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Physics M.C.Q (1 Marks)

Electrostatics · Rajasthan Board (RBSE) STD 12 Science (Rajasthan - English Medium). 678 questions.

Questions · Page 4 of 14

M.C.Q (1 Marks)

MCQ 1511 Mark
Four identical capacitors are connected as shown in diagram. When a battery of $6 V$ is connected between $A$ and $B,$ the charge stored is found to be $1.5\  \ \mu C$. The value of $C_1$ is
  • A
    $2.5 \ \mu F$
  • B
    $15 \ \mu F$
  • C
    $1.5 \ \mu F$
  • ✓
    $0.1 \ \mu F$
Answer
Correct option: D.
$0.1 \ \mu F$
$0.1 \ \mu F$
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MCQ 1521 Mark
A capacitor of capacity $C_1$ is charged upto $V$ volt and then connected to an uncharged capacitor of capacity $C_2$. Then final potential difference across each will be
  • A
    $\frac{C_2 V}{C_1+C_2}$
  • B
    $\left(1+\frac{C_2}{C_1}\right) V$
  • ✓
    $\frac{C_1 V}{C_1+C_2}$
  • D
    $\left(1-\frac{C_2}{C_1}\right) V$
Answer
Correct option: C.
$\frac{C_1 V}{C_1+C_2}$
$\frac{C_1 V}{C_1+C_2}$
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Question 1531 Mark
Three capacitors each of capacity 4μF  are to be connected in such a way that the effective capacitance is 6 μF. This can be done by(a) Connecting them in parallel(b) Connecting two in series and one in parallel(c) Connecting two in parallel and one in series(d) Connecting all of them in series
   
   
Answer
(b) Connecting two in series and one in parallel
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MCQ 1541 Mark
In the figure shown, the effective capacitance between the points $A$ and $B,$ if  each has capacitance $C,$ is
  • ✓
    $2C$
  • B
    $\frac{C}{5}$
  • C
    $5C$
  • D
    $\frac{C}{2}$
Answer
Correct option: A.
$2C$
$2C$
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MCQ 1551 Mark
Four equal capacitors, each of capacity $C,$ are arranged as shown. The effective capacitance between $A$ and $B$ is
  • A
    $\frac{5}{8} C$
  • B
    $\frac{3}{5} C$
  • ✓
    $\frac{5}{3} C$
  • D
    $C$
Answer
Correct option: C.
$\frac{5}{3} C$
$\frac{5}{3} C$
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MCQ 1561 Mark
In the circuit as shown in the figure the effective capacitance between $A$ and $B$ is
  • A
    $3\ \mu F$
  • B
    $2\ \mu F$
  • ✓
    $4\ \mu F$
  • D
    $8\ \mu F$
Answer
Correct option: C.
$4\ \mu F$
$4\ \mu F$
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MCQ 1571 Mark
Two capacitors of $1\ mF$ and $2\ mF$ are connected in series, the resultant capacitance will be
  • A
    $4\ \mu F$
  • ✓
    $\frac{2}{3} \mu F$
  • C
    $\frac{3}{2} \mu F$
  • D
    $3\ \mu F$
Answer
Correct option: B.
$\frac{2}{3} \mu F$
$\frac{2}{3} \mu F$
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MCQ 1581 Mark
A capacitor of $10\mu F$ charged up to $250$ volts is connected in parallel with another capacitor of $5\mu F$ charged up to $100$ volts. The common potential is
  • A
    $500\ V$
  • B
    $400\ V$
  • C
    $300\ V$
  • ✓
    $200\ V$
Answer
Correct option: D.
$200\ V$
$200\ V$
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MCQ 1591 Mark
A positively charged ball hangs from a silk thread. We put a positive test charge $q _0$ at a point and measure $F /{q_0}$, then it can be predicted that the electric field strength $E$
  • ✓
    $> F / q _0$
  • B
    $= F / q _0$
  • C
    $< F / q _0$
  • D
    Cannot be estimated
Answer
Correct option: A.
$> F / q _0$
$> F / q _0$
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Question 1601 Mark
Two capacitors of capacitances 3 μF  and 6 μF  are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be (a) 6 volt(b) 4 volt(c) 3 volt (d) Zero
       
Answer
(b) 4 volt
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Question 1611 Mark
Three capacitors of 2μF, 3μF  and 6μF  are joined in series and the combination is charged by means of a 24 volt battery. The potential difference between the plates of the 6 μF  capacitor is(a) 4 volt(b) 6 volt(c) 8 volt (d) 10 volt
       
Answer
(a) 4 volt
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MCQ 1621 Mark
The equivalent capacitance in the circuit between $A$ and $B$ will be
  • A
    $1\ \mu F$
  • B
    $2\ \mu F$
  • ✓
    $3\ \mu F$
  • D
    $\frac{1}{3} \mu F$
Answer
Correct option: C.
$3\ \mu F$
$3\ \mu F$
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MCQ 1631 Mark
A parallel plate capacitor has capacitance $C.$ If it is equally filled with parallel layers of materials of dielectric constants $K_1$ and $K_2$ its capacity becomes $C_1$. The ratio of $C_1$ to $C $ is
  • A
    $K _1+ K _2$
  • B
    $\frac{K_1 K_2}{K_1- K _2}$
  • C
    $\frac{K_1+ K _2}{K_1 K_2}$
  • ✓
    $\frac{2 K_1 K_2}{K_1+ K _2}$
Answer
Correct option: D.
$\frac{2 K_1 K_2}{K_1+ K _2}$
$\frac{2 K_1 K_2}{K_1+ K _2}$
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Question 1641 Mark
A 20F capacitor is charged to 5V and isolated. It is then connected in parallel with an uncharged 30F capacitor. The decrease in the energy of the system will be(a) 25 J(b) 200 J(c) 125 J  (d) 150 J
       
Answer
(d) 150 J
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MCQ 1651 Mark
In the given figure each plate of capacitance $C$ has partial value of charge
  • A
    $CE$
  • B
    $\frac{C E R_1}{R_2-r}$
  • ✓
    $\frac{C E R_2}{R_2+r}$
  • D
    $\frac{C E R_1}{R_1-r}$
Answer
Correct option: C.
$\frac{C E R_2}{R_2+r}$
$\frac{C E R_2}{R_2+r}$
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Question 1661 Mark
Assertion :   Mass of ion is slightly differed from its element.
Reason    : Ion is formed, when some electrons are removed or added so mass changes.(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 1671 Mark
Two capacitors $C _1=2 \mu F$ and $C _2=6 \mu F$ in series, are connected in parallel to a third capacitor $C _3=4 \mu F$. This arrangement is then connected to a battery of $\text{e.m.f.} = 2 V$, as shown in the figure. How much energy is lost by the battery in charging the capacitors
  • A
    $22 \times 10^{-6}$
  • ✓
    $11 \times 10^{-6} J$
  • C
    $\left(\frac{32}{3}\right) \times 10^{-6} J$
  • D
    $\left(\frac{16}{3}\right) \times 10^{-6} J$
Answer
Correct option: B.
$11 \times 10^{-6} J$
$11 \times 10^{-6} J$
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MCQ 1681 Mark
Consider a parallel plate capacitor of $10 \mu F\ ($micro$-$farad$)$ with air filled in the gap between the plates. Now one half of the space between the plates is filled with a dielectric of dielectric constant $4,$ as shown in the figure. The capacity of the capacitor changes to
  • ✓
    $25 \mu F$
  • B
    $20 \mu F$
  • C
    $40 \mu F$
  • D
    $5 \mu F$
Answer
Correct option: A.
$25 \mu F$
$25 \mu F$
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Question 1691 Mark
Three capacitors of capacitance 3 μF , 10 μF and 15 μF  are connected in series to a voltage source of 100V. The charge on 15 μF is(a) 50 μC(b) 100 μC(c) 200 μC(d) 280 μC
       
Answer
(c) 200 μC
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MCQ 1701 Mark
In the figure a capacitor is filled with dielectrics. The resultant capacitance is
  • A
    $\frac{2 \varepsilon_0 A}{ d }\left[\frac{1}{ k _1}+\frac{1}{ k _2}+\frac{1}{ k _2}\right]$
  • B
    $\frac{\varepsilon_0 A}{ d }\left[\frac{1}{ k _1}+\frac{1}{ k _2}+\frac{1}{ k _2}\right]$
  • C
    $\frac{2 \varepsilon_0 A}{ d }\left[ k _1+ k _2+ k _3\right]$
  • ✓
    None of these
Answer
Correct option: D.
None of these
None of these
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Question 1711 Mark
Two capacitors of 10 μF  and 20 μF  are connected in series with a 30V battery. The charge on the capacitors will be, respectively(a) 100 μC, 200 μC(b) 200 μC, 100  μC(c) 100 μC, 100 μC(d) 200 μC, 200 μC
       
Answer
(d) 200 μC, 200 μC
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MCQ 1721 Mark
Equivalent capacitance between $A$ and $B$ is
  • ✓
    $8 \mu C$
  • B
    $6 \mu F$
  • C
    $26 \mu F$
  • D
    $10/3 \mu F$
Answer
Correct option: A.
$8 \mu C$
$8 \mu C$
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MCQ 1731 Mark
The effective capacitance between the points $P$  and  $Q$  of the arrangement shown in the figure is
  • A
    $\frac{1}{2} \mu F$
  • ✓
    $1 \mu F $
  • C
    $2 \mu F$
  • D
    $1.33 \mu F  $
Answer
Correct option: B.
$1 \mu F $
$1 \mu F $
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MCQ 1741 Mark
In the circuit shown here $C_1=6 \mu F, C_2=3 \mu F$ and battery $B=20 V$. The switch $S_1$ is first closed. It is then opened and afterwards $S_2$ is closed. What is the charge finally on $C _2$
  • A
    $120 \mu C$
  • B
    $80 \mu C$
  • ✓
    $40 \mu C$
  • D
    $20 \mu C$
Answer
Correct option: C.
$40 \mu C$
$40 \mu C$
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MCQ 1751 Mark
The equivalent capacitance of three capacitors of capacitance $C_1, C_2$ and $C_3$ are connected in parallel is $12$ units and product $C_1 \cdot C_2 \cdot C_3=48$. When the capacitors $C_1$ and $C_2$ are connected in parallel, the equivalent capacitance is $6$ units. Then the capacitance are
  • A
    $2, 3, 7$
  • B
    $1.5, 2.5, 8$
  • C
    $1, 5, 6$
  • ✓
    $4, 2, 6$
Answer
Correct option: D.
$4, 2, 6$
$4, 2, 6$
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MCQ 1761 Mark
The capacitance between the points $A$ and $B$ in the given circuit will be
  • ✓
    $1 \mu F$
  • B
    $2 \mu F$
  • C
    $3 \mu F$
  • D
    $4 \mu F$
Answer
Correct option: A.
$1 \mu F$
$1 \mu F$
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MCQ 1771 Mark
The equivalent capacitance between $A$ and $B$ is
  • A
    $2 \mu F$
  • B
    $3 \mu F$
  • C
    $5 \mu F$
  • ✓
    $0.5 \mu F$
Answer
Correct option: D.
$0.5 \mu F$
$0.5 \mu F$
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Question 1781 Mark
A capacitor of 20 μF  is charged to 500 volts  and connected in parallel with another capacitor of 10 μF and charged to 200 volts. The common potential is(a) 200 volts(b) 300 volts (c) 400 volts(d) 500 volts
       
Answer
(c) 400 volts
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MCQ 1791 Mark
Three plates $A, B, C$ each of area $50 \ cm^2$ have separation $3\ mm$ between $A$ and $B$ and $3\ mm$ between $B$ and $C$ The energy stored when the plates are fully charged is
  • A
    $1.6 \times 10^{-9} J$
  • ✓
    $2.1 \times 10^{-9} J$
  • C
    $5 \times 10^{-9} J$
  • D
    $7 \times 10^{-9} J$
Answer
Correct option: B.
$2.1 \times 10^{-9} J$
$2.1 \times 10^{-9} J$
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Question 1801 Mark
The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that(a) Their capacities are equal(b) Their capacities are 1 μF and 2 μF(c) Their capacities are 0.5 μF  and 1 μF(d) Their capacities are infinite
   
   
Answer
(a) Their capacities are equal
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MCQ 1811 Mark
A parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$. Another capacitor of capacitance $2C$ is connected to another battery and is charged to potential difference $2V$. The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is
  • A
    Zero
  • B
    $\frac{25 CV ^2}{6}$
  • ✓
    $\frac{3 CV ^2}{2}$
  • D
    $\frac{9 CV ^2}{2}$
Answer
Correct option: C.
$\frac{3 CV ^2}{2}$
$\frac{3 CV ^2}{2}$
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Question 1821 Mark
Ten capacitor are joined in parallel and charged with a battery up to a potential V. They are then disconnected from battery and joined again in series then the potential of this combination will be(a) V (b) 10V(c) 5V   (d) 2V
       
Answer
(b) 10V
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MCQ 1831 Mark
The combination of capacitors with $C_1=3 \mu F, C_2=4 \mu F$ and $C_3=2 \mu F$ is charged by connecting $AB$ to a battery. Consider the following statements
$I.$ Energy stored in $C_1$ = Energy stored in $C_2\ +$ Energy stored in $C_3$
$II.$ Charge on $C_1 =$ Charge on $C_2\ +$ Charge on $C_3$
$III.$ Potential drop across $C_1 =$ Potential drop across $C_2 =$ Potential drop across $C_3$
Which of these is/are correct
  • A
    $I$ and $II$
  • ✓
    $II$ only
  • C
    $I$ and $III$
  • D
    $III$ only
Answer
Correct option: B.
$II$ only
$II$ only
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MCQ 1841 Mark
What is the effective capacitance between points $X$ and  $Y$
  • A
    $24\ \mu F$
  • B
    $18\ \mu F$
  • C
    $12\ \mu F$
  • ✓
    $6\ \mu F$
Answer
Correct option: D.
$6\ \mu F$
$6\ \mu F$
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Question 1851 Mark
A 10 μF capacitor is charged to a potential difference of 50 V and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes 20 volt. The capacitance of second capacitor is(a) 10 μF  (b) 20 μF(c) 30 μF(d) 15 μF
       
Answer
(d) 15 μF
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MCQ 1861 Mark
Two condensers $C _1$ and $C _2$ in a circuit are joined as shown in figure. The potential of point $A$ is $V _1$ and that of B is $V _2$. The potential of point $D$ will be
  • A
    ${\frac{1}{2}\left(V_1+V_2\right)}$
  • B
    $\frac{C_2 V_1+C_1 V_2}{C_1+C_2}$
  • ✓
    $\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$
  • D
    $\frac{C_2 V_1-C_1 V_2}{C_1+C_2}$
Answer
Correct option: C.
$\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$
$\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$
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MCQ 1871 Mark
A $10^{\mu F}$ capacitor and a $20^{\mu F}$ capacitor are connected in series across a $200 V$ supply line. The charged capacitors are then disconnected from the line and reconnected with their positive plates together and negative plates together and no external voltage is applied. What is the potential difference across each capacitor
  • A
    $\frac{400}{9} V$
  • ✓
    $\frac{800}{9} V $
  • C
    $400 V$
  • D
    $200 V$
Answer
Correct option: B.
$\frac{800}{9} V $
$\frac{800}{9} V $
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Question 1881 Mark
Three identical capacitors are combined differently. For the same voltage to each combination, the one that stores the greatest energy is(a) Two in parallel and the third in series with it(b) Three in series(c) Three in parallel(d) Two in series and third in parallel with it
   
   
Answer
(c) Three in parallel
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MCQ 1891 Mark
A potential difference of $300$ volts is applied to a combination of $2.0\ mF$ and $8.0\ mF$ capacitors connected in series. The charge on the $2.0\ mF$ capacitor is
  • A
    $2.4 \times 10^{-4}\ C$
  • ✓
    $4.8\times 10^{-4}\ C$​ 
  • C
    $7.2\times 10^{-4}\ C$​​​​​
  • D
    $9.6\times 10^{-4}\ C$
Answer
Correct option: B.
$4.8\times 10^{-4}\ C$​ 
$4.8\times 10^{-4}\ C$​ 
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MCQ 1901 Mark
A condenser of capacity $C _1$ is charged to a potential $V _0$. The electrostatic energy stored in it is $U _0$. It is connected to another uncharged condenser of capacity $C_2$ in parallel. The energy dissipated in the process is
  • ✓
    $\frac{C_2}{C_1+C_2} U_0$
  • B
    $\frac{C_1}{C_1+C_2} U_0$
  • C
    $\left(\frac{C_1-C_2}{C_1+C_2}\right) U_0$
  • D
    $\frac{ C _1 C _2}{2\left( C _1+ C _2\right)} U _0$
Answer
Correct option: A.
$\frac{C_2}{C_1+C_2} U_0$
$\frac{C_2}{C_1+C_2} U_0$
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MCQ 1911 Mark
The total capacity of the system of capacitors shown in the adjoining figure between the points  $A$ and  $B$ is
  • A
    $1\ \mu F$
  • ✓
    $2\ \mu F$
  • C
    $3\ \mu F$
  • D
    $4\ \mu F$
Answer
Correct option: B.
$2\ \mu F$
$2\ \mu F$
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MCQ 1921 Mark
Four capacitors are connected as shown in the equivalent capacitance between the points $P$ and $Q$ is
  • A
    $4 \mu F$
  • B
    $\frac 14 \mu F$ 
  • C
    $\frac 34 \mu F$
  • ✓
    $\frac 43 \mu F$ 
Answer
Correct option: D.
$\frac 43 \mu F$ 
$\frac 43 \mu F$ 
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Question 1931 Mark
Two identical parallel plate capacitors are connected in series to a battery of 100 V. A dielectric slab of dielectric constant 4.0 is inserted between the plates of second capacitor.  The potential difference across the capacitors will now be respectively(a) 50 V, 50 V(b) 80 V, 20 V(c) 20 V, 80 V(d) 75 V, 25 V
       
Answer
(b) 80 V, 20 V
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MCQ 1941 Mark
A capacitor of capacitance $5\mu F$ is connected as shown in the figure. The internal resistance of the cell is $0.5 \Omega.$ The amount of charge on the capacitor plate is
  • A
    $0\mu C$
  • B
    $5\mu C$
  • ✓
    $10\mu C$
  • D
    $25\mu C$ 
Answer
Correct option: C.
$10\mu C$
$10\mu C$
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MCQ 1951 Mark
Two capacitors of $3\ pF$ and $6\ pF$ are connected in series and a potential difference of $5000 V$ is applied across the combination. They are then disconnected and reconnected in parallel. The potential between the plates is
  • A
    $2250 V$
  • ✓
    $2222 V$
  • C
    $2.25 \times 10^6 V $
  • D
    $1.1 \times 10^6 V  $
Answer
Correct option: B.
$2222 V$
$2222 V$
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Question 1961 Mark
Assertion  :   A charged capacitor is disconnected from a battery. Now if its plate are separated farther, the potential energy will fall.
Reason     : Energy stored in a capacitor is equal to the work done in charging it.(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 1971 Mark
A capacitor $4\ \mu F$ charged to $50 V$ is connected to another capacitor of $2\ \mu F$ charged to $100 V$ with plates of like charges connected together. The total energy before and after connection in multiples of $(10^{-2} J)$ is
  • ✓
    $1.5$ and $1.33$
  • B
    $1.33$ and $1.5$
  • C
    $3.0$ and $2.67$
  • D
    $2.67$ and $3.0$
Answer
Correct option: A.
$1.5$ and $1.33$
$1.5$ and $1.33$
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Question 1981 Mark
0.2 Fcapacitor is charged to 600 V by a battery. On removing the battery, it is connected with another parallel plate condenser of 1F. The potential decreases to(a) 100 volts(b) 120 volts(c) 300 volts(d) 600 volts
       
Answer
(a) 100 volts
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MCQ 1991 Mark
In the following circuit, the resultant capacitance between $A$ and $B$ is $1\ mF$. Then value of $C$ is
  • A
    $\frac{32}{11}\  \mu F$
  • B
    $\frac{11}{32}\  \mu F$
  • C
    $\frac{23}{32} \ \mu F$
  • ✓
    $\frac{32}{23} \ \mu F$
Answer
Correct option: D.
$\frac{32}{23} \ \mu F$
$\frac{32}{23} \ \mu F$
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MCQ 2001 Mark
The resultant capacitance between $A$ and $B$ in the following figure is equal to
  • ✓
    $1\  \mu F$
  • B
    $3 \ \mu F$
  • C
    $2 \ \mu F$
  • D
    $1.5 \ \mu F$
Answer
Correct option: A.
$1\  \mu F$
$1\  \mu F$
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