Questions · Page 5 of 14

M.C.Q (1 Marks)

MCQ 2011 Mark
Four condensers are joined as shown in the adjoining figure. The capacity of each is 8 μF. The equivalent capacity between the points A and B will be
  • 32 μF
  • B
    2 μF
  • C
    8 μF
  • D
    16 μF
Answer
Correct option: A.
32 μF
(a) 32 μF
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MCQ 2021 Mark
The capacitor of capacitance 4μF and 6 μF are connected in series. A potential difference of 500 volts applied to the outer plates of the two capacitor system. Then the charge on each capacitor is numerically
  • A
    6000 C
  • B
    1200 C
  • 1200 μC
  • D
    6000 μC
Answer
Correct option: C.
1200 μC
1200 μC
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MCQ 2031 Mark
A parallel plate capacitor with air as medium between the plates has a capacitance of 10 μF. The area of capacitor is divided into two equal halves and filled with two media as shown in the figure having dielectric constant $\mathrm{k}_1=2$ and $\mathrm{k}_2=4$. The capacitance of the system will now be
  • A
    10 μF
  • B
    20 μF
  • 30 μF
  • D
    40 μF
Answer
Correct option: C.
30 μF
(c) 30 μF
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MCQ 2041 Mark
Three capacitors are connected to D.C. source of 100 volts shown in the adjoining figure. If the charge accumulated on plates of $C_1,C_2$ and $C_3$ are $q_a,q_b,q_c,q_d,q_e$aand $q_f$ respectively, then
  • A
    $q_b+q_d+q_f=\frac{100}{9} C$
  • B
    $q_b+q_d+q_f=0$
  • C
    $q_a+q_c+q_e=50 C$
  • $q_b=q_d=q_f$
Answer
Correct option: D.
$q_b=q_d=q_f$
(d) $q_b=q_d=q_f$
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MCQ 2051 Mark
n identical condensers are joined in parallel and are charged to potential V. Now they are separated and joined in series. Then the total energy and potential difference of the combination will be
  • A
    Energy and potential difference remain same
  • Energy remains same and potential difference is nV
  • C
    Energy increases n times and potential difference is nV
  • D
    Energy increases n times and potential difference remains same
Answer
Correct option: B.
Energy remains same and potential difference is nV
Energy remains same and potential difference is nV
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MCQ 2061 Mark
Three capacitors each of capacitance 1μF are connected in parallel. To this combination, a fourth capacitor of capacitance 1μF is connected in series. The resultant capacitance of the system is
  • A
    4μF
  • B
    2μF
  • C
    $\frac{4}{3} \mu \mathrm{F}$
  • $\frac{3}{4} \mu \mathrm{F}$
Answer
Correct option: D.
$\frac{3}{4} \mu \mathrm{F}$
(d) $\frac{3}{4} \mu \mathrm{F}$
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MCQ 2071 Mark
Five capacitors of 10 μF capacity each are connected to a d.c. potential of 100 volts as shown in the adjoining figure. The equivalent capacitance between the points A and B will be equal to
  • A
    40 μF
  • B
    20 μF
  • C
    30 μF
  • 10 μF
Answer
Correct option: D.
10 μF
(d) 10 μF
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MCQ 2081 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
  • 2 F
  • B
    4 F
  • C
    0.5 F
  • D
    0.25 F
Answer
Correct option: A.
2 F
2 F
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MCQ 2091 Mark
Two metallic spheres of radii 1 cm and 2 cm are given charges $10^{-2} \mathrm{C}$ and 5 × $10^{-2} \mathrm{C}$ respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is
  • A
    $3 \times 10^{-2} \mathrm{C}$
  • B
    $1 \times 10^{-2} \mathrm{C}$
  • C
    $4 \times 10^{-2} \mathrm{C}$
  • $2 \times 10^{-2} \mathrm{C}$
Answer
Correct option: D.
$2 \times 10^{-2} \mathrm{C}$
(d) $2 \times 10^{-2} \mathrm{C}$
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MCQ 2101 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
  • Increase by 4 times
  • C
    Increase by 2 times
  • D
    Remain the same
Answer
Correct option: B.
Increase by 4 times
 Increase by 4 times
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MCQ 2111 Mark
The capacity of an air condenser is 2.0 mF. If a medium is placed between its plates. The capacity becomes 12 mF. 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 2121 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
    $0.01 \mathrm{~J} / \mathrm{m}^3$
  • $0.1 \mathrm{~J} / \mathrm{m}^3$
  • C
    $1.0 \mathrm{~J} / \mathrm{m}^3$
  • D
     $10 \mathrm{~J} / \mathrm{m}^3$
Answer
Correct option: B.
$0.1 \mathrm{~J} / \mathrm{m}^3$
$0.01 \mathrm{~J} / \mathrm{m}^3$
 
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MCQ 2131 Mark
A 4 mF 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 2141 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
    $12 \times 10^{-6} \mathrm{~J}$
  • $9 \times 10^{-4} \mathrm{~J}$
  • C
    $4 \times 10^{-6} \mathrm{~J}$
  • D
    $4 \times 10^{-9} \mathrm{~J}$
Answer
Correct option: B.
$9 \times 10^{-4} \mathrm{~J}$
$9 \times 10^{-4} \mathrm{~J}$
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MCQ 2151 Mark
When a lamp is connected in series with capacitor, then
  • Lamp will not glow
  • B
    Lamp will burst out
  • C
    Lamp will glow normally
  • D
    None of these
Answer
Correct option: A.
Lamp will not glow
Lamp will not glow
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MCQ 2161 Mark
When a dielectric material is introduced between the plates of a charges condenser, then electric field between the plates
  • A
    Remain constant
  • Decreases
  • C
    Increases
  • D
    First increases then decreases
Answer
Correct option: B.
Decreases
Decreases
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MCQ 2171 Mark
On increasing the plate separation of a charged condenser, the energy
  • Increases
  • B
    Decreases
  • C
    Remains unchanged
  • D
    Becomes zero
Answer
Correct option: A.
Increases
Increases
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MCQ 2181 Mark
An air filled parallel plate capacitor has capacity C. If distance between plates is doubled and it is immersed in a liquid then apacity becomes twice. Dielectric constant of the liquid is
  • A
    1
  • B
    2
  • C
    3
  • 4
Answer
Correct option: D.
4
4
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MCQ 2191 Mark
A spherical drop of capacitance 1 mF is broken into eight drops of equal radius. Then, the capacitance of each small drop is ......
  • A
    $\frac{1}{8}\mu F$
  • B
    8μF
  • $\frac{1}{2}\mu F$
  • D
    $\frac{1}{4}\mu F$
Answer
Correct option: C.
$\frac{1}{2}\mu F$
(c) $\frac{1}{2}\mu F$
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MCQ 2201 Mark
A 40 mF 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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MCQ 2211 Mark
If a dielectric substance is introduced between the plates of a charged air-gap capacitor. The energy of the capacitor will
  • A
    Increase
  • Decrease
  • C
    Remain unchanged
  • D
    First decrease and then increase
Answer
Correct option: B.
Decrease
Decrease
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MCQ 2221 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
  • One time
Answer
Correct option: D.
One time
Four times
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MCQ 2231 Mark
A charge of 40 μC is given to a capacitor having capacitance C = 10 μF. The stored energy in ergs is
  • A
    $80 \times 10^{-6}$
  • 800
  • C
    80
  • D
    8000
Answer
Correct option: B.
800
(b) 800
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MCQ 2241 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
    $\frac{1}{2} \mathrm{CV}^2$
  • More than $\frac{1}{2} \mathrm{CV}^2$
  • C
    Less than $\frac{1}{2} \mathrm{CV}^2$
  • D
    Zero
Answer
Correct option: B.
More than $\frac{1}{2} \mathrm{CV}^2$
(b) More than $\frac{1}{2} \mathrm{CV}^2$
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MCQ 2251 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.
$\frac{q^2}{2 C}$
(c) $\frac{q^2}{2 C}$
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MCQ 2261 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)
  • 160 V
  • B
    80 V
  • C
    10 V
  • D
    640 V
Answer
Correct option: A.
160 V
160 V
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MCQ 2271 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.
$32 \times 10^{-32}Joule$
(a) $32 \times 10^{-32}Joule$
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MCQ 2281 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 2291 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
  • 1.25 J
Answer
Correct option: D.
1.25 J
1.25 J
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MCQ 2301 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
  • 2
Answer
Correct option: D.
2
2
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MCQ 2311 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
  • Charge on the plates
  • D
    Energy stored in the capacitor
Answer
Correct option: C.
Charge on the plates
Charge on the plates
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MCQ 2321 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
  • 0.03 Joule
  • D
    0.3 Joule
Answer
Correct option: C.
0.03 Joule
0.03 Joule
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MCQ 2331 Mark
The capacitance of a parallel plate capacitor is 12μF. If the distance between the plates is doubled and area is halved, then new capacitance will be
  • A
    8μF
  • B
    6μF
  • C
    4μF
  • 3μF
Answer
Correct option: D.
3μF
3μF
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MCQ 2341 Mark
The energy required to charge a capacitor of 5μF by connecting a d.c. source of 20 kV is
  • A
    10 kJ
  • B
    5 kJ
  • C
    2 kJ
  • 1 kJ
Answer
Correct option: D.
1 kJ
1 kJ
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MCQ 2351 Mark
A condenser has a capacity $2\mu F$ and is charged to a voltage of $50 V$. The energy stored is
  • A
    $25 \times 10^5$ Joule
  • B
    $25$ Joule
  • C
    $ 25 \times 10 \mathrm{erg}$
  • $ 25 \times 10^3 \mathrm{erg}$
Answer
Correct option: D.
$ 25 \times 10^3 \mathrm{erg}$
$ 25 \times 10^3 \mathrm{erg}$
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MCQ 2361 Mark
Capacitance (in F) of a spherical conductor with radius 1m is 
  • $1.1 \times 10^{-10} $
  • B
    $10^{-6}$
  • C
    $9 ×10^{-9}$
  • D
    $10^{-3}$
Answer
Correct option: A.
$1.1 \times 10^{-10} $
(a) $1.1 \times 10^{-10} $
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MCQ 2371 Mark
64 small drops of mercury, each of radius r and charge q coalesce to form a big drop. The ratio of the surface density of charge of each small drop with that of the big drop is
  • A
    1 : 64
  • B
    64 : 1
  • C
    4 : 1
  • 1 : 4
Answer
Correct option: D.
1 : 4
1 : 4
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MCQ 2381 Mark
A conducting sphere of radius 10cm is charged 10μC. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the sphere are separated, then surface density of charges, on the spheres will be in the ratio of
  • A
    1 : 4
  • B
    1 : 3
  • 2 : 1
  • D
    1 : 1
Answer
Correct option: C.
2 : 1
2 : 1
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MCQ 2391 Mark
If $n$ drops, each of capacitance $C,$ coalesce to form a single big drop, then the ratio of the energy stored in the big drop to that in each small drop will be
  • A
    $ n: 1 $
  • B
    $ n^{1 / 3}: 1 $
  • $ n^{5 / 3}: 1$
  • D
    $ n^2: 1$
Answer
Correct option: C.
$ n^{5 / 3}: 1$
$ n^{5 / 3}: 1$
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MCQ 2401 Mark
If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to
  • A
    $\mathrm{CV}$
  • $\frac{1}{2} \mathrm{nCV}^2$
  • C
    $\mathrm{CV}^2$
  • D
    $\frac{1}{2 \mathrm{n}} \mathrm{CV}^2$
Answer
Correct option: B.
$\frac{1}{2} \mathrm{nCV}^2$
(b) $\frac{1}{2} \mathrm{nCV}^2$
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MCQ 2411 Mark
A thin metal plate P is inserted half way between the plates of a parallel plate capacitor of capacitance C in such a way that it is parallel to the two plates. The capacitance now becomes
  • C
  • B
    C/2
  • C
    4C
  • D
    None of these
Answer
Correct option: A.
C
C
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MCQ 2421 Mark
Putting a dielectric substance between two plates of condenser, capacity, potential and potential energy respectively
  • Increase, decrease, decrease
  • B
    Decrease, increase, increase
  • C
    Increase, increase, increase
  • D
    Decrease, decrease, decrease
Answer
Correct option: A.
Increase, decrease, decrease
Increase, decrease, decrease
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MCQ 2431 Mark
If the distance between parallel plates of a capacitor is halved and dielectric constant is doubled then the capacitance
  • A
    Decreases two times
  • B
    Increases two times
  • Increases four times
  • D
    Remain the same
Answer
Correct option: C.
Increases four times
Increases four times
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MCQ 2441 Mark
The electric field between the plates of a parallel plate capacitor when connected to a certain battery I . If the space between the plates of the capacitor is filled by introducing a material of dielectric constant K without disturbing the battery connections, the field between the plates shall be
  • A
    $KE_0$
  • $E_0$
  • C
    $\frac{E_0}{K}$
  • D
    None of the above
Answer
Correct option: B.
$E_0$
(b) $E_0$
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MCQ 2451 Mark
A parallel plate capacitor has an electric field of $10^5/VM$ between the plates. If the charge on the capacitor plate is 1μC, the force on each capacitor plate is
  • A
    0.5 N
  • 0.05 N
  • C
    0.005 N
  • D
    None of these
Answer
Correct option: B.
0.05 N
(b) 0.05 N
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MCQ 2461 Mark
Work done by an external agent in separating the parallel plate capacitor is
  • A
    $\mathrm{CV}$
  • B
    $\frac{1}{2} \mathrm{C^2 V}$
  • $\frac{1}{2} \mathrm{CV}^2$
  • D
    None of these
Answer
Correct option: C.
$\frac{1}{2} \mathrm{CV}^2$
(c) $\frac{1}{2} \mathrm{CV}^2$
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MCQ 2471 Mark
A 10 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor
  • $1.25\times10^{-8}J$
  • B
    $2.5 \times10^{-7}J$
  • C
    $3.5 \times10^{-5}J $
  • D
    $4.5 \times10^{-2}J$
Answer
Correct option: A.
$1.25\times10^{-8}J$
(a)$1.25\times10^{-8}J$
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MCQ 2481 Mark
A parallel plate air capacitor is charged to a potential difference of V. After disconnecting the battery, distance between the plates of the capacitor is increased using an insulating handle. As a result, the potential difference between the plates
  • A
    Decreases
  • Increases
  • C
    Becomes zero
  • D
    Does not change
Answer
Correct option: B.
Increases
Increases
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MCQ 2491 Mark
A parallel plate capacitor of capacity $C_0$ is charged to a potential $V_0$
(i) The energy stored in the capacitor when the battery is disconnected and the separation is doubled $E_1$
(ii) The energy stored in the capacitor when the charging battery is kept connected and the separation between the capacitor plates is doubled is $E_2$Then $E_1/E_2$ value is 
  • 4
  • B
    3/2
  • C
    2
  • D
    1/2
Answer
Correct option: A.
4
(a) 4
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MCQ 2501 Mark
The mean electric energy density between the plates of a charged capacitor is (here q = charge on the capacitor and A = area of the capacitor plate) 
  • $\frac{\mathrm{q}^2}{2 \varepsilon_0 A^2}$
  • B
    $\frac{\mathrm{q}}{2 \varepsilon_0 A^2}$
  • C
    $\frac{\mathrm{q}^2}{2 \varepsilon_0 A}$
  • D
    None of the above
Answer
Correct option: A.
$\frac{\mathrm{q}^2}{2 \varepsilon_0 A^2}$
(a) $\frac{\mathrm{q}^2}{2 \varepsilon_0 A^2}$
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