Questions · Page 6 of 14

M.C.Q (1 Marks)

MCQ 2511 Mark
A capacitor is used to store 24 watt hour of energy at 1200 volt. What should be the capacitance of the capacitor
  • 120 mF
  • B
    120 μF
  • C
    24 μF
  • D
    24 mF
Answer
Correct option: A.
120 mF
120 mF
View full question & answer
MCQ 2521 Mark
The capacity of a parallel plate condenser is 10 μF, when the distance between its plates is 8 cm. If the distance between the plates is reduced to 4 cm, then the capacity of this parallel plate condenser will be
  • A
    5 μF
  • B
    10 μF
  • 20 μF
  • D
    40 μF
Answer
Correct option: C.
20 μF
20 μF
View full question & answer
MCQ 2531 Mark
Two spherical conductors A and B of radius a and b (b > a) are placed in air concentrically B is given charge + Q coulomb and A is grounded. The equivalent capacitance of these is
  • A
    $4 \pi \varepsilon_0 \frac{a b}{b-a}$
  • B
    $4 \pi \varepsilon_0(\mathrm{a}+\mathrm{b})$
  • C
    $4 \pi \varepsilon_0 b$
  • $4 \pi \varepsilon_0 \frac{\mathrm{b}^2}{\mathrm{~b}-\mathrm{a}}$
Answer
Correct option: D.
$4 \pi \varepsilon_0 \frac{\mathrm{b}^2}{\mathrm{~b}-\mathrm{a}}$
(d) $4 \pi \varepsilon_0 \frac{\mathrm{b}^2}{\mathrm{~b}-\mathrm{a}}$
View full question & answer
MCQ 2541 Mark
A solid conducting sphere of radius $R_1$ is surrounded by another concentric hollow conducting sphere of radius $R_2$. The capacitance of this assembly is proportional to
  • A
    $\frac{R_2-R_1}{R_1 R_2}$
  • B
    $\frac{R_2+R_1}{R_1 R_2}$
  • C
    $\frac{R_1 R_2}{R_1+R_2}$
  • $\frac{R_1 R_2}{R_1-R_2}$
Answer
Correct option: D.
$\frac{R_1 R_2}{R_1-R_2}$
(d) $\frac{R_1 R_2}{R_1-R_2}$
View full question & answer
MCQ 2551 Mark
A body of capacity 4μF is charged to 80 V and another body of capacity 6μF is charged to 30V. When they are connected the energy lost by 4 μF capacitor is
  • 7.8 mJ
  • B
    4.6 mJ
  • C
    3.2 mJ
  • D
    2.5 mJ
Answer
Correct option: A.
7.8 mJ
7.8 mJ
View full question & answer
MCQ 2561 Mark
While a capacitor remains connected to a battery and dielectric slab is applied between the plates, then
  • A
    Potential difference between the plates is changed
  • Charge flows from the battery to the capacitor
  • C
    Electric field between the plates increases
  • D
    Energy store in the capacitor decreases
Answer
Correct option: B.
Charge flows from the battery to the capacitor
Charge flows from the battery to the capacitor
View full question & answer
MCQ 2571 Mark
In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be
  • A
    $\frac{\mathrm{C}}{2}$
  • B
    $\frac{\mathrm{3C}}{2}$
  • C
    4C
  • 2C
Answer
Correct option: D.
2C
(d) 2C
View full question & answer
MCQ 2581 Mark
Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15 μC each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is
  • A
    5 μC
  • 10 μC
  • C
    15 μC
  • D
    20 μC
Answer
Correct option: B.
10 μC
10 μC
View full question & answer
MCQ 2591 Mark
Two insulated metallic spheres of 3 μF and 5 μF capacitances are charged to 300 V and 500V respectively. The energy loss, when they are connected by a wire is
  • A
    0.012 J
  • B
    0.0218 J
  • 0.0375 J
  • D
    3.75 J
Answer
Correct option: C.
0.0375 J
0.0375 J
View full question & answer
MCQ 2601 Mark
The capacity of a parallel plate capacitor with no dielectric substance but with a separation of 0.4 cm is 2 μF. The separation is reduced to half and it is filled with a dielectric substance of value 2.8. The final capacity of the capacitor is
  • 11.2 μF
  • B
    15.6 μF
  • C
    19.2 μF
  • D
    22. 4 μF
Answer
Correct option: A.
11.2 μF
11.2 μF
View full question & answer
MCQ 2611 Mark
A metallic sheet is inserted between the plates of a parallel plate capacitor. The capacitance of the capacitor
  • A
    Increases
  • B
    Is independent of the position of the sheet
  • C
    Is maximum when the metal sheet in the middle
  • a, b
Answer
Correct option: D.
a, b
a, b
View full question & answer
MCQ 2621 Mark
In a capacitor of capacitance 20 μF, the distance between the plates is 2mm. If a dielectric slab of width 1mm and dielectric constant 2 is inserted between the plates, then the new capacitance is
  • A
    2 μF
  • B
    15.5 μF
  • 26.6 μF
  • D
    32 μF
Answer
Correct option: C.
26.6 μF
26.6 μF
View full question & answer
MCQ 2631 Mark
When we touch the terminals of a high voltage capacitor, even after a high voltage has been cut off, then the capacitor has a tendency to
  • A
    Restore energy
  • B
    Discharge energy
  • C
    Affect dangerously
  • Both (b) and (c)
Answer
Correct option: D.
Both (b) and (c)
Both (b) and (c)
View full question & answer
MCQ 2641 Mark
The capacity of a parallel plate condenser is 15μF, when the distance between its plates is 6 cm. If the distance between the plates is reduced to 2 cm, then the capacity of this parallel plate condenser will be
  • A
    15 μF
  • B
    30 μF
  • 45 μF
  • D
    60 μF
Answer
Correct option: C.
45 μF
45 μF
View full question & answer
MCQ 2651 Mark
A variable condenser is permanently connected to a 100 V battery. If the capacity is changed from 2μF to 10 μF, then change in energy is equal to
  • A
    $2 \times 10^{-2} \mathrm{~J}$
  • B
    $2.5 \times 10^{-2} \mathrm{~J}$
  • C
    $3.5 \times 10^{-2} \mathrm{~J}$
  • $4 \times 10^{-2} \mathrm{~J}$
Answer
Correct option: D.
$4 \times 10^{-2} \mathrm{~J}$
(d) $4 \times 10^{-2} \mathrm{~J}$
View full question & answer
MCQ 2661 Mark
A 700 pF capacitor is charged by a 50 V battery. The electrostatic energy stored by it is
  • A
    $17.0 \times 10^{-8} \mathrm{~J}$
  • B
    $13.6 \times 10^{-9} \mathrm{~J}$
  • C
    $9.5 \times 10^{-9} \mathrm{~J}$
  • $8.7 \times 10^{-7} \mathrm{~J}$
Answer
Correct option: D.
$8.7 \times 10^{-7} \mathrm{~J}$
(d) $8.7 \times 10^{-7} \mathrm{~J}$
View full question & answer
MCQ 2671 Mark
Sixty-four drops are jointed together to form a bigger drop. If each small drop has a capacitance C, a potential V, and a charge q, then the capacitance of the bigger drop will be
  • A
    C
  • 4C
  • C
    16C
  • D
    64C
Answer
Correct option: B.
4C
4C
View full question & answer
MCQ 2681 Mark
A parallel plate capacitor has a plate separation of 0.01 mm and use a dielectric (whose dielectric strength is 19 KV/mm) as an insulator. The maximum potential difference that can be applied to the terminals of the capacitor is
  • 190 V
  • B
    290 V
  • C
    95 V
  • D
    350 V
Answer
Correct option: A.
190 V
190 V
View full question & answer
MCQ 2691 Mark
When a dielectric material is introduced between the plates of a charged condenser then electric field between the plates
  • Decreases
  • B
    Increases
  • C
    Remain constant
  • D
    First (b) then (a)
Answer
Correct option: A.
Decreases
Decreases
View full question & answer
MCQ 2701 Mark
If a slab of insulating material $4 \times 10^{-3} m$ thick is introduced between the plates of a parallel plate capacitor, the separation between plates has to be increased by $3.5 \times 10^{-3} m$ to restore the capacity to original value. The dielectric constant of the material will be
  • A
    6
  • 8
  • C
    10
  • D
    12
Answer
Correct option: B.
8
(b) 8
View full question & answer
MCQ 2711 Mark
Two protons A and B are placed in space between plates of a parallel plate capacitor charged upto V volts (See fig.) Forces on protons are $F_A$ and $F_B$, then
  • A
    $F_A>F_B$
  • B
    $F_A<F_B$
  • $F_A=F_B$ 
  • D
    Nothing can be said
Answer
Correct option: C.
$F_A=F_B$ 
(c) $F_A=F_B$ 
View full question & answer
MCQ 2721 Mark
The plates of a parallel plate capacitor of capacity 50 μC are charged to a potential of 100 volts and then separated from each other so that the distance between them is doubled. How much is the energy spent in doing so
  • $25 \times 10^{-2}J$
  • B
    $-12.5 \times 10^{-2}J$
  • C
    $-25 \times 10^{-2}J$
  • D
    $12.5 \times 10^{-2}J$
Answer
Correct option: A.
$25 \times 10^{-2}J$
(a) $25 \times 10^{-2}J$
View full question & answer
MCQ 2731 Mark
The ratio of charge to potential of a body is known as
  • Capacitance
  • B
    Conductance
  • C
    Inductance
  • D
    Resistance
Answer
Correct option: A.
Capacitance
Capacitance
View full question & answer
MCQ 2741 Mark
125 identical drops each charged to the same potential of 50 volts are combined to form a single drop. The potential of the new drop will be
  • A
    50 V
  • B
    250 V
  • C
    500 V
  • 1250 V
Answer
Correct option: D.
1250 V
1250 V
View full question & answer
MCQ 2751 Mark
A charge of $10^{-9}C$ is placed on each of the 64 identical drops of radius 2cm. They are then combined to form a bigger drop. Find its potential 
  • $7.2 \times 10^3V$
  • B
    $7.2 \times 10^2V$
  • C
    $1.44 \times 10^2V$
  • D
    $1.44 \times 10^3V$
Answer
Correct option: A.
$7.2 \times 10^3V$
(a) $7.2 \times 10^3V$
View full question & answer
MCQ 2761 Mark
A capacitor when filled with a dielectric K = 3 has charge $\mathrm{Q}_{0}$, voltage $\mathrm{V}_{0}$ and field $\mathrm{E}_{0}$. If the dielectric is replaced with another one having K = 9 the new values of charge, voltage and field will be respectively
  • A
    $3 \mathrm{Q}_0, 3 \mathrm{~V}_0, 3 \mathrm{E}_0$
  • B
    $\mathrm{Q}_0, 3 \mathrm{~V}_0, 3 \mathrm{E}_0$
  • C
    $\mathrm{Q}_0, \frac{\mathrm{V}_0}{3}, 3 \mathrm{E}_0$
  • $\mathrm{Q}_0, \frac{\mathrm{V}_0}{3}, \frac{\mathrm{E}_0}{3}$
Answer
Correct option: D.
$\mathrm{Q}_0, \frac{\mathrm{V}_0}{3}, \frac{\mathrm{E}_0}{3}$
$\mathrm{Q}_0, \frac{\mathrm{V}_0}{3}, \frac{\mathrm{E}_0}{3}$
View full question & answer
MCQ 2771 Mark
In a spherical condenser radius of the outer sphere is R. The different in the radii of outer and inner sphere in x. Its capacity is proportional to
  • A
    $\frac{x R}{(R-x)}$
  • B
    $\frac{x(R-x)}{r}$
  • $\frac{R(R-x]}{x}$
  • D
    $\frac{R}{x}$
Answer
Correct option: C.
$\frac{R(R-x]}{x}$
(c) $\frac{R(R-x]}{x}$
View full question & answer
MCQ 2781 Mark
The capacity of a condenser in which a dielectric of dielectric constant 5 has been used, is C. If the dielectric is replaced by another with dielectric constant 20, the capacity will become
  • A
    $\frac{C}{4}$
  • 4C
  • C
    $\frac{C}{2}$
  • D
    2C
Answer
Correct option: B.
4C
(b) 4C
View full question & answer
MCQ 2791 Mark
The radius of a metallic sphere if its capacitance is 1/9 F, is
  • A
    $10^6 m$
  • B
    $10^7m$
  • $10^9 m$
  • D
    $10^8 m$ 
Answer
Correct option: C.
$10^9 m$
(c) $10^9 m$
View full question & answer
MCQ 2801 Mark
A condenser having a capacity 2.0 micro farad is charged to 200 volts and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be
  • A
    $4 \times 10^4m$
  • B
    $4 \times 10^{10}m$
  • $4 \times 10^{-2}m$
  • D
    $2 \times 10^{-2}m$
Answer
Correct option: C.
$4 \times 10^{-2}m$
(c) $4 \times 10^{-2}m$
View full question & answer
MCQ 2811 Mark
Two identical charged spherical drops each of capacitance C merge to form a single drop. The resultant capacitance is
  • A
    Equal to 2C
  • B
    Greater than 2C
  • Less than 2C but greater than C
  • D
    Less than C
Answer
Correct option: C.
Less than 2C but greater than C
Less than 2C but greater than C
View full question & answer
MCQ 2821 Mark
The capacitance of an air filled parallel plate capacitor is 10μμF . The separation between the plates is doubled and the space between the plates is then filled with wax giving the capacitance a new value of $40 \times 10^{-12}$ $farads$. The dielectric constant of wax is
  • A
    12.0
  • B
    10.0
  • 8.0
  • D
    4.2
Answer
Correct option: C.
8.0
(c) 8.0
View full question & answer
MCQ 2831 Mark
The energy stored in the condenser is
  • A
    $QV$
  • $\frac{1}{2} Q V$
  • C
    $\frac{1}{2} C$
  • D
    $\frac{1}{2} \frac{Q}{C}$
Answer
Correct option: B.
$\frac{1}{2} Q V$
(b) $\frac{1}{2} Q V$
View full question & answer
MCQ 2841 Mark
The capacity of a parallel plate condenser is 10μF without dielectric. Dielectric of constant 2 is used to fill half the distance between the plates, the new capacitance in μF is
  • A
    10
  • B
    20
  • C
    15
  • 13.33
Answer
Correct option: D.
13.33
13.33
View full question & answer
MCQ 2851 Mark
A parallel plate capacitor has circular plates of 0.08m radius and $1.0 \times10^{-3}m$ separation. If a P.D. of 100 volt is applied, the charge will be
  • A
    $1.8 \times10^{-10}C$
  • $1.8 \times10^{-8}C$
  • C
    $1.8 \times10^{-20}C$
  • D
    None of these
Answer
Correct option: B.
$1.8 \times10^{-8}C$
(b) $1.8 \times10^{-8}C$
View full question & answer
MCQ 2861 Mark
What is the area of the plates of a 3F parallel plate capacitor, if the separation between the plates is 5mm
  • $1.694 \times 10^9 \mathrm{~m}^2$
  • B
    $4.529 \times 10^9 \mathrm{~m}^2$
  • C
    $9.281 \times 10^9 \mathrm{~m}^2$
  • D
    $12.981 \times 10^9 \mathrm{~m}^2$
Answer
Correct option: A.
$1.694 \times 10^9 \mathrm{~m}^2$
(a) $1.694 \times 10^9 \mathrm{~m}^2$
View full question & answer
MCQ 2871 Mark
A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitor becomes
  • A
    $\sqrt{2}{C}$
  • B
    2C
  • C
    $\frac{C}{\sqrt{2}}$
  • $\frac{C}{2}$
Answer
Correct option: D.
$\frac{C}{2}$
(d) $\frac{C}{2}$
View full question & answer
MCQ 2881 Mark
Two metal spheres of capacitance $C_1$ and $C_2$ carry some charges. They are put in contact and then separated. The final charges $Q_1$ and $Q_2$ on them will satisfy
  • A
    $\frac{Q_1}{Q_2}<\frac{C_1}{C_2}$
  • $\frac{Q_1}{Q_2}=\frac{C_1}{C_2}$
  • C
    $\frac{Q_1}{Q_2}>\frac{C_1}{C_2}$
  • D
    $\frac{Q_1}{Q_2}<\frac{C_2}{C_1}$
Answer
Correct option: B.
$\frac{Q_1}{Q_2}=\frac{C_1}{C_2}$
$\frac{Q_1}{Q_2}=\frac{C_1}{C_2}$
View full question & answer
MCQ 2891 Mark
The force between the plates of a parallel plate capacitor of capacitance C and distance of separation of the plates d with a potential difference V between the plates, is
  • $\frac{\mathrm{CV}^2}{2 \mathrm{~d}}$
  • B
    $\frac{\mathrm{C}^2 \mathrm{~V}^2}{2 \mathrm{~d}^2}$
  • C
    $\frac{C^2 V^2}{d^2}$
  • D
    $\frac{\mathrm{v}^2 \mathrm{~d}}{\mathrm{c}}$
Answer
Correct option: A.
$\frac{\mathrm{CV}^2}{2 \mathrm{~d}}$
(a) $\frac{C V^2}{2 \mathrm{~d}}$
View full question & answer
MCQ 2901 Mark
A 2μF capacitor is charged to 100 volt and then its plates are connected by a conducting wire. The heat produced is
  • A
    1 J
  • B
    0.1 J
  • 0.01 J
  • D
    0.001 J
Answer
Correct option: C.
0.01 J
0.01 J
View full question & answer
MCQ 2911 Mark
A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is
  • Charge Q
  • B
    Potential V
  • C
    Capacity C
  • D
    Energy U
Answer
Correct option: A.
Charge Q
Charge Q
View full question & answer
MCQ 2921 Mark
An air capacitor of capacity C = 10μF is connected to a constant voltage battery of 12 V. Now the space between the plates is filled with a liquid of dielectric constant 5. The charge that flows now from battery to the capacitor is
  • A
    120 μC
  • B
    699 μC
  • 480 μC
  • D
    24 μC
Answer
Correct option: C.
480 μC
480 μC
View full question & answer
MCQ 2931 Mark
The area of the plates of a parallel plate condenser is A and the distance between the plates is 10 mm. There are two dielectric sheets in it, one of dielectric constant 10 and thickness 6mm and the other of dielectric constant 5 and thickness 4mm. The capacity of the condenser is 
  • A
    $\frac{12}{35} \varepsilon_0 \mathrm{~A}$
  • B
    $\frac{2}{3} \varepsilon_0 \mathrm{~A}$
  • $\frac{5000}{7}$
  • D
    $ 1500\varepsilon_0 \mathrm{~A}$
Answer
Correct option: C.
$\frac{5000}{7}$
(c) $\frac{5000}{7}$
View full question & answer
MCQ 2941 Mark
Two spherical conductors each of capacity C are charged to potentials V and – V. These are then connected by means of a fine wire. The loss of energy will be
  • A
    Zero
  • B
    $\frac{1}{2}CV^2$
  • $CV^2$ 
  • D
    $2CV^2$
Answer
Correct option: C.
$CV^2$ 
(c) $CV^2$ 
View full question & answer
MCQ 2951 Mark
The capacitance of a parallel plate condenser does not depend on
  • A
    Area of the plates
  • B
    Medium between the plates
  • C
    Distance between the plates
  • Metal of the plates
Answer
Correct option: D.
Metal of the plates
 Metal of the plates
View full question & answer
MCQ 2961 Mark
A parallel plate capacitor of plate area A and plate separation d is charged to potential V and then the battery is disconnected. A slab of dielectric constant k is then inserted between the plates of the capacitors so as to fill the space between the plates. If Q, E and W denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following
  • A
    $Q=\frac{\varepsilon_0 A V}{d}$
  • $\mathrm{W}=\frac{\varepsilon_0 \mathrm{~A} V^2}{2 \mathrm{kd}}$
  • C
    $E=\frac{V}{k d}$
  • D
    $\mathrm{W}=\frac{\varepsilon_0 \mathrm{AV}^2}{2 \mathrm{~d}}\left(1-\frac{1}{\mathrm{k}}\right)$
Answer
Correct option: B.
$\mathrm{W}=\frac{\varepsilon_0 \mathrm{~A} V^2}{2 \mathrm{kd}}$
(b) $\mathrm{W}=\frac{\varepsilon_0 \mathrm{~A} V^2}{2 \mathrm{kd}}$
View full question & answer
MCQ 2971 Mark
The capacitance of a metallic sphere will be 1μF, if its radius is nearly
  • 9 km
  • B
    10 m
  • C
    1.11 m
  • D
    1.11 cm
Answer
Correct option: A.
9 km
9 km
View full question & answer
MCQ 2981 Mark
The intensity of electric field at a point between the plates of a charged capacitor
  • A
    Is directly proportional to the distance between the plates
  • B
    Is inversely proportional to the distance between the plates
  • C
    Is inversely proportional to the square of the distance between the plates
  • Does not depend upon the distance between the plates
Answer
Correct option: D.
Does not depend upon the distance between the plates
Does not depend upon the distance between the plates
View full question & answer
MCQ 2991 Mark
The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in figure, will be (area of plate = A)
  • $\frac{\varepsilon_{0 A}}{\left(\frac{\mathrm{d}_1}{\mathrm{~K}_1}+\frac{\mathrm{d}_2}{\mathrm{~K}_2}+\frac{\mathrm{d}_3}{\mathrm{~K}_{\mathrm{3}}}\right)}$
  • B
    $\frac{\varepsilon_0 A}{\left(\frac{d_1+d_2+d_3}{K_1+K_2+K_3}\right)}$
  • C
    $\frac{\varepsilon_0 A\left(K_1 K_2 K_3\right)}{d_1 d_2 d_3}$
  • D
    $\varepsilon_0\left(\frac{A K_1}{d_1}+\frac{A K_2}{d_2}+\frac{A K_3}{d_3}\right)$
Answer
Correct option: A.
$\frac{\varepsilon_{0 A}}{\left(\frac{\mathrm{d}_1}{\mathrm{~K}_1}+\frac{\mathrm{d}_2}{\mathrm{~K}_2}+\frac{\mathrm{d}_3}{\mathrm{~K}_{\mathrm{3}}}\right)}$
(a) $\frac{\varepsilon_{0 A}}{\left(\frac{\mathrm{d}_1}{\mathrm{~K}_1}+\frac{\mathrm{d}_2}{\mathrm{~K}_2}+\frac{\mathrm{d}_3}{\mathrm{~K}_{\mathrm{3}}}\right)}$
View full question & answer
MCQ 3001 Mark
A spherical condenser has inner and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be
  • A
    Zero
  • B
    $4 \pi_{\varepsilon_0 a}$
  • $4 \pi_{\varepsilon_0 b}$
  • D
    $4 \pi \varepsilon_0 a\left(\frac{b}{b-a}\right)$
Answer
Correct option: C.
$4 \pi_{\varepsilon_0 b}$
(c) $4 \pi_{\varepsilon_0 b}$
View full question & answer