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All questions of Current Electricity for NEET Exam

A wire of resistance 12 Ωm-1 is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]
  • a)
  • b)
    6π Ω
  • c)
  • d)
    0. 6π Ω
Correct answer is option 'D'. Can you explain this answer?

Ram Mohith answered
The two halves (or semicircles) are in parallel combination.

Length of each part is πr = π(0.1) m
Resistance of each part = 12(0.1π) = 1.2π

We know that when two equal resistance are kept in parallel the equivalent resistance will be half of any one resistance. So, the equivalent resistance between A and B is 0.6π

In the circuit shown in the figure, if the potential at point A is taken to be zero, the potential at point B is
  • a)
    –1V
  • b)
    + 2V
  • c)
    –2V
  • d)
    + 1V
Correct answer is option 'D'. Can you explain this answer?

Riya Banerjee answered
Current from D to C = 1A
∴ VD – VC = 2 × 1 = 2V
VA = 0     ∴ VC = 1V, ∴ VD – VC = 2
⇒VD – 1 = 2     ∴ VD = 3V
∴ VD – VB = 2 ∴ 3 – VB = 2 ∴ VB = 1V

A student measures the terminal potentialdifference (V) of a cell (of emf E and internalresistance r) as a function of the current (I)flowing through it. The slope and intercept, ofthe graph between V and I, then, respectively,equal: [2009]
  • a)
    – r and E
  • b)
    r and – E
  • c)
    – E and r
  • d)
    E and – r
Correct answer is option 'A'. Can you explain this answer?

Madhavan Patel answered
The slope of the graph between V and I represents the internal resistance of the cell, r. This is because according to Ohm's Law, V = E - Ir, where E is the emf of the cell. Rearranging this equation, we get Ir = E - V, which shows that the current I is directly proportional to the difference between the emf and the terminal potential difference. Therefore, the slope of the graph is equal to the internal resistance, r.

The intercept of the graph represents the emf of the cell, E. This is because when the current I is zero, the equation V = E - Ir simplifies to V = E, meaning that the terminal potential difference is equal to the emf. Therefore, the intercept of the graph is equal to the emf, E.

A cell can be balanced against 110 cm and 100cm of potentiometer wire, respectively with andwithout being short circuited through aresistance of 10Ω. Its internal resistance is [2008]
  • a)
    1.0 ohm
  • b)
    0.5 ohm
  • c)
    2.0 ohm
  • d)
    zero
Correct answer is option 'A'. Can you explain this answer?

Krish Khanna answered
Here   hence the lengths 110 cm
and 100 cm are interchanged.
Without being short-circuited through R,
only the battery E is balanced.
 
When R is connected across E, Ri, V/L, l2
Dividing (i) by (ii), we get
or, 100 R + 100 r = 110 R
or, 10 R = 100 r

In producing chlorine by electrolysis 100 kWpower at 125 V is being consumed. How muchchlorine per minute is liberated? (E.C.E. ofchlorine is 0.367×10–6 kg / C) [2010]
  • a)
    1.76 × 10–3 kg
  • b)
    9.67 × 10. kg
  • c)
    17.61 × 10–3 kg
  • d)
    3.67 × 10–3 kg
Correct answer is option 'C'. Can you explain this answer?

Srishti Chavan answered
Calculation:
Given:
Power = 100 kW = 100,000 W
Voltage = 125 V
Charge of 1 mole of electrons (1 F) = 96500 C
E.C.E. of chlorine = 0.367 × 10⁻⁶ kg / C

Step 1: Calculate the charge consumed
Power (P) = Voltage (V) × Current (I)
Current (I) = P / V = 100,000 W / 125 V = 800 A

Step 2: Calculate the charge consumed per second
Charge (Q) = Current (I) × Time (t)
As power is given in kW and we need to find the amount per minute, convert time to seconds.
Time (t) = 1 minute = 60 seconds
Charge per second = 800 A × 60 s = 48,000 C

Step 3: Calculate the amount of chlorine liberated per second
Amount of chlorine liberated per second = E.C.E. of chlorine × Charge per second
= 0.367 × 10⁻⁶ kg / C × 48,000 C
= 17.616 × 10⁻³ kg

Step 4: Calculate the amount of chlorine liberated per minute
Amount of chlorine liberated per minute = Amount per second × 60
= 17.616 × 10⁻³ kg/s × 60 s
= 17.616 × 10⁻³ kg/min
= 17.61 × 10⁻³ kg/min
Therefore, the amount of chlorine liberated per minute is 17.61 × 10⁻³ kg, which is option C.

A galvanometer of resistance 50 Ω is connectedto battery of 3V along with a resistance of 2950 Ωin series. A full scale deflection of 30 divisions isobtained in the galvanometer. In order to reducethis deflection to 20 divisions, the resistance inseries should be [2008]
  • a)
    5050 Ω
  • b)
    5550 Ω
  • c)
    6050 Ω
  • d)
    4450 Ω
Correct answer is option 'D'. Can you explain this answer?

Total internal resistance = (50+2950)Ω
= 3000 Ω
Emf of the cell, ε = 3V
Current for full scale deflection of 30
divisions is 1.0 mA.
∴ Current for a deflection of 20 divisions
Let the resistance be x Ω. Then
= 4500 Ω
But the resistance of the galvanometer
is 50Ω
∴ Resistance to be added
= (4500 –50) Ω= 4450 Ω
 

The internal resistance of a 2.1 V cell which givesa current of 0.2 A through a resistance of 10 Ω is[NEET 2013]
  • a)
    0.5 Ω
  • b)
    0.8 Ω
  • c)
    1.0 Ω
  • d)
    0.2 Ω
Correct answer is option 'A'. Can you explain this answer?

Abhiram Nair answered
Given : emf ε = 2.1 V
I = 0.2 A, R = 10Ω
Internal resistance r = ?
From formula.
ε – Ir = V = IR
2.1 – 0.2r = 0.2 × 10
2.1 – 0.2 r = 2 or 0.2 r = 0.1
⇒ 2.1 = 0.2r +2 ⇒ r = 1/2 = 0.5Ω

A wire of a certain material is stretched slowlyby ten per cent. Its new resistance and specificresistance become respectively: [2008]
  • a)
    1.2 times, 1.3 times
  • b)
    1.21 times, same
  • c)
    both remain the same
  • d)
    1.1 times, 1.1 times
Correct answer is option 'B'. Can you explain this answer?

Dipanjan Mehta answered
Resistance of a wire is given by R  l/a
If the length is increased by 10% then new
In that case, area of cross-section of wire
would decrease by 10%
∴ New area of cross-section
Thus the new resistance increases by 1.21
times. The specific resistance (resistivity)
remains unchanged as it depends on the
nature of the material of the wire.

In the circuit shown, if a conducting wire is connected between points A and B, the current in this wire will [2006]
  • a)
    flow in the direction which will be decidedby the value of V
  • b)
    be zero
  • c)
    flow from B to A
  • d)
    flow from A to B
Correct answer is option 'C'. Can you explain this answer?

Kajal Bose answered
Current will flow from B to A
Potential drop over the resistance CA will be
more due to higher value of resistance. So
potential at A will be less as compared with at
B. Hence, current will flow from B to A.

If power dissipated in the 9-Ω resistor in the circuit shown is 36 watt, the potential difference across the 2-Ω resistor is [2011]
  • a)
    4 volt
  • b)
    8 volt
  • c)
    10 volt
  • d)
    2 volt
Correct answer is option 'C'. Can you explain this answer?

Anand Jain answered
We have, 
Current passing through the 9Ω resistor is
The 9Ω and 6Ω resistors are in parallel,
therefore
where i is the current delivered by the
battery.
Thus, potential difference across 2Ω
resistor is
V = iR
= 5 × 2
= 10V

A current of 3 amp flows through the 2Ω resistor shown in the circuit. The power dissipated in the 5-Ω resistor is: [2008]
  • a)
    4 watt
  • b)
    2 watt
  • c)
    1 watt
  • d)
    5 watt
Correct answer is option 'D'. Can you explain this answer?

Rajeev Sharma answered
Clearly, 2Ω, 4Ω and ( 1 + 5) Ωresistors are
in parallel. Hence, potential difference is
same across each of them.
∴ I1 × 2 = I2 × 4 = I3 × 6
Given I1 = 3A ∴ I1 × 2 = I3 × 6
Given I1 = 3A.
∴ I1 × 2 = I3 × 6 provides
Now, the potential across the 5Ω resistor is
V = I3 × 5 = 1 × 5 = 5V.
∴ the power dissipated in the 5Ωresistor

Two cells, having the same e.m.f., are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is [2006
  • a)
  • b)
  • c)
    r1 + r2
  • d)
    r1 - r2
Correct answer is option 'D'. Can you explain this answer?

Swara Desai answered
Two cells of emf ? are connected in series through external resistance R.
Thus, total resistance is R + r1 + r2

 Thus, current across the circuit is total voltage divided by total resistance.

Now, when circuit is closed, the voltage across first cell is zero. Thus, we have

This is the value of R in terms of r1 and r2.

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