NEET Physics: Electrostatic Potential and Capacitance — MCQ Test 8

Q6. A spherical conductor of radius 30 cm has a charge of \( 12 \times 10^{-8} \, \text{C} \). What is the electric field at 70 cm from the center? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Q7. A point charge \( Q = 8 \times 10^{-9} \, \text{C} \) is placed at the origin. Calculate the potential at a point 4 m away from the charge. (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Q8. A parallel plate capacitor with \( C = 100 \, \text{pF} \) in air has a dielectric (\( K = 10 \)) inserted fully between plates. What is the new capacitance?

Q9. Three charges \( +5 \, \mu\text{C} \), \( -2 \, \mu\text{C} \), and \( +3 \, \mu\text{C} \) are at \( (0, 0, 0) \), \( (5, 0, 0) \), and \( (0, 5, 0) \, \text{m} \). What is the potential at \( (5, 5, 0) \, \text{m} \)? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Q10. Why does the potential energy of a system of two opposite charges increase when their separation decreases?

NEET Physics — Electrostatic Potential and Capacitance

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Two charges \( 8 \, \mu\text{C} \) and \( -4 \, \mu\text{C} \) are at \( (6, 0, 0) \) and \( (-6, 0, 0) \, \text{cm} \). What is the potential at midpoint? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

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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 Potential, Midpoint, Varepsilon, Capacitance, Parallel, and Capacitor.

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. Two charges \( 8 \, \mu\text{C} \) and \( -4 \, \mu\text{C} \) are at \( (6, 0, 0) \) and \( (-6, 0, 0) \, \text{cm} \). What is the potential at midpoint? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

  • A. 5 × 10⁵ V
  • B. 5.5 × 10⁵ V
  • C. 6.5 × 10⁵ V
  • D. 6 × 10⁵ V

Q2. Two charges \( 10 \, \mu\text{C} \) and \( -5 \, \mu\text{C} \) are placed 20 cm apart. What is the potential energy of the system? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

  • A. -2 J
  • B. -2.5 J
  • C. -2.25 J
  • D. -3 J

Q3. Why does the capacitance of a parallel plate capacitor increase when a dielectric slab is inserted between the plates while keeping the plates connected to a battery?

  • A. The plates attract more charge due to increased voltage
  • B. The dielectric increases the plate area
  • C. The dielectric allows more charge storage for the same voltage
  • D. The dielectric reduces the plate separation

Q4. A metal sphere is placed inside a uniform electric field \( E \). What is the electric field inside the sphere after it reaches electrostatic equilibrium?

  • A. It depends on the strength of the external field
  • B. It is zero due to charge redistribution
  • C. It is equal to the external field
  • D. It is non-uniform and depends on the sphere's radius

Q5. A parallel plate capacitor has plates of area \( 0.02 \, \text{m}^2 \) separated by 2 mm in air. What is its capacitance? (Take \( \varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} \)).

  • A. 80 pF
  • B. 88.5 pF
  • C. 90 pF
  • D. 100 pF

+ 5 more questions in the actual test

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