conductor and its properties questions with solutions

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• MCQeasyElectrostaticconductor and its properties

  A point charge q is placed at the centre of a spherical cavity inside an initially neutral isolated conductor. The conductor has no other cavities. The total induced charge on the inner surface and outer surface respectively is:

  Options

  • Option A

    -q, +q

  • Option B

    -q, 0

  • Option C

    0, +q

  • Option D

    +q, -q

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• MCQmediumElectrostaticconductor and its properties

  Two non-conducting hemispherical surfaces, which are having uniform charge density s are placed on smooth horizontal surface as shown in figure. Assuming springs are ideal, calculate compression in each spring if both the hemispherical surface are just touching each other.

  

  Options

  • Option A

    $\frac{\sigma^2R^2}{2\epsilon\omicron k}$

  • Option B

    R

  • Option C

    $\frac{\sigma^2\pi R^2}{2\epsilon\omicron k}$

  • Option D

    None of these

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• MCQmediumElectrostaticconductor and its properties

  Two large conducting sheets are kept parallel to each other as shown. At electrostatic equilibrium, the surface charge densities on the facing surfaces are σ₁ and σ₂. Which value of the electric field at A is impossible?

  

  Options

  • Option A

    $\frac{\sigma_1}{\epsilon\omicron}\hat{i}$

  • Option B

    $-\frac{\sigma_2}{\epsilon\omicron}\hat{i}$

  • Option C

    $\frac{\rho_1+\rho_2}{2\epsilon\omicron}\hat{i}$

  • Option D

    $\frac{\rho_1-\rho_2}{2\epsilon\omicron}\hat{i}$

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• MCQmediumElectrostaticconductor and its properties

  A point charge q is placed at a point inside a hollow conducting sphere. Which of the following electric force pattern is correct ?

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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• MCQmediumElectrostaticconductor and its properties

  Charge is transferred to an irregular metallic disc as shown in the original figure. If σ₁, σ₂, σ₃ and σ₄ are the surface charge densities at the marked points, choose the correct set of statements: (A) σ₁ > σ₃ and σ₂ = σ₄; (B) σ₁ > σ₂ and σ₃ > σ₄; (C) σ₁ > σ₃ > σ₂ = σ₄; (D) σ₁ < σ₃ < σ₂ = σ₄; (E) σ₁ = σ₂ = σ₃ = σ₄.

  

  Options

  • Option A

    A, B and C only

  • Option B

    A and C only

  • Option C

    D and E only

  • Option D

    B and C only

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  JEE Mains 2025 8 April Evening Shift (Shift 2)

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• Multi-correctmediumElectrostaticconductor and its properties

  A point charge +q is trapped inside an empty cavity of an initially neutral metal block. Which statements are necessarily correct in electrostatic equilibrium?

  

  Select all that apply

  • Option A

    The total induced charge on the cavity wall is -q

  • Option B

    The total charge on the outer surface is +q

  • Option C

    The electric field inside the bulk metal is zero

  • Option D

    The induced surface charge density on the cavity wall must be uniform

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• MCQmediumElectrostaticconductor and its properties

  A conducting sphere of radius R is maintained at potential V. The electrostatic pressure just outside its surface is:

  Options

  • Option A

    ε₀V²/(2R²)

  • Option B

    ε₀V²/R²

  • Option C

    ε₀V/(2R)

  • Option D

    V²/(8πε₀R²)

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• MCQeasyElectrostaticconductor and its properties

  Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

  Options

  • Option A

    √(ab)

  • Option B

    ab

  • Option C

    a/b

  • Option D

    b/a

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  JEE Mains 2024 08 Apr Morning Shift

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• MCQmediumElectrostaticconductor and its properties

  An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is placed at the center of the cavity. The points A & B are on the cavity surface as shown in the figure. Then :

  

  Options

  • Option A

    electric field near A in the cavity = electric field near B in the cavity

  • Option B

    charge density at A = charge density at B

  • Option C

    potential at A = potential at B

  • Option D

    total electric field flux through the surface of the cavity is q/ε₀.

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• Multi-correctdifficultElectrostaticconductor and its properties

  A positive point charge 10⁻⁸ C is 20 cm from the center of a neutral conducting sphere of radius 10 cm. The sphere is grounded, the grounding is removed, and then the point charge is moved 10 cm farther away. Take 1/(4πε₀) = 9 × 10⁹ N m² C⁻². Which statements are correct?

  Select all that apply

  • Option A

    Before grounding, the electrostatic potential of the sphere is 450 V.

  • Option B

    Charge of magnitude 5 × 10⁻⁹ C flows because of grounding.

  • Option C

    After grounding is removed, the charge on the sphere is -5 × 10⁻⁹ C.

  • Option D

    The final electrostatic potential of the sphere is 300 V.

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  JEE Advanced 2025 Paper 2

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