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251.

A `24` volt battery is connected to the arrangement of resistances shown in (Fig.) Calculate (i) the total effective resistance of the circuit, (ii) the total current flowing in the circuit. .

Answer» (i) If `R_1` is the equivalent resistance of `5 Omega and 20 Omega` which are in series,
`R_1 = 5 Omega + 20 Omega = 25 Omega`
Further, if `R_2` is the equivalent resistance of `15 Omega and 10 Omega` which are in series,
`R_2 = 15 Omega + 10 Omega = 25 Omega`
Since `R_1 and R_2` are in parallel, their effective resistance is given by
`R_p = (R_1 R_2)/(R_1 + R_2) = (25 xx 25)/(25 + 25) Omega = (625)/(50) Omega = 12.5 Omega`
(ii) Total pd across the arrangement of all the resistances, i.e., `V = 24 V`
Total current in the circuit, `I = (V)/(R_p) = (24 V)/(12.5 Omega) = 1.92 A`.
252.

The process of electrolysis is used in _______ .A. gold coveringB. metallurgyC. electric printingD. All the above

Answer» Correct Answer - D
253.

What is meant by saying that the electric potential at a point is 1 volt ?

Answer»

Solution : 

Electric potential at a point is 1 volt means 1 joule of work is done in moving 1 unit positive charge from infinity to that point.

254.

Volt is the unit of __________.A. emfB. currentC. resistanceD. charge

Answer» Correct Answer - A
255.

Name and define S.I. unit of resistance. Calculate the resistance of a resistor if the current flowing through it is 200 mA, when the applied potential difference is 0.8 V.

Answer»

The SI unit of resistance is ohm.
One ohm is the resistance offered by a conductor when the current passing through it is one amPere and the potential difference across its ends is one volt.
By Ohm's law, V = IR
R = V/I = 0.8 V/ 0.2 A =4 ohm

256.

What is meant by the statement: The potential difference between two points is 1 volt ?

Answer»

Potential difference of 1 volt means the amount of work done when a unit charge moves from one point to the other point in an electric field.

257.

The voltage applied to a given rheostat is made four times its initial value. By what factor will be resistance of the rheostat change?

Answer»

The resistance of the rheostat will not change at all as it does not depend on the voltage applied across it. 

258.

Why is the metal covering of an electrical appliance earthed?

Answer»

EARTHING OF THE APPLIANCE : To protect from the electric shock electric appliance is earthed. Sometimes due to break of insulation of wires, live wire comes in contact with the body of the appliance and we get a fatal shock when the appliance is touched. If the appliance is earthed, the current will pass to the earth and we remain protected from the electric shock.

259.

A charge Q is placed at the mouth of a conical flask. The flux of the electric field through the flask is (a) zero (b) Q/ε0(c) Q/2ε0(d) < Q/2ε0

Answer»

Correct Answer is: (c) Q/2ε0

260.

Two conducting, concentric, hollow spheres A and B have radii a and b respectively, with A inside B. Their common potential is V. A is now given some charge such that its potential becomes zero. The potential of B will now be(a) 0 (b) V(1 - a/b) (c) Va/b (d) V(b - a)/(b + a)

Answer»

Correct Answer is: (b) V (1 - a/b)

Let initial charge on B be Q. Then, V = kQ/b. There is no initial charge on A, as A and B are at the same potential. Let q charge be now given to A. Potential of A now is

k q/a + k Q/b = 0 or q = - Qa/b.

Potential of B now is

k(Q + q/b) = k/b [Q - Qa/b] = k Q/b (1 - a/b) = V (1 - a/b)

261.

A positive point charge, which is free to move, is placed inside a hollow conducting sphere with negative charge, away from its centre. It will (a) move towards the centre(b) move towards the nearer wall of the conductor (c) remain stationary (d) oscillate between the centre and the nearer wall

Answer»

Correct Answer is: (c) remain stationary

The field inside a conductor is zero. Hence, the point charge experiences no force. 

262.

A strip of copper and another of silicon are cooled from room temperature to 32 K. Which of the following is true regarding this? (A) Resistance of copper strip decreases because it has positive temperature coefficient of resistance. (B) Resistance of copper strip increases because it has negative temperature coefficient of resistance. (C) Resistance of silicon strip decreases because it has negative temperature coefficient of resistance. (D) Resistance of silicon strip increases because it has positive temperature coefficient of resistance.

Answer»

(A) Resistance of copper strip decreases because it has positive temperature coefficient of resistance. 

263.

Find the value of current I in the circuit given below:

Answer»

Resistors across AC and DE are in parallel i.e. RAC and RDE are in parallel.

So

\(\frac1{R'_p}=\frac1{R_{AC}}+\frac1{R_{DE}}\)

⇒ \(\frac1{R'_p}=\frac1{30}+\frac1{30}\)

⇒ \(\frac1{R'_p}=\frac{1+1}{30}+\frac2{30}\)

⇒ R'p\(\frac{30}2\) = 15Ω

Now R’p and RBC are I series. 

R’s = R’p + RBC 

⇒ R’s = 15 + 15 = 30Ω. 

Again, RAB and R’s are in parallel.

\(\frac{1}{R^"_p}=\frac{1}{R_{AB}}+\frac{1}{R'_s}\)

\(\frac{1}{R^"_p}=\frac{1}{15}+\frac{1}{30}\)

⇒ \(\frac{1}{R^"_p}=\frac{1+2}{30}+\frac{3}{30}\)

⇒ R"\(\frac{30}3\) = 10Ω

Equivalent resistance of the above circuit is 10Ω. 

Now, current flowing through the circuit is

l = \(\frac{V}{R} =\frac3{10}=0.3\)

The value of current is 0.3A

264.

Shushant was doing an experiment by using an ammeter. Unfortunately, it fell from his hand and broke. Fearing the scolding of teacher, his group mates advised him not to tell the teacher, but he told her. On listening to him patiently, the teacher did not scold him as it was just and accident and used the opportunity to show the whole class the internal structure of ammeter. What are the values displayed by Shushant?

Answer»

Shushant told his teacher that ammeter was broke by him he did not hide from his teacher this shows that Shushant is very honest and respectful towards his teacher. Also, in spite of his group mates telling him not to tell to the teacher he developed enough courage to tell everything to his teacher this show that he is courageous and confident student who accept his mistake.

265.

S1 and S2 are two equipotential surfaces on which the potentials are not equal. (a) S1 and S2 cannot intersect. (b) S1 and S2 cannot both be plane surfaces. (c) In the region between S1 and S2, the field is maximum where they are closest to each other. (d) A line of force from S1 to S2 must be perpendicular to both.

Answer»

Correct Answer is: (a, c, & d)

266.

State the order of resistivity of (i) a metal, (ii) a semi-conductor, and (iii) an insulator.

Answer»

(i) 10-8 ohm × m (ii) 10-3 ohm × m (iii) 1010 ohm × m.

267.

Which will have a higher resistivity : a conductor or an insulator ?

Answer» An insulator has higher resistivity than that of a conductor.
268.

How much energy is given to each coulomb of charge passing through a `6 V` battery ?

Answer» The energy given to each coulomb of charge is equal to the amount of work which is done in moving it.
Now we know that,
Potential difference = Work Done/Charge
`therefore` Work done `= "Potential difference"xx"charge"`
Where, Charge = 1 C and Potential difference = 6 V
`therefoer` Work done = `6xx1`
=6 jolue.
269.

Define one coulomb charge.

Answer»

Solution : 

One coulomb of charge is that quantity of charge which exerts a force of 9 × 109 Newton on an equal charge is placed at a distance of 1 m from it.

270.

What is the unit of electric charge ?

Answer»

Solution : 

Coulomb is the unit of electric charge

271.

A spring–block system undergoes vertical oscillation above a large horizontal metal sheet with uniform positive charge. The time period of the oscillation is T. If the block is given a charge Q, its time period of oscillation will be(a) T (b) > T (c) < T (d) > T if Q is positive and < T if Q is negative 

Answer»

Correct  Answer is: (a) T

However, the time period of a spring–block system does not depend on g.

272.

Write true or false for the statementA fuse wire has a high melting point.

Answer»

False A fuse wire has a high melting point.

273.

STATEMENT -1: Excess charge on a conductor resides entirely on the outer surface . STATEMENT -2 : Like charges repel one another .A. always on its outer surface.B. always inside the conductor.C. on its outer surface for high temperature only.D. inside the conductor for high temperature only.

Answer» Correct Answer - A
The charge on a solid conductor residers always on its outer surface.
274.

In the circuit shown, a potential difference of 60 V is applied across AB. The potential difference between the points M and N is (a) 10 V (b) 15 V (c) 20 V (d) 30 V

Answer»

Correct Answer is: (d) 30 V

Let Q amount of charge flow through the MN branch.

V = 60 V = Q/2C + Q/C + Q/2C = 2 Q/C

or Q = 30C/C V = 30 V.

Potential difference between M and N = Q/C = 30C/C V = 30 V.

275.

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) zero (b) 3 V (c) 4 V (d) 6 V

Answer»

Correct Answer is: (c) 4 V 

Charges on the two capacitors are 36 μC and 72 μC. When they are connected in opposition, 

the total charge on the system = (72 - 36) μC = 36 μC.

This is shared between the capacitors so that they acquire the same potential difference. Let this be V.

(3 μF)V + (6 μF)V = 36 μC or V = 4 V.

276.

A parallel-plate air capacitor of capacitance C0 is connected to a cell of emf ℰ and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. (a) The potential difference between the plates decreases K times. (b) The energy stored in the capacitor decreases K times. (c) The change in energy is 1/2 C0ℰ2(K - 1).(d) The change in energy is 1/2 C0ℰ2(1 - 1/K)

Answer»

Correct Answer is: (a, b, & d)

277.

A capacitor is connected to a cell of emf ℰ and some internal resistance. The potential difference across the (a) cell is ℰ(b) cell is < ℰ (c) capacitor is < ℰ (d) capacitor is > ℰ

Answer»

Correct Answer is: (a) cell is 

278.

A parallel-plate capacitor is charged from a cell and then disconnected from the cell. The separation between the plates is now doubled. (a) The potential difference between the plates will become double. (b) The field between the plates will not change. (c) The energy of the capacitor doubles. (d) Some work will have to be done by an external agent on the plates.

Answer»

Correct Answer is: (a, b, c, & d)

279.

In the circuit shown, each capacitor has a capacitance C. The emf of the cell is ℰ. If the switch S is closed, (a) some charge will flow out of the positive terminal of the cell(b) some charge will enter the positive terminal of the cell (c) the amount of charge flowing through the cell will be Cℰ. (d) the amount of charge flowing through the cell will be 4/3 Cℰ. 

Answer»

Correct Answer is: (a, d)

280.

The separation between the plates of a parallel-plate capacitor is made double while it remains connected to a cell. (a) The cell absorbs some energy. (b) The electric field in the region between the plates becomes half. (c) The charge on the capacitor becomes half. (d) Some work has to be done by an external agent on the plates.

Answer»

Correct Answer is: (a, b, c, & d)

281.

In a parallel-plate capacitor of plate area A, plate separation d and charge Q, the force of attraction between the plates is F.(a) F ∝ Q2(b) F ∝ 1/A(c) F ∝ d(d) F ∝ 1/d

Answer»

Correct Answer is: (a) F ∝ Q2, (b) F ∝ 1/A

282.

Arrange the following steps in sequential order to demonstrate the magnetic effect of the elctric cur-rent using magnetic compass. (A) Wind an insulated conducting wire around the magnetic compass such that the axis of the coil is directed along east west direction and con-nect the free ends of the wire to a cell through a switch. (B) Take a magnetic compass. (C ) When current flows through the conducting wire, it behaves as a magnet and deflects the compass needle. (D) When the switch is closed, the magnetic nee-dle in the compass deflects from its initial posi-tion and when the switch is opend, the needle comes back to its initial position.A. BADCB. CBADC. ACBDD. ABCD

Answer» Correct Answer - A
(i) Take a magnetic compass.
(ii)Wind an insulated conducting wire aroundthe magnetic compass such that the axis of the coil is directed along east-west direction and con-nect the free ends of the wire to a cell through a switch.
(iii) When the switch is closed, the magnetic nec-dle in the compass deflects from its initial posit-tion and when the switch is opened, the needle comes back to its initial position.
(iv) When current flows through the conducting wire, it hehaves as a magnet and deflects the compass needle.
283.

To verify Ohm's law a circuit diagram was drawn by a student as shown below. What do K L, M, N stand for ?

Answer» K = Voltmeter, L = Rheostat, M = Ammeter, N= Key
284.

A charged thermocol ball is suspended by means of a nylon thread. When a neutral body is brought nearer to it the thermocol ball is first attracted by it and then flies away from it. Explain by giving the reason.

Answer» What happens when charged body is brought in contact with an uncharged metallic body?
What happens to the electrons present on the surface of an uncharged body when a positively charged body is brought in contact with it ?
285.

Charges Q1 and Q2 are placed inside and outside respectively of an uncharged conducting shell. Their separation is r.(a) The force on Q1 is zero.(b) The force on Q1 is k Q1Q2/r2.(c) The force on Q2 is k Q1Q2/r2.(d) The force on Q2 is zero.

Answer»

Correct Answer is: (a, c)

286.

Why are electric bulbs filled with chemically inactive nitrogen and argon?

Answer»

The electric bulbs are filled with chemically inactive as Nitrogen or Argon. 

As when the current is passed through the bulb, the buld filament made of tungsten glow due to its high resistivity if exposed to air will cause the decomposition of tungsten metal in air which can leds 

Tungsten element to melt thus causing circuit to break. 

Thus for the long life of the bulb the electric bulb is filled with chemically inactive as nitrogen and argon.

287.

Write true or false for the following statements:An electron in a metal is free to move anywhere but cannot leave the metal.

Answer»

True

Due to attraction of the atoms, the free electrons cannot leave the metal.

288.

An electric bulb is rated at 220 V, 100 W. What is its resistance ?

Answer»

V = 220 V, P = 100W 

R=? 

We know that P = V2/R 

Thus 

R = V2/P = 2202/100 = 484 ohm 

289.

Name the commercial unit of electric energy.

Answer» Kilowatt-hour is the commercial unit of electric energy.
290.

What is the commercial unit of electric energy?

Answer»

The commercial unit of electric energy is kilowatt-hour (kWh).

291.

Name the commercial unit of electric energy.

Answer»

Kilowatt-hour is the commercial unit of electric energy.

292.

Given n resistors each of resistance R, how will you combine them to get the (i) maximum; and (ii) minimum effective resistance? What is the ratio of the maximum to minimum resistance?

Answer»

For maximum effective resistance, the resistors must be connected in series combination. If there are n resistors each of resistance R, then the maximum effective resistance = nR.

For minimum effective resistance, the resistors must be connected in parallel combination. So the minimum effective resistance =R/n

Ratio of the maximum to minimum resistance is (nR)/(R/n)=n2:1.

293.

Commercial Unit Of EnergyA. wattB. watt-hourC. kilowatt-hourD. kilo-joule

Answer» Correct Answer - C
294.

An electric kettle for use on a 230V supply is rated at 300 W. for safe working the cable connected to it should be able to carry at least:A. 2AB. 5AC. 10AD. 15A

Answer» Correct Answer - D
295.

There are two electric bulb : (i) marked `60 W, 220 V` and (ii) marked `100W, 220 V` Which one of them has higher resistance ?

Answer» (i) `R_1 = (V^2)/(P_1) = ((220)^2)/(100) Omega = 484 Omega`,
(ii) `R_2 = (V^2)/(P_2) = ((220)^2)/(60) Omega = 806.7 Omega`
Clearly, `R_2` (resistance of 60 W bulb) is higher.
296.

Out of two electric bulbs of 50W - 220V and 100W - 220V. Which one will glow brighter when they are connected (i) in series, and (ii) in parallel?

Answer»

The resistance of the bulb is defined as R =V2/P So the resistance of 50W bulb is double than the resistance of 100W bulb. When they are connected in series the current through both bulbs is same. Hence 50-watt bulb will be brighter because P=I2R. In parallel, the voltage will be same in both bulbs. So, the 100-watt bulb will be brighter because of P=V2/R.

297.

Calculate the power of an electric bulb which consumers 2400 J is a minute

Answer» Given
Energy consumed `(E ) = 2400 J`
Time `(t )= 1` minute `= 60 s`
Power `(P) = ?`
`P = W/t = E/t = (2400 J)/(60 s)`
`= 40 Js^(-1)`
`: P = 40 Js^(-1) = 40 W`.
298.

How much energy does a 100W electric bulb transfer in 1 minute?A. 100JB. 600 JC. 3600 JD. 6000 J

Answer» Correct Answer - D
299.

In one minute a total charge of 108 C flows through a bulb when it is connected to a cell. Find the electric current flowing through the bulb.

Answer» We know that electric current is defined as the rate of flow of charge in a circuit.
It is given that the charge flowing through the bulb in 1 minute (= 60 s) is 180 C.
Therefore, the charge that flows in `1s=(180 C)/(60 S)=3 C s^(-1)=3A`
We may use the formula, `I=(Q)/(t)`, where I is the electric current, Q is the charge that flows in t seconds.
Thus, `I=(180C)/(60S)=3 C s^(-1)=3A`
`:.` The electric current flowing in the bulb = 3A.
300.

A charge of 150 coulomb flows through a wire in one minute. Find the electric current flowing through it.

Answer»

Charge (Q) = 150 coulomb

Time (t) = 1 minute = 60 sec.

Current (I) = ?

I=Q/t

=150/60=2.5 Amp.