conductor and its properties questions with solutions

Showing 1–10 of 18 questions

• MCQeasyElectrostaticsconductor 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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• MCQeasyElectrostaticsconductor and its properties

  A point charge q is placed inside an empty cavity of an initially neutral conductor, but not at the cavity centre. Which statement is necessarily correct?

  Options

  • Option A

    The induced charge density on the inner surface is uniform

  • Option B

    The electric field in the conducting material is nonzero

  • Option C

    Total induced charge on the inner cavity surface is -q

  • Option D

    The outer surface charge density must be uniform

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• MCQmediumElectrostaticsconductor and its properties

  Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is :

  Options

  • Option A

    4 N

  • Option B

    6 N

  • Option C

    1 N

  • Option D

    12 N

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• MCQmediumElectrostaticsconductor 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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• MCQdifficultElectrostaticsconductor and its properties

  A conducting spherical shell has inner radius a and outer radius b and carries net charge Q. A point charge q is fixed at the centre of its cavity. The electrostatic energy stored in the electric field within the conducting material a<r<b is:

  Options

  • Option A

    q²/(8πε₀)(1/a-1/b)

  • Option B

    Q²/(8πε₀)(1/a-1/b)

  • Option C

    0

  • Option D

    qQ/(4πε₀b)

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• MCQeasyElectrostaticsconductor and its properties

  Two isolated conducting spheres of radii R and 3R initially have the same surface charge density σ. They are brought into contact and then separated. If the final surface charge densities on the smaller and larger spheres are σ₁ and σ₂ respectively, the ratio σ₁/σ₂ is:

  Options

  • Option A

    1/9

  • Option B

    9

  • Option C

    1/3

  • Option D

    3

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• MCQeasyElectrostaticsconductor and its properties

  A thin spherical shell of radius R carries charge Q uniformly. A point charge q is moved quasistatically from the centre of the shell to a point just inside its surface. The work done by the electrostatic field of the shell is:

  Options

  • Option A

    Qq/(4πε₀R)

  • Option B

    -Qq/(4πε₀R)

  • Option C

    0

  • Option D

    Qq/(8πε₀R)

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• MCQmediumElectrostaticsconductor and its properties

  Two identical small conducting spheres, each of radius R, are far apart compared with R. Initially they carry charges Q and 0. They are connected by a thin wire and then disconnected. The decrease in electrostatic energy is approximately:

  Options

  • Option A

    Q²/(16πε₀R)

  • Option B

    Q²/(8πε₀R)

  • Option C

    Q²/(32πε₀R)

  • Option D

    0

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• MCQmediumElectrostaticsconductor and its properties

  There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively. The potentials of the spheres A, B and C respectively, are :

  Options

  • Option A

    V(A) = [1/(4πε₀)](q₁+q₂+q₃)/a, V(B) = [1/(4πε₀)](q₁+q₂+q₃)/b, V(C) = [1/(4πε₀)](q₁+q₂+q₃)/c

  • Option B

    V(A) = [1/(4πε₀)](q₁+q₂+q₃)/a, V(B) = [1/(4πε₀)][(q₁+q₂)/b + q₃/c], V(C) = [1/(4πε₀)](q₁/a + q₂/b + q₃/c)

  • Option C

    V(A) = [1/(4πε₀)](q₁/a + q₂/b + q₃/c), V(B) = [1/(4πε₀)][(q₁+q₂)/b + q₃/c], V(C) = [1/(4πε₀)](q₁+q₂+q₃)/c

  • Option D

    V(A) = [1/(4πε₀)](q₁/a + q₂/b + q₃/c), V(B) = [1/(4πε₀)](q₁+q₂+q₃)/b, V(C) = [1/(4πε₀)](q₁+q₂+q₃)/c

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• MCQeasyElectrostaticsconductor and its properties

  The vehicles carrying inflammable fluids usually have metallic chains touching the ground :

  Options

  • Option A

    To conduct excess charge due to air friction to ground and prevent sparking.

  • Option B

    To alert other vehicles.

  • Option C

    To protect tyres from catching dirt from ground.

  • Option D

    It is a custom.

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