NEET Physics: Electrostatic Potential and Capacitance — MCQ Test 23

Q6. Why does the potential due to an electric dipole fall off as \( 1/r^2 \) at large distances, unlike the potential of a point charge which falls off as \( 1/r \)?

Q7. A \( 9 \, \mu\text{F} \) capacitor is charged to \( 600 \, \text{V} \). What is the energy stored in it?

Q8. Four capacitors of \( 5 \, \mu\text{F} \) each are in series. What is the equivalent capacitance?

Q9. When a dielectric slab fills only half the space between the plates of a parallel plate capacitor (connected to a battery), why does the electric field differ in the dielectric and air regions?

Q10. An electric dipole with moment \( p = 10^{-9} \, \text{C m} \) lies along the y-axis. What is the potential at \( (0, 3, 0) \, \text{m} \)? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

NEET PhysicsElectrostatic Potential and Capacitance

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A parallel plate capacitor with \( A = 0.01 \, \text{m}^2 \), \( d = 1 \, \text{mm} \) has a dielectric (\( K = 5 \)). What is its capacitance? (Take \( \varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} \)).

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About this NEET MCQ Test

This page provides a free online MCQ test for NEET Physics preparation, focusing specifically on the chapter Electrostatic Potential and Capacitance. It contains 10 carefully selected multiple-choice questions (MCQs) designed to test your conceptual understanding and exam readiness.

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Key concepts covered in this specific test include Parallel, Capacitor, Dielectric, Capacitance, Varepsilon, and Spherical.

Taking these timed MCQ tests helps you simulate the real NEET exam environment. Detailed step-by-step explanations are provided for every question to help you learn from your mistakes and strengthen your fundamentals.

Preview of Questions in this Test

Q1. A parallel plate capacitor with \( A = 0.01 \, \text{m}^2 \), \( d = 1 \, \text{mm} \) has a dielectric (\( K = 5 \)). What is its capacitance? (Take \( \varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} \)).

  • A. 400 pF
  • B. 442.5 pF
  • C. 450 pF
  • D. 500 pF

Q2. A dipole \( p = 8 \times 10^{-10} \, \text{C m} \) is rotated from \( \theta = 0^\circ \) to \( 90^\circ \) in a field \( E = 10^6 \, \text{N/C} \). What is the work done?

  • A. 6 × 10⁻⁴ J
  • B. 7 × 10⁻⁴ J
  • C. 9 × 10⁻⁴ J
  • D. 8 × 10⁻⁴ J

Q3. A spherical conductor of radius 5 cm has a charge of \( 5 \times 10^{-8} \, \text{C} \). What is the potential at its surface? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

  • A. 9000 V
  • B. 8000 V
  • C. 10000 V
  • D. 12000 V

Q4. A \( 6 \, \mu\text{F} \) capacitor charged to \( 150 \, \text{V} \) is connected to an uncharged \( 9 \, \mu\text{F} \) capacitor. What is the energy lost?

  • A. 0.03 J
  • B. 0.035 J
  • C. 0.045 J
  • D. 0.0405 J

Q5. A dipole with \( p = 5 \times 10^{-9} \, \text{C m} \) makes an angle of \( 30^\circ \) with a uniform field \( E = 3 \times 10^4 \, \text{N/C} \). What is its potential energy?

  • A. -1.5 × 10⁻⁴ J
  • B. -1.3 × 10⁻⁴ J
  • C. -1 × 10⁻⁴ J
  • D. -2 × 10⁻⁴ J

+ 5 more questions in the actual test

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