NEET Physics: Electrostatic Potential and Capacitance — MCQ Test 15

Q6. A spherical conductor of radius 15 cm has a charge of \( 9 \times 10^{-8} \, \text{C} \). What is the electric field at 20 cm from the center? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Q7. A parallel plate capacitor with capacitance \( 80 \, \text{pF} \) has a dielectric (\( K = 5 \), thickness \( d/5 \)) inserted. What is the new capacitance? (Original separation \( d \)).

Q8. A dipole with \( p = 8 \times 10^{-9} \, \text{C m} \) makes an angle of \( 60^\circ \) with a uniform field \( E = 1 \times 10^5 \, \text{N/C} \). What is its potential energy?

Q9. A charge of \( 10 \, \mu\text{C} \) is moved from infinity to a point where the potential is \( 30 \, \text{V} \). What is the work done?

Q10. Four capacitors of \( 15 \, \mu\text{F} \) each are in series. What is the equivalent capacitance?

NEET PhysicsElectrostatic Potential and Capacitance

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Why can't the electric field inside a conductor in electrostatic equilibrium have a tangential component along its surface?

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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 Electric, Conductor, Electrostatic, Equilibrium, Tangential, and Component.

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. Why can't the electric field inside a conductor in electrostatic equilibrium have a tangential component along its surface?

  • A. It would cause charges to move along the surface, violating equilibrium
  • B. It would create a potential difference inside the conductor
  • C. It would lead to infinite energy storage
  • D. It would make the field inside non-zero

Q2. A point charge \( Q = 12 \times 10^{-9} \, \text{C} \) is placed at the origin. Calculate the potential at a point 6 m away from the charge. (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

  • A. 18 V
  • B. 15 V
  • C. 20 V
  • D. 22 V

Q3. A capacitor with \( C = 10 \, \text{pF} \) in air has a dielectric (\( K = 4 \), thickness \( d/2 \)) inserted. What is the new capacitance if \( d \) is the original separation? (Take \( \varepsilon_0 A/d = 10 \, \text{pF} \)).

  • A. 14 pF
  • B. 16 pF
  • C. 18 pF
  • D. 20 pF

Q4. A \( 10 \, \mu\text{F} \) capacitor charged to \( 40 \, \text{V} \) is connected to an uncharged \( 10 \, \mu\text{F} \) capacitor. What is the final potential difference?

  • A. 15 V
  • B. 25 V
  • C. 20 V
  • D. 30 V

Q5. A conductor has a surface charge density of \( 4 \times 10^{-6} \, \text{C/m}^2 \). What is the electric field just outside it? (Take \( \varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} \)).

  • A. 4 × 10⁵ N/C
  • B. 4.52 × 10⁵ N/C
  • C. 5 × 10⁵ N/C
  • D. 6 × 10⁵ N/C

+ 5 more questions in the actual test

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