Current Electricity · JEE Main previous year questions

2023 60 questions

1. Q582023 · 25 Jan 2023 · Shift 1· Numerical answer

   An LCR series circuit of capacitance 62.5 nF and resistance of $50\Omega$, is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is ____ mH. (Take ${\pi }^2=10$)

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   Answer: 100

2. Q592023 · 25 Jan 2023 · Shift 1· Numerical answer
   
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   Answer: 10

3. Q422023 · 25 Jan 2023 · Shift 2

   The resistance of a wire is $5\Omega$. Its new resistance in ohm if stretched to 5 times of its original length will be :

   1. A.25
   2. B.625
   3. C.5
   4. D.125
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   Answer: D

4. Q542023 · 25 Jan 2023 · Shift 2· Numerical answer
   
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   Answer: 1

5. Q422023 · 24 Jan 2023 · Shift 1
   
   1. A.${\mathrm{I}}_4=\frac{8}{5}\mathrm{A}$ and ${\mathrm{I}}_5=\frac{2}{5}\mathrm{A}$
   2. B.${\mathrm{I}}_4=\frac{6}{5}\mathrm{A}$ and ${\mathrm{I}}_5=\frac{24}{5}\mathrm{A}$
   3. C.${\mathrm{I}}_4=\frac{2}{5}\mathrm{A}$ and ${\mathrm{I}}_5=\frac{8}{5}\mathrm{A}$
   4. D.${\mathrm{I}}_4=\frac{24}{5}\mathrm{A}$ and ${\mathrm{I}}_5=\frac{6}{5}\mathrm{A}$
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   Answer: C

6. Q512023 · 24 Jan 2023 · Shift 1· Numerical answer

   A hollow cylindrical conductor has length of $3.14\mathrm{m}$, while its inner and outer diameters are $4\mathrm{mm}$ and $8\mathrm{mm}$ respectively. The resistance of the conductor is $n\times 10^{-3}\Omega$. If the resistivity of the material is $2.4\times 10^{-8}\Omega \mathrm{m}$, the value of $n$ is ____.

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   Answer: 2

7. Q592023 · 24 Jan 2023 · Shift 1· Numerical answer
   
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   Answer: 10

8. Q342023 · 24 Jan 2023 · Shift 2

   A cell of emf 90 V is connected across series combination of two resistors each of $100\Omega$ resistance. A voltmeter of resistance $400\Omega$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be :

   1. A.40 V
   2. B.90 V
   3. C.45 V
   4. D.80 V
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   Answer: A

9. Q552023 · 24 Jan 2023 · Shift 2· Numerical answer

   If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is __________%.

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   Answer: 44

10. Q602023 · 24 Jan 2023 · Shift 2· Numerical answer
    
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    Answer: 3