Current Electricity · JEE Main previous year questions

2025 21 questions

1. Q312025 · 8 Apr 2025 · Shift 2
   
   1. A.$\frac{2{\mu }_{0}I}{3\pi a}$
   2. B.$\frac{\sqrt{2}{\mu }_{0}I}{3\pi a}$
   3. C.$\frac{3\pi {\mu }_{0}I}{\sqrt{2}a}$
   4. D.$\frac{{\mu }_{0}I}{2\pi a}$
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   Answer: B

2. Q432025 · 4 Apr 2025 · Shift 2
   
   1. A.
   2. B.
   3. C.
   4. D.
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   Answer: B

3. Q282025 · 3 Apr 2025 · Shift 1

   A wire of length $25\mathrm{m}$ and cross-sectional area $5\mathrm{m}{\mathrm{m}}^2$ having resistivity of $2\times 10^{-6}\Omega \mathrm{m}$ is bent into a complete circle. The resistance between diametrically opposite points will be

   1. A.$100\Omega$
   2. B.$2.5\Omega$
   3. C.$12.5\Omega$
   4. D.$50\Omega$
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   Answer: B

4. Q452025 · 3 Apr 2025 · Shift 1
   
   1. A.
   2. B.
   3. C.
   4. D.
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   Answer: A

5. Q462025 · 3 Apr 2025 · Shift 1· Numerical answer
   
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   Answer: 5

6. Q372025 · 3 Apr 2025 · Shift 2
   
   1. A.
   2. B.
   3. C.
   4. D.
   Show answer

   Answer: A

7. Q482025 · 3 Apr 2025 · Shift 2· Numerical answer

   Two cells of emfs $1\mathrm{V}$ and $2\mathrm{V}$ and internal resistances $2\Omega$ and $1\Omega$, respectively, are connected in series with an external resistance of $6\Omega$. The total current in the circuit is $I_1$. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is $I_2$. The value of $\left(\frac{I_1}{I_2}\right)$ is $\frac{x}{3}$. The value of $x$ is__________.

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   Answer: 4

8. Q422025 · 2 Apr 2025 · Shift 1

   The battery of a mobile phone is rated as $4.2\text{ V},5800\text{ mAh}$. How much energy is stored in it when fully charged?

   1. A.87.7 kJ
   2. B.43.8 kJ
   3. C.48.7 kJ
   4. D.24.4 kJ
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   Answer: A

9. Q432025 · 2 Apr 2025 · Shift 1

   A zener diode with $5\text{ V}$ zener voltage is used to regulate an unregulated dc voltage input of $25\text{ V}$. For a $400\Omega$ resistor connected in series, the zener current is found to be 4 times load current. The load current ($I_{\mathrm{L}}$) and load resistance ($R_{\mathrm{L}}$) are :

   1. A.$I_{\mathrm{L}}=0.02\text{ mA};R_{\mathrm{L}}=250\Omega$
   2. B.$I_{\mathrm{L}}=10\text{ A};R_{\mathrm{L}}=0.5\Omega$
   3. C.$I_{\mathrm{L}}=10\text{ mA};R_{\mathrm{L}}=500\Omega$
   4. D.$I_{\mathrm{L}}=20\text{ mA};R_{\mathrm{L}}=250\Omega$
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   Answer: C

10. Q342025 · 2 Apr 2025 · Shift 2
    
    1. A.$P=0,Q=1$
    2. B.$P=1,Q=0$
    3. C.$P=0,Q=0$
    4. D.$P=1,Q=1$
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    Answer: C

11. Q392025 · 29 Jan 2025 · Shift 2
    
    1. A.
    2. B.
    3. C.
    4. D.
    Show answer

    Answer: D

12. Q312025 · 28 Jan 2025 · Shift 1
    
    1. A.$r$
    2. B.$\frac{r}{6}$
    3. C.$\frac{r}{3}$
    4. D.$\frac{r}{9}$
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    Answer: D

13. Q342025 · 28 Jan 2025 · Shift 1

    A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

    1. A.$8/9$
    2. B.$9/8$
    3. C.$32/27$
    4. D.$27/32$
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    Answer: C

14. Q422025 · 28 Jan 2025 · Shift 1
    
    1. A.
    2. B.
    3. C.
    4. D.
    Show answer

    Answer: A

15. Q462025 · 24 Jan 2025 · Shift 1· Numerical answer

    A wire of resistance $9\Omega$ is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be ____ ohm.

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    Answer: 2

16. Q302025 · 24 Jan 2025 · Shift 2
    
    1. A.(A), (B) and (C) only
    2. B.(A), (C) and (D) only
    3. C.(B), (C) and (D) only
    4. D.(A), (B) and (D) only
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    Answer: C

17. Q312025 · 23 Jan 2025 · Shift 2
    
    1. A.$1.5\text{ A}$
    2. B.$0.25\text{ A}$
    3. C.$1.0\text{ A}$
    4. D.$0.5\text{ A}$
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    Answer: D

18. Q452025 · 23 Jan 2025 · Shift 2

    A galvanometer having a coil of resistance $30\Omega$ need $20\text{ mA}$ of current for full-scale deflection. If a maximum current of $3\text{ A}$ is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be $\frac{30}{X}\Omega$, where $X$ is

    1. A.447
    2. B.298
    3. C.149
    4. D.596
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    Answer: C

19. Q372025 · 22 Jan 2025 · Shift 1

    Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries. In the light of the above statements, choose the correct answer from the options given below.

    1. A.Statement-I is false but Statement-II is true
    2. B.Statement-I is true but Statement-II is false
    3. C.Both Statement-I and Statement-II are false
    4. D.Both Statement-I and Statement-II are true
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    Answer: A

20. Q412025 · 22 Jan 2025 · Shift 1
    
    1. A.
    2. B.
    3. C.
    4. D.
    Show answer

    Answer: D

21. Q452025 · 22 Jan 2025 · Shift 1
    
    1. A.$1.35\text{ A}$
    2. B.$0.9\text{ A}$
    3. C.$1.0\text{ A}$
    4. D.$0.3\text{ A}$
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    Answer: C