Current Electricity - NEET Physics Questions
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Current Electricity

Question 1: moderate

Five identical resistors, each of value 1100Ω, are connected to a 220V battery as shown. The reading of ideal ammeter is :

1. \[\frac{1}{3} A\]
2. \[\frac{1}{5} A\]
3. \[\frac{3}{5} A\]
4. \[\frac{4}{5} A\]
View Answer

Current through each resistor is 220/1100 = 1/5 A

Total current through ammeter = 3 * 1/5 A= 3/5 A

Question 2: moderate

In the circuit shown the reading of ammeter is 2A. The ammeter has negligible resistance. The value of R equals.

1.
2.
3.
4.
View Answer
Question 3: moderate

The V-I graph for two conductor of resistance R1 & R2 are as shown in the figure, the resistance of their series combination (R2 + R1) is proportional to :

1. /[\frac{1}{sin^{2}\theta cos^{2}\theta}/]
2. /[\frac{1}{sin\theta cos\theta}/]
3. /[\frac{cos\theta}{sin^{2}\theta}/]
4. /[\frac{tan2\theta}{sin^{2}\theta}/]
View Answer
Question 4: moderate

If the number of free electrons is \(5\times 10^{28} m^{-3}\) then the drift velocity of electron in a conductor of area of cross-section \(10^{-4} m^{2}\) for a current of 1.2 A is:

 

1. \[1.5\times 10^{-2} m/s\]
2. \[1.5\times 10^{-3} m/s\]
3. \[1.5\times 10^{-4} m/s\]
4. \[1.5\times 10^{-6} m/s\]
View Answer

To find the drift velocity

vdv_d

of the electrons, we use the formula for current in terms of drift velocity:

 

I=nAevdI = n A e v_d

 

Where:


  • II
     

    is the current (1.2 A),


  • nn
     

    is the number of free electrons per unit volume ( 5×1028m35 \times 10^{28} \, \text{m}^{-3} 

    ),


  • AA
     

    is the cross-sectional area of the conductor ( 104m210^{-4} \, \text{m}^2 

    ),


  • ee
     

    is the charge of an electron ( 1.6×1019C1.6 \times 10^{-19} \, \text{C} 

    ),


  • vdv_d
     

    is the drift velocity of the electrons (which we need to calculate).

Step 1: Rearranging the formula to solve for vdv_d

 

 

vd=InAev_d = \frac{I}{n A e}

 

Step 2: Substituting the given values

 

vd=1.2(5×1028)×(104)×(1.6×1019)v_d = \frac{1.2}{(5 \times 10^{28}) \times (10^{-4}) \times (1.6 \times 10^{-19})}

 

Step 3: Performing the calculation

 

vd=1.2(5×1028)×(104)×(1.6×1019)v_d = \frac{1.2}{(5 \times 10^{28}) \times (10^{-4}) \times (1.6 \times 10^{-19})}

 

vd=1.28×106v_d = \frac{1.2}{8 \times 10^{6}}

 

vd=1.5×107m/sv_d = 1.5 \times 10^{-7} \, \text{m/s}

 

Final Answer:

The drift velocity of the electrons is

1.5×107m/s\boxed{1.5 \times 10^{-7} \, \text{m/s}}

.

Question 5: easy

A wire is stretched so that its length increases by 10%. The resistance of the wire increases by :

1. 11%
2. 15%
3. 21%
4. 28%
View Answer

When a wire is stretched, its length increases, and its cross-sectional area decreases. The resistance of a wire is given by the formula:

 

R=ρLAR = \rho \frac{L}{A}

 

Where:


  • RR
     

    is the resistance,


  • ρ\rho
     

    is the resistivity of the material (constant),


  • LL
     

    is the length of the wire,


  • AA
     

    is the cross-sectional area of the wire.

When the wire is stretched:

  1. Length increases by 10%: The new length
    LL'
     

    is given by: 

    L=L+0.1L=1.1LL' = L + 0.1L = 1.1L 

  2. Volume remains constant: The volume of the wire before and after stretching remains the same. Volume is the product of length and area: 

    Volume before=L×A\text{Volume before} = L \times A 

    Volume after=L×A=1.1L×A\text{Volume after} = L' \times A' = 1.1L \times A'Since the volume remains constant:

     

    L×A=1.1L×AL \times A = 1.1L \times A'Solving for

    AA', the new cross-sectional area:

     

    A=A1.1A' = \frac{A}{1.1} 

Step 2: New Resistance

The new resistance

RR'

of the stretched wire is given by:

 

R=ρLA=ρ1.1LA1.1=ρ1.1L×1.1A=ρ1.21LAR' = \rho \frac{L'}{A'} = \rho \frac{1.1L}{\frac{A}{1.1}} = \rho \frac{1.1L \times 1.1}{A} = \rho \frac{1.21L}{A}

 

So, the new resistance

RR'

is 1.21 times the original resistance

RR

.

Step 3: Conclusion

The resistance increases by 21% when the wire is stretched by 10%.

Question 6: easy

The specific resistance of a wire :

1. varies with its length
2. varies with its cross-section
3. varies with its mass of wire
4. does not depend on its length, cross-section and mass of wire
View Answer

Specific resistance is property of substance it doesn't depend on any other physical factor

Question 7: moderate

Find effective resistance between A & C if each resistor is of 6Ω.

1. 4 Ω
2. 2 Ω
3. 2.4 Ω
4. 3 Ω
View Answer
Question 8: moderate

Potential difference between C and B /[\left( V_{C}-V_{B} \right)/] in the circuit is :

1. 15 V
2. 38 V
3. 20 V
4. 9 V
View Answer
Question 9: easy

The resistance of two conductors in series is 40 Ω and this becomes 7.5 Ω in parallel, the resistances of conductors are:

1. 20 Ω, 20 Ω
2. 10 Ω, 30 Ω
3. 15 Ω, 25 Ω
4. 18 Ω, 22 Ω
View Answer
Question 10: difficult

Twelve wires, each of resistance R, are connected to form a cube as shown in the figure. The effective resistance between A and B is :-

1. R/6
2. R/3
3. 5R/3
4. 5R/6
View Answer