the equivalent capacitance between  $A$ and $B$ in the given figure $($all are in farad$)$
  • A
    $\frac{13}{18} F$
  • B
    $\frac{48}{13} F$
  • C
    $\frac{1}{31} F$
  • $\frac{240}{71} F$
Answer
Correct option: D.
$\frac{240}{71} F$
$\frac{240}{71} F$
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MCQ 2081 Mark
Four plates of the same area of cross$-$section are joined as shown in the figure. The distance between each plate is $d$. The equivalent capacity across $A$ and $B$ will be
  • A
    $\frac{2 \varepsilon_0 A}{ d }$
  • $\frac{3 \varepsilon_0 A}{ d }$
  • C
    $\frac{3 \varepsilon_0 A}{2 d}$
  • D
    $\frac{\varepsilon_0 A}{ d }$
Answer
Correct option: B.
$\frac{3 \varepsilon_0 A}{ d }$
$\frac{3 \varepsilon_0 A}{ d }$
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MCQ 2091 Mark
A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is $A$ metre$^2$ and the separation is $t$ metre. The dielectric constants are $k _1$ and $k _2$ respectively. Its capacitance in farad will be
  • A
    $\frac{z_0 A}{ t }\left( k _1+ k _2\right)$
  • $\frac{\varepsilon_0 A}{ t } \cdot \frac{ k _1+ k _2}{2}$
  • C
    $\frac{2 \varepsilon_0 A}{ t }\left( k _1+ k _2\right)$
  • D
    $\frac{z_0 A}{ t } \cdot \frac{ k _1- k _2}{2}$
Answer
Correct option: B.
$\frac{\varepsilon_0 A}{ t } \cdot \frac{ k _1+ k _2}{2}$
$\frac{\varepsilon_0 A}{ t } \cdot \frac{ k _1+ k _2}{2}$
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MCQ 2101 Mark
The capacities of two conductors are $C_1$ and $C_2$ and their respective potentials are $V_1$ and $V_2$. If they are connected by a thin wire, then the loss of energy will be given by
  • A
    $\frac{C_1 C_2\left(V_1+V_2\right)}{2\left(C_1+C_2\right)}$
  • B
    $\frac{C_1 C_2\left(V_1-V_2\right)}{2\left(C_1+C_2\right)}$
  • $\frac{C_1 C_2\left(V_1-V_2\right)^2}{2\left(C_1+C_2\right)}$
  • D
    $\frac{\left(C_1+C_2\right)\left(V_1-V_2\right)}{C_1 C_2}$
Answer
Correct option: C.
$\frac{C_1 C_2\left(V_1-V_2\right)^2}{2\left(C_1+C_2\right)}$
$\frac{C_1 C_2\left(V_1-V_2\right)^2}{2\left(C_1+C_2\right)}$
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MCQ 2111 Mark
A capacitor of capacity $C_1$ is charged to the pointurill File successfully uploaded. $x$, it is connected with a capacitor of capadity $C _2$ as shown in the adjoining figure. The ratio of energies before and after the connection of switch $S$ will be
  • $\left(C_1+C_2\right) / C_1$
  • B
    $C_1 /\left(C_1+C_2\right)$
  • C
    $C _1 C _2$
  • D
    $C_1 / C_2$
Answer
Correct option: A.
$\left(C_1+C_2\right) / C_1$
$\left(C_1+C_2\right) / C_1$
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MCQ 2121 Mark
Two capacitors of capacities $C_1$ and $C_2$ are charged to voltages $V_1$ and $V_2$ respectively. There will be no exchange of energy in connecting them in parallel, if
  • A
    $C_1=C_2$
  • B
    $C_1 V_1=C_2 V_2$
  • $ V_1=V_2$
  • D
    $\frac{C_1}{V_1}=\frac{C_2}{V_2}$ 
Answer
Correct option: C.
$ V_1=V_2$
$ V_1=V_2$
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MCQ 2131 Mark
Two capacitors connected in parallel having the capacities $C_1$ and $C_2$ are given $'q\ '$ charge, which is distributed among them. The ratio of the charge on $C_1$ and $C_2$ will be
  • $\frac{C_1}{C_2}$
  • B
    $\frac{C_2}{C_1}$
  • C
    $C_1 C_2$
  • D
    $\frac{1}{C_1 C_2}$
Answer
Correct option: A.
$\frac{C_1}{C_2}$
$\frac{C_1}{C_2}$
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Question 2141 Mark
Two capacitors of equal capacity are first connected in parallel and then in series. The ratio of the total capacities in the two cases will be(a) 2 : 1(b) 1 : 2(c) 4 : 1(d) 1 : 4
       
Answer
(c) 4 : 1
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Question 2151 Mark
A condenser of capacitance 10 μF has been charged to 100 volts. It is now connected to another uncharged condenser in parallel. The common potential becomes 40 volts. The capacitance of another condenser is(a) 15 μF (b) 5 μF(c) 10 μF(d) 16.6 μF
       
Answer
(a) 15 μF 
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MCQ 2161 Mark
Three capacitors of capacity $C_1, C_2, C_3$ are connected in series. Their total capacity will be
  • A
    $C_1+C_2+C_3$
  • B
    $1 ( C_1+C_2+C_3)$
  • $(C_1^{-1}+C_2^{{ }^{-1}}+C_3^{{ }^{-1}})^{-1}$
  • D
    None of these
Answer
Correct option: C.
$(C_1^{-1}+C_2^{{ }^{-1}}+C_3^{{ }^{-1}})^{-1}$
$(C_1^{-1}+C_2^{{ }^{-1}}+C_3^{{ }^{-1}})^{-1}$
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Question 2171 Mark
Three capacitances of capacity 10 μF, 5 μF  and 5 μF  are connected in parallel. The total capacity will be(a) 10 μF  (b) 5 μF(c) 20 μF(d) None of the above
       
Answer
(c) 20 μF
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MCQ 2181 Mark
Two capacitances of capacity $C_1$ and $C_2$ are connected in series and potential difference $V$ is applied across it. Then the potential difference across $C_1$ will be
  • A
    $V \frac{C_2}{C_1}$
  • B
    $V \frac{ C _1+ C _2}{ C _1}$
  • $V \frac{ C _2}{ C _1+ C _2}$
  • D
    $V \frac{C_1}{C_1+C_2}$
Answer
Correct option: C.
$V \frac{ C _2}{ C _1+ C _2}$
$V \frac{ C _2}{ C _1+ C _2}$
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MCQ 2191 Mark
In an adjoining figure are shown three capacitors $C_1, C_2$ and $C _3$ joined to a battery. The correct condition will be $($Symbols have their usual meanings$)$
  • A
    $Q_1=Q_2=Q_3$ and $V_1=V_2=V_3=V$
  • B
    $Q_1=Q_2+Q_3$ and $V=V_1+V_2+V_3$
  • $Q_1=Q_2+Q_3$ and $V=V_1+V_2$
  • D
    $Q_2=Q_3$ and $V_2=V_3$
Answer
Correct option: C.
$Q_1=Q_2+Q_3$ and $V=V_1+V_2$
$Q_1=Q_2+Q_3$ and $V=V_1+V_2$
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Question 2201 Mark
Two capacitors each of 1μF capacitance are connected in parallel and are then charged by 200 volts  d.c. supply. The total energy of their charges (in joules) is(a) 0.01(b) 0.02(c) 0.04(d) 0.06
       
Answer
(c) 0.04
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MCQ 2211 Mark
Four condensers each of capacity $4\ μF$  are connected as shown in figure $V_P - V_Q=15$ volts. The energy stored in the system is
  • A
    $2400$ ergs
  • $1800$ ergs
  • C
    $3600$ ergs
  • D
    $5400$ ergs
Answer
Correct option: B.
$1800$ ergs
$1800$ ergs
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MCQ 2221 Mark
Three capacitors of capacitances $3\ \mu F, 9\ \mu F$  and $18\ \mu F$  are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases $(\frac{ C _{ s }}{ C _{ p }})$ will be
  • $1 : 15$ 
  • B
    $15 : 1$
  • C
    $1 : 1$
  • D
    $1 : 3$
Answer
Correct option: A.
$1 : 15$ 
$1 : 15 $
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MCQ 2231 Mark
The condensers of capacity $C_1$ and $C_2$ are connected in parallel, then the equivalent capacitance is
  • $C _1+ C _2$
  • B
    $\frac{ C _1 C _2}{ C _1+ C _2}$
  • C
    $\frac{ C _1}{ C _2}$
  • D
    $\frac{ C _2}{ C _1}$
Answer
Correct option: A.
$C _1+ C _2$
$C _1+ C _2$
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Question 2241 Mark
A capacitor is charged to 200 volt it has 0.1 coulomb charge. When it is discharged, energy will be(a) 1 J(b) 4 J(c) 10 J(d) 20 J
       
Answer
(c) 10 J
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Question 2251 Mark
The potentials of the two plates of capacitor are +10V and –10 V. The charge on one of the plates is 40 C. The capacitance of the capacitor is(a) 2 F(b) 4 F(c) 0.5 F(d) 0.25 F
       
Answer
(a) 2 F
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MCQ 2261 Mark
Two metallic spheres of radii $1 \ cm$ and $2 \ cm$ are given charges $10^{-2} C$  and  $5 \times 10^{-2} C$  respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is
  • A
    $3 \times 10^{-2} C$
  • B
    $1 \times 10^{-2} C$
  • C
    $4 \times 10^{-2} C$
  • $2 {\times 10^{-2} C }$
Answer
Correct option: D.
$2 {\times 10^{-2} C }$
$2 {\times 10^{-2} C }$
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Question 2271 Mark
If the distance between the plates of parallel plate capacitor is halved and the dielectric constant of dielectric is doubled, then its capacity will(a) Increase by 16 times(b) Increase by 4 times(c) Increase by 2 times(d) Remain the same
   
   
Answer
(b) Increase by 4 times
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MCQ 2281 Mark
The capacity of an air condenser is $2.0\mu F.$ If a medium is placed between its plates. The capacity becomes $12\mu F.$ The dielectric constant of the medium will be
  • A
    $5$
  • B
    $4$
  • C
    $3$
  • $6$
Answer
Correct option: D.
$6$
$6$
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MCQ 2291 Mark
A parallel plate capacitor having a plate separation of $2\ mm$ is charged by connecting it to a $300\ V$ supply. The energy density is
  • A
    $0.01\ J/m^3$
  • $0.1\ J/m^3$
  • C
    $1.0\ J/m^3$
  • D
    $10\ J/m^3$
Answer
Correct option: B.
$0.1\ J/m^3$
$0.1\ J/m^3$
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MCQ 2301 Mark
A $4\mu F$ condenser is charged to $400\ V$ and then its plates are joined through a resistance. The heat produced in the resistance is
  • A
    $0.16\ J $
  • $0.32\ J$
  • C
    $0.64\ J$
  • D
    $1.28\ J$
Answer
Correct option: B.
$0.32\ J$
$0.32\ J$
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MCQ 2311 Mark
If the potential of a capacitor having capacity of $6\ mF$ is increased from $10\ V$ to $20\ V,$ then increase in its energy will be
  • A
    $12 \times 10^{–6} J$
  • $9 \times 10^{–4} J$
  • C
    $4 \times 10^{–6} J$
  • D
    $4 \times 10^{–9} J$
Answer
Correct option: B.
$9 \times 10^{–4} J$
$9 \times 10^{–4} J$
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Question 2321 Mark
When a lamp is connected in series with capacitor, then(a) Lamp will not glow(b) Lamp will burst out(c) Lamp will glow normally(d) None of these
   
   
Answer
(a) Lamp will not glow
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Question 2331 Mark
When a dielectric material is introduced between the plates of a charges condenser, then electric field between the plates (a) Remain constant(b) Decreases(c) Increases(d) First increases then decreases
   
   
Answer
(b) Decreases
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Question 2341 Mark
On increasing the plate separation of a charged condenser, the energy(a) Increases(b) Decreases(c) Remains unchanged(d) Becomes zero
       
Answer
(a) Increases
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Question 2351 Mark
An air filled parallel plate capacitor has capacity C. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is(a) 1 (b) 2(c) 3(d) 4
       
Answer
(d) 4
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MCQ 2361 Mark
A spherical drop of capacitance $1\ \mu F$ is broken into eight drops of equal radius. Then, the capacitance of each small drop is $......$
  • A
    ${\frac{1}{8}} \mu F$
  • B
    $8 \mu F$
  • $\frac{1}{2} \mu F$
  • D
    $\frac{1}{4} \mu F$
Answer
Correct option: C.
$\frac{1}{2} \mu F$
$\frac{1}{2} \mu F$
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MCQ 2371 Mark
A $40\mu F$ capacitor in a defibrillator is charged to $3000\ V.$ The energy stored in the capacitor is sent through the patient during a pulse of duration $2ms.$ The power delivered to the patient is
  • A
    $45\ kW$
  • $90\ kW$
  • C
    $180\ kW$
  • D
    $360\ kW$
Answer
Correct option: B.
$90\ kW$
$90\ kW$
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Question 2381 Mark
If a dielectric substance is introduced between the plates of a charged air-gap capacitor. The energy of the capacitor will(a) Increase(b) Decrease(c) Remain unchanged(d) First decrease and then increase
   
   
Answer
(b) Decrease
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Question 2391 Mark
If eight identical drops are joined to form a bigger drop, the potential on bigger as compared to that on smaller drop will be(a) Double(b) Four times(c) Eight times(d) One time
       
Answer
(b) Four times
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MCQ 2401 Mark
A charge of $40\  \mu C$ is given to a capacitor having capacitance $C = 10\  \mu F$. The stored energy in ergs is
  • A
    $80 \times 10^{-6} $
  • $800$
  • C
    $80$
  • D
    $8000$
Answer
Correct option: B.
$800$
$800$
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MCQ 2411 Mark
As in figure shown, if a capacitor $C$ is charged by connecting it with resistance $R,$ then energy is given by the battery will be
  • A
    $\frac{1}{2} CV ^2$
  • More than ${\frac{1}{2}} CV ^2$
  • C
    Less than ${\frac{1}{2}} CV ^2$
  • D
    Zero
Answer
Correct option: B.
More than ${\frac{1}{2}} CV ^2$
Less than ${\frac{1}{2}} CV ^2$
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MCQ 2421 Mark
A parallel plate capacitor carries a charge  $q.$ The distance between the plates is doubled by application of a force. The work done by the force is
  • A
    Zero
  • B
    $\frac{q^2}{c}$
  • $\frac{q^2}{2 c}$
  • D
    $\frac{q^2}{4 c}$
Answer
Correct option: C.
$\frac{q^2}{2 c}$
$\frac{q^2}{2 c}$
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Question 2431 Mark
64 drops of mercury each charged to a potential of 10V. They are combined to form one bigger drop. The potential of this drop will be (Assume all the drops to be spherical)(a) 160 V(b) 80 V(c) 10 V   (d) 640 V
       
Answer
(a) 160 V
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MCQ 2441 Mark
The work done in placing a charge of $8 \times 10^{-18}$ coulomb on a condenser of capacity $100$ micro$-$farad is
  • $32 \times 10^{-32}$ Joule
  • B
    $16 \times 10^{-32}$ Joule
  • C
    $3.1 \times 10^{-26}$ Joule
  • D
    $4{\times 10^{-10}}$ Joule
Answer
Correct option: A.
$32 \times 10^{-32}$ Joule
$32 \times 10^{-32}$ Joule
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MCQ 2451 Mark
The unit of electric permittivity is
  • A
    Volt/$m^2$
  • B
    Joule/coulomb
  • Farad/m
  • D
    Henry/m
Answer
Correct option: C.
Farad/m
Farad/m
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MCQ 2461 Mark
Four plates of equal area $A$ are separated by equal distances $d$ and are arranged as shown in the figure. The equivalent capacity is
  • $\frac{2 \varepsilon_0 A}{ d }$
  • B
    $\frac{3 \varepsilon_0 A}{ d }$
  • C
    $\frac{3 \varepsilon_{ o } A }{ d }$
  • D
    $\frac{\varepsilon_0 A}{ d }$
Answer
Correct option: A.
$\frac{2 \varepsilon_0 A}{ d }$
$\frac{2 \varepsilon_0 A}{ d }$
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Question 2471 Mark
A 10 micro-farad capacitor is charged to 500 V and then its plates are joined together through a resistance of 10 ohm. The heat produced in the resistance is(a) 500 J  (b) 250 J(c) 125 J  (d) 1.25 J
       
Answer
(d) 1.25 J
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Question 2481 Mark
Capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (d is the separation between the plates). The dielectric constant of the slab is(a) 8 (b) 4(c) 6  (d) 2
       
Answer
(d) 2
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Question 2491 Mark
A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted between the plates of the capacitor, then which of the following does not change(a) Electric field between the plates(b) Potential difference across the plates(c) Charge on the plates(d) Energy stored in the capacitor
   
   
Answer
(c) Charge on the plates
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Question 2501 Mark
A capacitor of capacitance 6μF  is charged upto 100 volt. The energy stored in the capacitor is(a) 0.6 Joule(b) 0.06 Joule(c) 0.03 Joule(d) 0.3 Joule
       
Answer
(c) 0.03 Joule
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