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Physics M.C.Q (1 Marks)

Electrostatic Potential and Capacitance · Gujarat Board (GSEB) STD 12 Science (GSEB - English Medium). 47 questions.

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M.C.Q (1 Marks)

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47 questions · timed · auto-graded

MCQ 11 Mark
A point P is situated on the axis of an electric dipole at a distance x from its mid-point, the electric potential at point P is proportional to:
  • ✓
    $\frac{1}{x^2}$
  • B
    $\frac{1}{x^3}$
  • C
    $\frac{1}{x^4}$
  • D
    $\frac{1}{x^{1 / 2}}$
Answer
Correct option: A.
$\frac{1}{x^2}$
(a)$\frac{1}{x^2}$
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MCQ 21 Mark
The electric potential (V) inside a uniformly charged. spherical shell depends on distance:
  • A
    $V \propto r$
  • ✓
    $V =$ constant
  • C
    $V \propto \frac{1}{r}$
  • D
    $V \propto \frac{1}{r^2}$
Answer
Correct option: B.
$V =$ constant
(b)$V =$ constant
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MCQ 31 Mark
Two capacitors whose capacitances are $C _1$ and $C _2$ If they are given equal charges then the ratio of the energies stored in them will be :
  • ✓
    $\frac{ C _2}{ C _1}$
  • B
    $\frac{C_1}{C_2}$
  • C
    $\sqrt{\frac{C_2}{C_1}}$
  • D
    $\sqrt{\frac{C_1}{C_2}}$
Answer
Correct option: A.
$\frac{ C _2}{ C _1}$
(a)$\frac{ C _2}{ C _1}$
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MCQ 41 Mark
In what order should three capacitors be connected so that the energy stored in them at the same potential is maximum?
  • A
    Two in parallel and one in series
  • ✓
    All three in parallel
  • C
    All three in series
  • D
    Two in series and one in parallel.
Answer
Correct option: B.
All three in parallel
(b)All three in parallel
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MCQ 51 Mark
A hollow copper sphere A and a solid sphere B of equal radius are charged with the same potential. The true statement is:
  • A
    Charge on sphere A will be more
  • B
    Charge on sphere B will be more
  • ✓
    Both will have equal charge
  • D
    Cannot be said with certainty.
Answer
Correct option: C.
Both will have equal charge
(c)Both will have equal charge
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MCQ 61 Mark
Equal charges are located at three corners of an equilateral triangle. The true statement for electric potential V and electric field intensity E at the centre O of the triangle will be:
  • A
    $V =0, E =0$
  • B
    $V =0, E \neq 0$
  • C
    $V =0, E \neq 0$
  • ✓
    $V \neq 0, E =0$
Answer
Correct option: D.
$V \neq 0, E =0$
(d)$V \neq 0, E =0$
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MCQ 71 Mark
Earth's electric potential is considered:
  • A
    positive
  • B
    negative
  • ✓
    zero
  • D
    1000 Volts
Answer
Correct option: C.
zero
(c)zero
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MCQ 81 Mark
Equivalence in the following circuit is:
Image
  • ✓
    $\frac{5}{3} \mu F$
  • B
    $\frac{3}{5} \mu F$
  • C
    $15 \mu F$
  • D
    $\frac{1}{15} \mu F$
Answer
Correct option: A.
$\frac{5}{3} \mu F$
(a)$\frac{5}{3} \mu F$
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MCQ 91 Mark
The uniform field between the plates of a parallel plate capacitor is E volt/meter. If the distance between the plates is $d ( m )$ and the area of each plate is $A \left( m ^2\right)$, then the total energy stored in it is :
  • ✓
    $\frac{1}{2} \in_0 E ^2 A d$
  • B
    $\frac{ E ^2 A d}{\in_0}$
  • C
    $\frac{1}{2} \in_0 E^2$
  • D
    $\in_0 AE d$
Answer
Correct option: A.
$\frac{1}{2} \in_0 E ^2 A d$
(a)$\frac{1}{2} \in_0 E ^2 A d$
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MCQ 101 Mark
A capacitor of capacitance C and the other of capacitance $C / 2$ are connected to a battery of V volt as shown in the figure. The work done in charging both the capacitors fully is :
Image
  • ✓
    $\frac{3}{4} CV ^2$
  • B
    $\frac{1}{2} CV ^2$
  • C
    $\frac{1}{4} CV ^2$
  • D
    $2 CV ^-2$
Answer
Correct option: A.
$\frac{3}{4} CV ^2$
(a)$\frac{3}{4} CV ^2$
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MCQ 111 Mark
Several capacitors marked $(8 \mu F-250 V)$ have been given. The minimum number of capacitors required to obtain an equivalence of ( $16 \mu F-1000 V$ ) from them will be:
  • A
    4
  • B
    16
  • ✓
    32
  • D
    64
Answer
Correct option: C.
32
(c)32
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MCQ 121 Mark
To reduce the value of capacitance of a parallel plate capacitor, the empty space between the plates:
  • A
    is filled with dielectric material
  • B
    by reducing, the area of the plates is increased
  • ✓
    by increasing, the area of the plates is reduced
  • D
    also increases and also increases the area
Answer
Correct option: C.
by increasing, the area of the plates is reduced
(c)by increasing, the area of the plates is reduced
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MCQ 131 Mark
If both the plates of a charged capacitor are connected with a wire then:
  • A
    The potential will become infinite
  • B
    The charge will become infinite
  • ✓
    The capacitor will get discharged
  • D
    The charge will become double of the full value
Answer
Correct option: C.
The capacitor will get discharged
(c)The capacitor will get discharged
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MCQ 141 Mark
A parallel combination of two capacitors of capacitance $C_1$ and $C_2$ is given a charge $Q$. If there is $Q_1$ charge on $C_1$ and $Q_2$ charge on $C_2$, the ratio of $\frac{Q_1}{Q_2}$ will be:
  • A
    $\frac{C_2}{C_1}$
  • ✓
    $\frac{C_1}{C_2}$
  • C
    $\frac{C_1 C_2}{1}$
  • D
    $\frac{1}{C_1 C_2}$
Answer
Correct option: B.
$\frac{C_1}{C_2}$
(b)$\frac{C_1}{C_2}$
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MCQ 151 Mark
The energy stored in a charged capacitor is:
  • A
    on a positively charged plate
  • B
    on both positive and negative charged plates
  • ✓
    in the middle region of the plates
  • D
    at the edge of the capacitor
Answer
Correct option: C.
in the middle region of the plates
(c)in the middle region of the plates
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MCQ 161 Mark
The energies stored in two capacitors of capacitances $C _1$ and $C _2$, are equal. The ratio of potential difference across capacitors will be :
  • A
    $C _2: C _1$
  • ✓
    $\sqrt{C_2}: \sqrt{C_1}$
  • C
    $C_1: C_2$
  • D
    $\sqrt{C_1}: \sqrt{C_2}$
Answer
Correct option: B.
$\sqrt{C_2}: \sqrt{C_1}$
(b)$\sqrt{C_2}: \sqrt{C_1}$
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MCQ 171 Mark
A capacitor of capacitance 5 micro farads is charged to 1000 volts. The energy stored on the capacitor will be (in joules):
  • A
    $2.5 \times 10^{-3}$
  • B
    $5.5 \times 10^{-3}$
  • ✓
    2.5
  • D
    $5.0 \times 10^8$
Answer
Correct option: C.
2.5
(c)2.5
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MCQ 181 Mark
In the attached figure, the value of equivalence between points A and B will be:
Image
  • ✓
    $6 \mu F$
  • B
    $4 \mu F$
  • C
    $\frac{6}{11} \mu F$
  • D
    $\frac{11}{5} \mu F$
Answer
Correct option: A.
$6 \mu F$
(a)$6 \mu F$
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MCQ 191 Mark
On giving $40 \mu C$ charge to a parallel plate capacitor of $10 \mu F$ capacitance, the value of its total energy in joules will be :
  • ✓
    $8 \times 10^{-5}$
  • B
    800
  • C
    8
  • D
    $2 \times 10^{-3}$
Answer
Correct option: A.
$8 \times 10^{-5}$
(a)$8 \times 10^{-5}$
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MCQ 201 Mark
In what form is energy present in the capacitor?
  • A
    In the form of charge
  • B
    In the form of capacitance
  • ✓
    In the form of electric field
  • D
    In the form of thermal energy
Answer
Correct option: C.
In the form of electric field
(c)In the form of electric field
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MCQ 211 Mark
How can we combine three capacitors of $2 \mu F$ each to get $3 \mu F$ capacitance?
  • A
    All three in parallel order
  • B
    All three in series
  • ✓
    Two capacitors in series and the third capacitor in parallel
  • D
    Two capacitors in parallel and the third capacitor in series
Answer
Correct option: C.
Two capacitors in series and the third capacitor in parallel
(c)Two capacitors in series and the third capacitor in parallel
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MCQ 221 Mark
Three capacitors whose capacitances are 2,4 and $\chi_\mu F$ respectively. They are combine first in series and then in parallel. In both the cases the ratio of their equivalents will be :
  • A
    49:4
  • ✓
    4:49
  • C
    3:7
  • D
    None of these
Answer
Correct option: B.
4:49
(b)4:49
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MCQ 231 Mark
The capacitance of each capacitor is $x$ in the given figure. Equivalence between points A and B will Image
  • A
    $3 x$
  • B
    $\frac{x}{3}$
  • ✓
    $\frac{2}{3} x$
  • D
    $\frac{3}{2} x$
Answer
Correct option: C.
$\frac{2}{3} x$
(c)$\frac{2}{3} x$
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MCQ 241 Mark
27 small drops of water with equal radius and equal charge comprised to form one big drop. The ratio of capacitance of a big drop and capacitance of a small drop will be:
  • A
    2:1
  • ✓
    3:1
  • C
    4:1
  • D
    16:1
Answer
Correct option: B.
3:1
(b)3:1
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MCQ 251 Mark
Electrical energy $U _0$ is stored in a charged parallel plate capacitor. On increasing the distance between the plates of a capacitor, double to initial distance the electrical energy will be :
  • A
    $U _0$
  • B
    $\frac{U_0}{2}$
  • ✓
    $2 U _0$
  • D
    $\frac{ U _6}{4}$
Answer
Correct option: C.
$2 U _0$
(c)$2 U _0$
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MCQ 261 Mark
By connecting three $24 \mu F$ capacitors in parallel, the equivalence will be
  • A
    $2 \mu F$
  • ✓
    $6 \mu F$
  • C
    $\frac{1}{3} \mu F$
  • D
    $\frac{2}{3} \mu F$
Answer
Correct option: B.
$6 \mu F$
(b)$6 \mu F$
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MCQ 271 Mark
The capacitance of an air capacitor is $5 \mu F$. If mica is completely used in place of air in the same capacitor, then the capacitance becomes $30 \mu F$, the dielectric constant of mica will be:
  • A
    3
  • ✓
    6
  • C
    12
  • D
    24
Answer
Correct option: B.
6
(b)6
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MCQ 281 Mark
The capacitance of a capacitor is C. It is charged at a potential difference V. If now it is related to resistance, the amount of energy dilapidation will be:
  • ✓
    $\frac{1}{2} CV ^2$
  • B
    $CV ^2$
  • C
    $\frac{C V^2}{3}$
  • D
    $\frac{1}{2} QV ^2$
Answer
Correct option: A.
$\frac{1}{2} CV ^2$
(a)$\frac{1}{2} CV ^2$
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MCQ 291 Mark
How many capacitors having at least 2 µF capacitance will give 5 µF capacitance?
  • A
    Three
  • ✓
    Four
  • C
    Five
  • D
    Seven
Answer
Correct option: B.
Four
(b)Four
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MCQ 301 Mark
A big drop is formed by mixing 64 small drops. If each small drop has charge Q, then the charge on the big drop will be
  • ✓
    64 Q
  • B
    8 Q
  • C
    4 Q
  • D
    2 Q
Answer
Correct option: A.
64 Q
(a)64 Q
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MCQ 311 Mark
Two identical charges q are placed at a distance d from each other. The potential at a point situated at a distance between them will be:
  • A
    Zero
  • B
    $\frac{k q^2}{d}$
  • ✓
    $4 \frac{k q}{d}$
  • D
    $\frac{k q}{d^2}$
Answer
Correct option: C.
$4 \frac{k q}{d}$
(c)$4 \frac{k q}{d}$
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MCQ 321 Mark
Adielectric medium $e_r$ is filled in half of the space between the plates of a parallel plate capacitor. If the capacitance of the part filled with air is C then the capacitance of the entire capacitor system will be :
  • A
    $\frac{2 \in_r C }{1+\in_r}$
  • B
    $\frac{ C \left( e _r+1\right)}{2}$
  • ✓
    $\frac{ C \in_r}{1+\in_r}$
  • D
    $\in_r$
Answer
Correct option: C.
$\frac{ C \in_r}{1+\in_r}$
(c)$\frac{ C \in_r}{1+\in_r}$
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MCQ 331 Mark
A parallel plate capacitor is charged from a battery and the battery is removed. Now if the distance between the plates of the capacitor is increased, then in the capacitor:
  • A
    Charge on the capacitor increases and capacitance decreases
  • ✓
    Potential difference increases and capacitance decreases
  • C
    Capacitance increases
  • D
    The value of stored energy decreases
Answer
Correct option: B.
Potential difference increases and capacitance decreases
(b)Potential difference increases and capacitance decreases
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MCQ 341 Mark
The relationship between potential difference V, charge Q and capacitance C is:
  • A
    $V=C Q$
  • B
    $C=V Q$
  • ✓
    $V=\frac{Q}{C}$
  • D
    $Q =\frac{ V }{ C }$
Answer
Correct option: C.
$V=\frac{Q}{C}$
(c)$V=\frac{Q}{C}$
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MCQ 351 Mark
The charge density of a cone shaped object will be maximum:
  • A
    on the wide surface below
  • ✓
    at the top
  • C
    on the entire surface
  • D
    only on the top surface
Answer
Correct option: B.
at the top
(b)at the top
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MCQ 361 Mark
The electric potential at the centre of a charged spherical conductor in comparison with the potential at the surface of the conductor:
  • A
    will be less
  • B
    will be more
  • ✓
    will be the same
  • D
    will be zero
Answer
Correct option: C.
will be the same
(c)will be the same
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MCQ 371 Mark
Equipotential surface is:
  • A
    Whose potential is zero
  • ✓
    Which has the same potential at all points.
  • C
    On which negative potential exists.
  • D
    On which positive potential exists.
Answer
Correct option: B.
Which has the same potential at all points.
(b)Which has the same potential at all points.
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MCQ 381 Mark
Charge $q$ is distributed on two spheres of radii $r_1$ and $r_2$ in such a way that they have the same surface density. Ratio in their potential :
  • ✓
    $\frac{r_1}{r_2}$
  • B
    $\frac{r_1^2}{r_2^2}$
  • C
    $r_1^3$
  • D
    None of these
Answer
Correct option: A.
$\frac{r_1}{r_2}$
(a)$\frac{r_1}{r_2}$
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MCQ 391 Mark
The dielectric strength of a medium is $2 kV mm ^{-1}$ What is the maximum potential difference that can be established across a $50 \mu m$ sample without binding?
  • A
    10000 V
  • B
    1000 V
  • ✓
    100 V
  • D
    10 V
Answer
Correct option: C.
100 V
(c)100 V
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MCQ 401 Mark
The electric potential at the centre of a charged solid sphere of metal is:
  • A
    zero
  • B
    half of the potential on the surface of the solid sphere
  • ✓
    equal to the potential on the surface of the solid sphere
  • D
    twice the potential on the surface of the solid sphere
Answer
Correct option: C.
equal to the potential on the surface of the solid sphere
(c)equal to the potential on the surface of the solid sphere
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MCQ 411 Mark
When a test charge is brought from infinity to near the dipole along the neutral line of an electric dipole, then the work done will be:
  • A
    Positive
  • B
    Negative
  • ✓
    Zero
  • D
    Infinite
Answer
Correct option: C.
Zero
(c)Zero
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MCQ 421 Mark
If a positive charge is taken from a region of lower potential to a region of higher potential, then the electrical potential energy:
  • A
    decreases
  • ✓
    increases
  • C
    remains stable
  • D
    can either decrease or increase.
Answer
Correct option: B.
increases
(b)increases
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MCQ 431 Mark
If 64 charged drops of water are mixed to form one big drop, then how many times the value of potential on the big drop will be from the full value?
  • A
    4 times
  • ✓
    16 times
  • C
    64 times
  • D
    8 times
Answer
Correct option: B.
16 times
(b)16 times
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MCQ 441 Mark
Flux passing through an equipotential surface is always:
  • ✓
    perpendicular to the page.
  • B
    parallel to the surface
  • C
    zero
  • D
    at an angle of 45° to the surface
Answer
Correct option: A.
perpendicular to the page.
(a)perpendicular to the page.
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MCQ 451 Mark
When the distance between two charges is increased, the potential energy of the charges:
  • A
    increases
  • B
    decreases
  • C
    remains constant
  • ✓
    may increase or decrease
Answer
Correct option: D.
may increase or decrease
(d)may increase or decrease
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MCQ 461 Mark
The distance between two points is 30 cm . If $20 \mu C$ charge is kept at point A and $-10 \mu C$ charge is kept at point B, then at which point between A and B the potential will be zero :
  • ✓
    20 cm away from A
  • B
    20 cm away from B
  • C
    at A
  • D
    at B
Answer
Correct option: A.
20 cm away from A
(a)20 cm away from A
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MCQ 471 Mark
The intensity of an electric field with E= 0 will change with distance:
  • A
    $V \propto r$
  • B
    $V \propto \frac{1}{r}$
  • C
    $V \propto \frac{1}{r^2}$
  • ✓
    V= constant
Answer
Correct option: D.
V= constant
(d)V= constant
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