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Test: JEE Main 35 Year PYQs- Current Electricity - JEE MCQ


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30 Questions MCQ Test - Test: JEE Main 35 Year PYQs- Current Electricity

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Test: JEE Main 35 Year PYQs- Current Electricity - Question 1

Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature TC(0). An interesting property of superconductors is that their critical temperature becomes smaller than TC (0) if they are placed in a magnetic field, i.e., the critical temperature TC (B) is a function of the magnetic field strength B. The dependence of TC (B) on B is shown in the figure.

Q.1. In the graphs below, the resistance R of a superconductor is shown as a function of its temperature T for two different magnetic fields B1 (solid line) and B2 (dashed line). If B2 is larger than B1 which of the following graphs shows the correct variation of R with T in these fields?

 

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 1

From the given graph it is clear that with increase of the magnitude of magnetic field (B), the critical temperature TC (B) decreases.
Given B2 > B1. Therefore for B2, the temperature at which the resistance becomes zero should be less. The above statement is true for graph (a).

Test: JEE Main 35 Year PYQs- Current Electricity - Question 2

Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature TC(0). An interesting property of superconductors is that their critical temperature becomes smaller than TC (0) if they are placed in a magnetic field, i.e., the critical temperature TC (B) is a function of the magnetic field strength B. The dependence of TC (B) on B is shown in the figure.

Q.2.A superconductor has TC (0) = 100 K. When a magnetic field of 7.5 Tesla is applied, its TC decreases to 75 K. For this material one can definitely say that when

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 2

We know that as B increases, TC decreases but the exact dependence is not known.
Given at B = 0, TC = 100 K and at B = 7.5T, TC  = 75 K ∴ At B = 5T, TC  should be between 75 K and 100 K.

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Test: JEE Main 35 Year PYQs- Current Electricity - Question 3

STATEMENT-1 :  In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.
STATEMENT-2 : Resistance of a metal increases with increase in temperature.

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 3

When the temperature of metal increases; its resistance increases.
Therefore statement - 2 is correct.

For a meter bridge when null point N is obtained we get

When the unknown resistance is put inside an enclosure, maintained at a high temperature, then X increases. To maintain the ratio of null point l should also increase. But if we want to keep the null point at the initial position (i.e., if we want no change in the value of l) there to maintain the ratio, S should be increased.
Therefore statement - 1 is false.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 4

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 4

KEY CONCEPT : To convert a galvanometer into a voltmeter we connect a high resistance in series with the galvanometer.
The same procedure needs to be done if ammeter is to be used as a voltmeter.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 5

A wire when connected to 220 V mains supply has power dissipation P1. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is P2. Then P2 : P1 is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 5

 

Case 2  : The wire is cut into two equal pieces. Therefore the resistance of the individual wire is R/2. These are connected in parallel

Test: JEE Main 35 Year PYQs- Current Electricity - Question 6

If a current is passed through a spring then the spring will

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 6

When current is passed through a spring then current flows parallel in the adjacent turns.
NOTE : When two wires are placed parallel to each other and current flows in the same direction, the wires attract each other.
Similarly here the various turns attract each other and the spring will compress.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 7

If in the circuit, power dissipation is 150 W, then R is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 7

The equivalent resistance is Req  =

Test: JEE Main 35 Year PYQs- Current Electricity - Question 8

The mass of product liberated on anode in an electrochemical cell depends on (where t is the time period for which the current is passed).

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 8

According to Faraday's first law of electrolysis m = ZIt ⇒ m∝ It

Test: JEE Main 35 Year PYQs- Current Electricity - Question 9

If θi , is the inversion temperature, θn is the neutral temperature, θc is the temperature of the cold junction, then

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 9

Test: JEE Main 35 Year PYQs- Current Electricity - Question 10

The length of a wire  of a potentiometer is 100 cm, and the  e. m.f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery whose internal  resistance is 0.5Ω. If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery is

where i is the current in the potentiometer wire.

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 10

rom the principle of potentiometer, V ∝ l

V = emf of battery, E = emf of standard cell.

L = length of potentiometer wire

In this arrangement, the internal resistance of the battery E does not play any role as current is not passing through the battery.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 11

The thermo e.m.f. of a thermo -couple is 25 μV / o C at room temperature. A galvanometer of  40 ohm resistance, capable of detecting current  as low as 10 -5 A , is connected with the thermo couple. The smallest temperature difference that can be detected by this system is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 11

Let θ be the smallest temperature difference that can be detected by the thermocouple, then

I × R = (25 × 10–6) θ 

where I is the smallest current which can be detected by the galvanometer of resistance R.

∴ 10–5 × 40 = 25 × 10 – 6 × θ

∴ θ = 16°C.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 12

The negative Zn pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by 0.13g  in 30 minutes. If the electeochemical equivalent of  Zn and Cu are 32.5 and 31.5 respectively, the increase in the mass of the positive  Cu pole in this time is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 12

According to Faraday’s first law of electrolysis m =  Z × q For same q,

m ∝ Z

Test: JEE Main 35 Year PYQs- Current Electricity - Question 13

An ammeter reads upto 1 ampere. Its internal resistance is 0.81ohm. To increase the range to 10 A the value of the required shunt is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 13

ig × G = (i – ig) S

Test: JEE Main 35 Year PYQs- Current Electricity - Question 14

A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The  current I, in the circuit will be

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 14

Test: JEE Main 35 Year PYQs- Current Electricity - Question 15

A 220 volt, 1000 watt bulb  is connected across a 110 volt mains supply . The power consumed will be

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 15

When this bulb is connected to 110 volt mains supply we get

Test: JEE Main 35 Year PYQs- Current Electricity - Question 16

The total current supplied to the circuit by the battery is 

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 16

Test: JEE Main 35 Year PYQs- Current Electricity - Question 17

The resistance of the series combination of two resistances is S. when they are joined in parallel the total resistance is P.
If S = nP then the Minimum possible value of n is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 17

Arithmetic mean > Geometric mean Minimum value of n is 4

Test: JEE Main 35 Year PYQs- Current Electricity - Question 18

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii arein the  ratio of 4/3 and 2/3, then the ratio of the current passing through the wires will be

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 18

Test: JEE Main 35 Year PYQs- Current Electricity - Question 19

In a meter bridge experiment null point is obtained at 20 cm. from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4 X against Y

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 19

In the first case 

In the second case 

Test: JEE Main 35 Year PYQs- Current Electricity - Question 20

The termistors are usually made of  

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 20

Thermistors are usually made of metaloxides with high temperature coefficient of resistivity.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 21

Time taken by a 836 W  heater to heat one litre of water from 10°C to 40°C is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 21

 = 1 × 4180 × (40 – 10) = 4180 × 30

(∴ ΔQ = heat supplied in time t for heating  1L water from 10°C to 40°C)

Test: JEE Main 35 Year PYQs- Current Electricity - Question 22

The thermo emf of a thermocouple varies with the temperature q of the hot junction as E = aθ+bθ2 in volts where the ratio a/b is 700°C. If the cold junction is kept at 0°C, then the neutral temperature is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 22

Neutral temperature is the temperature of  a  hot junction at which E is maximum.

Neutral temperature can never be negative hence no θ is possible.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 23

The electrochemical equivalent of a metal is 3.35109-7 kg per Coulomb. The mass of the metal liberated at the cathode when a 3A current is passed for 2 seconds will be

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 23

The mass liberated m, electrochemical equivalent of a metal Z,  are related as m = Zit

⇒ m = 3.3*10-7*3*2 = 19.8*10-7 kg

Test: JEE Main 35 Year PYQs- Current Electricity - Question 24

Two thin, long, parallel wires, separated by a distance ‘d’ carry a current of ‘i’ A in the same direction. They will

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 24

(attractive as current is in the same direction)

Test: JEE Main 35 Year PYQs- Current Electricity - Question 25

A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 25

Resistance of half the coil = R/2

∴ As R reduces to half, ‘H’ will be doubled.

Test: JEE Main 35 Year PYQs- Current Electricity - Question 26

In the circuit , the galvanometer G shows zero deflection. If the batteries A and B have negligible internal resistance, the value of the resistor R will be - 

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 26

∴R = 100Ω

Test: JEE Main 35 Year PYQs- Current Electricity - Question 27

A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10-divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be -

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 27

KEY CONCEPT : Resistance of Galvanometer,

Here ig = Full scale deflection current = 150/10 = 15 mA

V = voltage to be measured = 150 volts (such that each division reads 1 volt)

Test: JEE Main 35 Year PYQs- Current Electricity - Question 28

Two sources of equal emf are connected to an external resistance R. The internal resistance of the two sources are R1and R2 (R1  > R1). If the potential difference across the source having internal resistance R2 is zero, then

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 28

Potential difference across second cell  = V = ε – IR2 = 0

R + R1 + R 2 - 2R 2 = 0
R + R1 - R 2 = 0   ∴ R = R 2 - R1

Test: JEE Main 35 Year PYQs- Current Electricity - Question 29

Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge q flows through the voltameters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are Z1 and Z2 respectively the charge which flows through the silver voltameter is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 29

Mass deposited

 

From equations (i) and (iii), 

Test: JEE Main 35 Year PYQs- Current Electricity - Question 30

In a potentiometer experiment the balancing with a cell is at length 240 cm. On shunting the cell with a resistance of 2W, the balancing length becomes 120 cm. The internal resistance of the cell is

Detailed Solution for Test: JEE Main 35 Year PYQs- Current Electricity - Question 30

The internal resistance of the cell,

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