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1401.

A student has two wires of iron and copper of equal length and diameter. He first joins two wires in series and passes an electric current through the combination which increases gradually. After that he joins two wires in parallel and repeats the process of passing current. Which wire will glow first in each case?

Answer» (1) In series combination, there will be same current through Iron and as well as copper wire. Since the rate of heat production, `P = I^(2) R` or `P prop R` (for the given value of 1). The resistance of iron wire is more than that of copper for the given length and diameter. Hence in iron wire, the rate of heat production increases gradually. In series combination Iron will glow first.
(2) In parallel combination of Iron and copper wire, there will be same P.D (V) across them.
Since the rate of heat production, `P = (V^(2))/(R ) "or" P prop (1)/(R )` (for the given value fo V). The resistance of Iron is more than that of copper for the given length and diameter. Hence in copper wire, the rate of heat production is more.
In parallel combination copper will glow first.
1402.

In the network shown in fig. , points A, B, and C are at potentials of 70 V, 0, and 10V, respectively. A. the point D will be at a potential of 60 VB. the point D will be at a potential of 20 VC. currents in the pathes AD, DB and DC are in the ratio of `1:2:3`D. current in the paths AB, DB and DC are in the ratio of `3:2:1`

Answer» Correct Answer - C
1403.

There are two wires of copper and iron of the same length but difference radii .When equal potential difference between the ends of each wire, the same current flows in them. What the ratio of their radii .Specific resistance of copper and irons are `1.6 xx 10^(-8) Omega m and 1.0 xx 10^(-7) Omega m` respectively

Answer» Correct Answer - `(2)/(5)`
As, under the the same potential difference across the two wires, the same current flow in them to the resistance of two wires must be same
Now,`R = (rhol)/(pi r^(2))` ,
So `R_(Cu) = (rho_(Cu)l)/(pi r_(Cu)^(2)) and R_(I) = (rho_(I)l)/(pi r_(I)^(2))`
As `R_(Cu) = R_(I)` so `(rho_(Cu)l)/(pi r_(Cu)^(2)) = (rho_(I)l)/(pi r_(I)^(2))`
or `(rho_(Cu))/(rho_(I)) = (r_(Cu)^(2))/(r_(I)^(2))`
or `(r_(Cu))/(r_(I)) = sqrt((rho_(Cu))/(rho_(I))) = sqrt((1.6 xx 10^(-8))/(1.0 xx 10^(-7))) = 0.4 = (2)/(5)`
1404.

Mark out the correct options (i) An ammeter should have small resistance (ii) An ammeter should have large resistance (iii) A voltage should have small resistance (iv) A voltage should have large resistance.A. (i),(ii)B. (ii),(iii)C. (iii),(iv)D. (i),(iv)

Answer» Correct Answer - D
1405.

The net resistance of a volmeter should be large to ensure thatA. It does not get overheatedB. it does not draw excessive currentC. it can measure large potential differencesD. it does not appreciably change the potential difference to be measured.

Answer» Correct Answer - D
1406.

n identical cells, each of emf E and internal resistance r, are joined in series to form a closed circuit. Find the potential difference across any one cell.A. zeroB. `epsilon`C. `(epsilon)/(n)`D. `((n-1)/(n)) epsilon`

Answer» Correct Answer - A
1407.

In the circuit shown below, each battery is 5V and has an internal resistance of 0.2 ohm. The reading in the ideal voltmeter V is .A. 5 VB. 10 VC. 15 VD. zero

Answer» Correct Answer - D
1408.

In the circuit shown below, each battery is 5V and has an internal resistance of 0.2 ohm. The reading in the ideal voltmeter V is .

Answer» All the eight batteries are in series
Total emf of eight betteries `= 6 xx 8 = 48V`
Total initialresistance of eight batteries `= 8 xxx 0.2 = 1.4 Omega`
current `t = (48)/(1.6) = 30A`
Reading of veltmeter = terminal potential different across one cell = mgf - voltage across initial resistance of time of one cell `= 6 - 30 xx 0.2 = 0 V`
1409.

In the circuit shown below, each battery is 5V and has an internal resistance of 0.2 ohm. The reading in the ideal voltmeter V is .

Answer» Let a current I flow through the circuit. Net emf of the circuit
`= 8(5V) = 40V`
Net resistance in the circuit `= 8(0.2 Omega) = 1.6Omega`
Current flowing through the circuit,
`I = (40 V)/(1.6Omega) = 25 A`
The voltmeter reading would be
`V = E-IR = (5V)-(25A)(0.2Omega)`
`=5V-5V = 0`.
1410.

Six resistance are connected as shown in figure. If total current flowing is `0.5A`, then the potrential difference `V_(A)-V_(B)` is A. 8 VB. 6 VC. 2 VD. 4 V

Answer» Correct Answer - D
1411.

Some electric bulbs are connected in series across a 220 V supply in a room. If one bulb is fused then remaining bulbs are connected again in series across the same supply. The illumination in the room willA. increaseB. decreaseC. remain the sameD. not continuous

Answer» Correct Answer - A
1412.

A uniform wire when connected directly across a 220 V line produces heat H per second. If wire is divided into n parts and all parts are connected in parallel across a 200 V line, then the heat produced per second will beA. `H_(s)`B. `nH_(s)`C. `n^(2)H_(s)`D. `H_(s)//n^(2)`

Answer» Correct Answer - C
V=200 V
` H=i^(2)Rt " " (because i=V//r)`
`H_(s)=(V^(2))/(nR_(eq))t`
In parallel, equivalent resistance of n parts is
` R_(eq)=(r )/(n)`
where, r is the resistance of each part.
`H=(V^(2))/((r//n))t=(nV^(2))/(t)t`
`therefore " " H=n^(2)H_(s)`
1413.

If a wire is stretched to four times its length, then the specific resistance of the wire willA. become 4 timesB. become 1/4 timesC. become 16 timesD. remain the same

Answer» Correct Answer - D
1414.

For the circuit shown in figure given below, the equivalent resistance points A and B is A. `10Omega`B. `5 Omega`C. `(10)/(3)Omega`D. `2Omega`

Answer» Correct Answer - C
1415.

Two resistors of `6 Omega " and " 9 Omega` are connected in series to a 120 V source. The power consumed by the `6 Omega` resistor isA. 384 WB. 616 WC. 1500 WD. 1800 W

Answer» Correct Answer - A
1416.

Two resistors of `6 Omega " and " 9 Omega` are connected in series to a 120 V source. The power consumed by the `6 Omega` resistor isA. 384 WB. 576 WC. 1500 WD. 1800 W

Answer» Correct Answer - A
V=120 V
`V=V_(1)+V_(2)`
`V_(1)=iR_(1)`
`V_(2)=iR_(2) implies (V_(1))/(R_(1)) =(V_(2))/(R_(2))`
From Eq. (i), `V=V_(1)+V_(2)=V_(1)+(R_(2))/(R_(1))V_(1)`
`V=V_(1)[(R_(1)+R_(2))/(R_(1))] implies V_(1)=(120xx6)/(15)=48 V`
Power in ` 6 Omega, P_(1)=(V_(1)^(2))/(R_(1))=(48xx48)/(6)implies P_(1)=384 W`
1417.

A 100 W, 200 V bulb is connected to a 160 V supply. The power consumption would beA. 64 WB. 80 WC. 100 WD. 150 W

Answer» Correct Answer - A
`P=V^(2)//R=160xx(160)/(400)=64 W`
1418.

Assertion: Current is a scalar quantity. Reason: Electric current arises due to continuous flow of charged particles or ions.A. If both Assertion `&` Reason are True `&` the Reason is a correct explanantion of the AssertionB. If both Assertion `&` Reason True but Reason is not a correct explanation of the AssertionC. If Assertion is True but the Reason is FalseD. If both Assertion `&` Reason are False.

Answer» Correct Answer - 2
1419.

The dimensions of a block are `1cmxx1cmxx100cm.` If the specific resistance of its material is `2xx10^(-7) ohmxxmetre`, then the resistance between the opposite rectangular faces isA. `2xx10^(-9) Omega`B. `2xx10^(-7) Omega`C. `2xx10^(-5) Omega`D. `2xx10^(-3) Omega`

Answer» Correct Answer - B
`R=(rhol)/A=(2xx10^(-7)xx1xx10^(-2))/(1xx100xx10^(-4))=2xx10^(-7) Omega`
1420.

In the same figure, equivalent resistance between points A and D isA. `(R)/(4)`B. `2R`C. `R`D. `(R)/(2)`

Answer» Correct Answer - D
1421.

One mole of an ideal gas undergoes a process `p=(p_(0))/(1+((V_(0))/(V))^(2))`. Here, `p_(0)` and `V_(0)` are constants. Change in temperature of the gas when volume is changed from `V=V_(0)` to `V=2V_(0)` isA. `-(2p_(0)V_(0))/(5R)`B. `(11p_(0)V_(0))/(10R)`C. `-(5p_(0)V_(0))/(4R)`D. `p_(0)V_(0)`

Answer» Correct Answer - B
1422.

Three wires of same material are connected in parallel to a source of emf. The length ratio of the wires is `1:2:3` and the ratio of their area of cross section is `2:4:1` then match the following

Answer» Correct Answer - `(A)R, (B)P,(C)P`
1423.

A solid body X of very large heat capacity is kept in an atmosphere whose temperature is 300 K. The body X is connected to a rod of length 1 m and cross sectional area S, as shown in the figure. Thermal conductivity of rod AB is `0.0567W//mK`. Assuming that there is no heat exchange with the surrounding except fom the end B of the rod i.e., neither by any surface of X nor by the curved surface of rod. The end B has emissivity `e=0.8`. If the steady state temperature of the end B is 400 K then find the temperature of X in steady state. (Stefan constant `sigma-5.67xx10^(-8)W//m^(2)K^(4)`) A. 14400 KB. 12600 KC. 13000 KD. 12000 K

Answer» Correct Answer - A
1424.

There are two types of rods : Rod 1 : Length L, Thermal conductivity D, Area of cross section A Rod 2 : Length 2L, Thermal conductivity K, Area of cross section A Four possible arrangements of these rods in steady state are shown in Table-1 and Table-2 gives the temperature of the junction. Match Table-1 with Table-2

Answer» Correct Answer - (A) S, (B) R, (C) Q, (D) P
1425.

Two wires A and B of same material end mass have their length is the ratio `1: 3`. On connecting them, one at a time in the same source of emf, the rate of heat dissipated in `B` is `10 W`. What is the rate of heat dissipated in A ?

Answer» Correct Answer - `90 W`
Let `a_(1) ,l_(1)` be the area of cross - section and length of wire A and `a_(2),l_(2)` be the area of cross - section and length of wire B .As the two wire are of same meterial and mass , so their volume is same .Hence
`a_(1) l_(1) = a_(2),l_(2) or (a_(1))/(a_(2)) = (i_(1))/(l_(2)) = (3l)/(I) = 3 or a_(1) = 3a_(2)`
If `epsilon` is the emf of the source , then the rate of dissipation of heat in wire B is
`H_(B) = (epsilon^(2))/(R_(2)) = 10 or (epsilon^(2))/(rho l_(2)//a_(2)) = 10 `
or `(epsilon^(2))/(rho 3//l a_(2)) = 10 or (epsilon^(2)a_(2))/(rho l) = 30 [," l_(2) = 3 l]`
Rate of head dissipation in wire A is
`H_(A) = (epsilon^(2))/(R_(1)) = (epsilon^(2))/(rho lla_(1)) = (epsilon^(2))/(rho l) (3a_(2))`
`= 3 xx 30= 90 W`
1426.

The shunt required for 10% of main current to be sent through the moving coil galvanometer of resistance `99 Omega` will be-A. `9.9Omega`B. `10Omega`C. `11Omega`D. `9Omega`

Answer» Correct Answer - C
1427.

A resistor of resistance R is connected to an ideal battery. If the value of R is decreased,the power dissipated in the resistor willA. increaseB. decreaseC. remain unchangedD. None of these

Answer» Correct Answer - B
1428.

A platinum resistance thermometer makes use of the variation of a conductor with temperature. If the resistance of this thermometer is `5 Omega " at " 20^(@)C " and " 16 Omega` when inserted in a furnace, find the temperature of the furnace. Given `alpha` for the platinum `=0.0036^(@)C`.

Answer» Correct Answer - `631^(@)C`
1429.

An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it. It resistance at room temperature `(27.0^@C)` is found to be `75.3Omega`. When the toaster is connected to a `230 V` supply, the current settles, after a few seconds, to a steady value of `2.68 A`. What is steady temperature of the nichrome element? The temperature coefficient of resistance of nichrome averaged over the temperature range involved , `1.70xx10^-4C^-1`

Answer» Correct Answer - `847^(@)C`
1430.

Compute total circuit resistance and battery current as shown in figure.

Answer» Correct Answer - A::C
All these resistors are in parallel.
1431.

Calculate the potentials of points `A, B,C` and `D` as shown in Fig. a. What would be the new potential values if connections of `6 V` battery are reversed as shown in fig b. All resistance are on ohm.

Answer» Correct Answer - A::B::C::D
First case `i=(12+6)/(1+2+3)=3A` (clock wise)
`Now, V_A-V_G=12V`
`:. V_A=12V,as V+G=0`
`V_A-V_B=1xx3=3V`
`:. V_B=V_A-3=9V`
`V_B-V_C=2xx3=6V`
`:. V_C=V_B-6=3V`
`V_G-V_D=6V`
`V_D=-6V, as V_G=0`
in the second case
`i=(12-6)/(1+2+3)=1A`
Rest procedure is same
1432.

Assertion : In our houses when we start switching on different light buttons, main current goes on increasing. Reason : Different connections in houses are in parallel. When we start switching on different light buttons, then net resistance of the circuit decreases. Therefore, main current increases.A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.B. If both Assertion and Reason are true and Reason is not correct explanation of Assertion.C. If Assertion is true but Reason is false.D. If Assertion is false but Reason is true.

Answer» Correct Answer - A
1433.

In a conductor 4 coulombs of charge flows for 2 seconds . The value of electric current will beA. 4 voltsB. 4 amperesC. 2 amperesD. 2 volts

Answer» Correct Answer - C
1434.

A wire is stretched as to change its diameter by 0.25%. The percentage change in resistance isA. `4.0%`B. `2.0%`C. `1.0%`D. `0.5%`

Answer» Correct Answer - C
1435.

A Leclanche cell of emf 1.46 V balances against 292 cm of a potentio meter wire. If the current through the wire is 400 mA, the resistance per unit length of the potentiometer wire is

Answer»

\(\frac{E_1}{l_1}=I\lambda\)

\(\therefore \lambda=\frac{E_1}{Il_1}\)

\(=\frac{1.46}{(0.4)(2.92)}\)

\(\lambda=\frac{1.46}{1.168}\)

\(\lambda=1.25\Omega/m\)

1436.

The emf `varepsilon` of a Cu-Fe thermocouple varies with the temperature `theta` of the hot junction (cold junction at `0^(@)C` ), as `varepsilon(mu V)=14 theta-0.02 theta^(2)` Determine the neutral temperature.

Answer» At neutral temperature `(dE)/(dtheta)=0 therefore 14-2(0.02theta_(n))=0rArr theta_(n)=(14)/(0.04)=350^(@)C`
1437.

A steady current of `10.0` A is maintained in a copper voltameter . Calculate the time required to deposit `2.5` g of copper . Relative atomic mass of copper = `63.5` g .

Answer» `because m`=Zit and `Z=(E)/(F)=(M)/(pF) therefore m=(Mit)/(pF)`
where m=2.5g. `F=96500C//"mol",M=63.5,i=10A` and p=2
`therefore t=(mpF)/(Mi)=(2.5xx2xx96500)/( 63.5xx10)= 760s`
1438.

A copper voltameter is connected in series with a coil of resistance `100Omega`. A steady current flowing in the circuit for 10 minutes, gives a deposit of 0.1 g of copper in the voltameter. Calculate the heat generated in the resistance coil. (ECE of Cu`3.3xx10^(-7)kg//C`)

Answer» From first law of electrolysis, m=Zit
`rArr I=(m)/(Zt)=(0.1xx10^(-3))/(3.3xx10^(-7)xx600)=0.505A`
Heat generated in the resistance coil `=I^(2)Rt=(0.505)^(2)(100) 600=15301 J`
1439.

A current of `2 A` flows through a `2 Omega` resistor when connected across a battery. The same battery supplies a current of `0.5 A` when connected across a `9 Omega` resistor. The internal resistance of the battery isA. `1//3Omega`B. `1//4Omega`C. `1Omega`D. `0.5Omega`

Answer» Correct Answer - A
1440.

In the figure given the value of X resistance will be, when the p.d. between `B` and `D` is zero A. 4 ohmB. 6 ohmC. 8 ohmD. 9 ohm

Answer» Correct Answer - C
Balanced Wheatstone bridge
`((6 + 15))/((15 +(6)/(2))) = (((8 X)/(8 + X)+3))/((4 + (4)/(2)))`
`(21)/(18) = (((8X)/(8 + X)+3))/(6)`
`(8X)/(8 +X) = 4 rArr X = 8 Omega`.
1441.

A current `I` is passing through a wire having two sections `P` and `O` of uniform diameters `d` and `d//2` respectively. If the mean drift velocity of electrons in section `P` and `Q` is denoted by `v_(P)` and `v_(Q)` respectively, thenA. `v_(P) = v_(Q)`B. `v_(P) = (1)/(2) v_(Q)`C. `v_(P) = (1)/(4) v_(Q)`D. `v_(P) = 2v_(Q)`

Answer» Correct Answer - C
(c ) Drift velocity `v_(d) = (i)/(n e A) implies v_(d) prop (1)/(A)` or `v_(d) prop (1)/(d^(2))`
`implies (v_(P))/(v_(Q)) = ((d_(Q))/(d_(P)))^(2) = ((d // 2)/(d))^(2) = (1)/(4) implies v_(P) = (1)/(4) v_(Q)`
1442.

It is desired to make a long cylindrical conductor whose temperature coefficient of resistivity at `20^(@)C` will be close to zero. If such a conductor is made by assembling alternate disks of iron and carbon, find the ratio of the thickness of a carbon disk to that an iron disk. `("For carbon", p = 3500 xx 10^(-8)Omega m and alpha= -0.50 xx 10^(-3) .^(@)C^(-1) "for iron, p"=9.68 xx 10^(-8)Omega m and alpha=6.5 xx 10^(-3).^(@)C^(-1))`A. 0.36B. 0.036C. 1D. 2

Answer» Correct Answer - B
The direction of currently density is the direction of flow of positive charge in the circuit which is possible due to electric field produced by charges accumulated on the surface of wire.
1443.

`E` denotes electric field in a uniform conductor, `I` corresponding current through it, `v_(d)` velocity of electrons and `P` denotes thermal power produced in the conductor, then which of the following graph is correct?A. B. C. D.

Answer» Correct Answer - C
(c ) `E = (iR)/(L) = (i. rho)/(A) = (n e Av d rho)/(A) implies v_(d) prop E` (Straight line)
`P = i^(2) R = ((EA)/(rho))^(2) R implies P prop E^(2)` (Symmetric parabola)
Also `P prop i^(2)` (parabola)
Hence, all graphs `a, b, c, d` are correct and `c` is incorrect.
1444.

The V - I graph for a conductor makes angle `theta` with V-axis. Here V denotes voltage and I denotes current. What is the resistance of this conductor?A. `sin theta`B. `cos theta`C. `tan theta`D. `cot theta`

Answer» Correct Answer - D
Slope of graph ` = tan ( 90-theta)=(V)/(I)=R`
`:.cot theta=R`
1445.

`E` denotes electric field in a uniform conductor, `I` corresponding current through it, `v_(d)` velocity of electrons and `P` denotes thermal power produced in the conductor, then which of the following graph is correct?A. B. C. D.

Answer» Correct Answer - a,b,d
`upsilon_(d) = (eE)/(m) tau` i.e. `upsilon_(d)prop E`
`P = (V^(2))/(R ) = ((E//d)^(2))/(R ) = (E^(2))/(d^(2)R)`, i.e. `P prop b E^(2)`
But `E prop upsilon_(d)` so `P prop upsilon_(d)^(2)`
`P = VI = I^(2) R`, i.e. `P prop I^(2)`
1446.

Three resistors `1 Omega, 2 Omega` and `3 Omega` are combined in series. What is the total resistance of the comination?

Answer» Here `R_(1) = 1 Omega, R = 2 Omega, R_(3) = 3 Omega, V = 12 V`
In series total resistance `R__(s) = R_(1) + R_(2) + R_(3) = 1+ 2 + 3 = 6 Omega`
1447.

As the temperature of a metal conductors increase the frequency of collision of electrons …….. and time of relation of the electrons……

Answer» Correct Answer - increase : decrease
1448.

The mean time internal of two consecutive collisiion of the electron with positive ion in a conductor is called …….

Answer» Correct Answer - Time of relacation
1449.

Consider positive and negative charge (all of equal magnitude) moving horizontally through two conductor A and B The magnitude of current is ……..in A and ……. In B

Answer» Correct Answer - more : less
1450.

Current is a…….quantity and in `SI` unit is……..

Answer» Correct Answer - scaller, ampare