KVPY Sample Paper KVPY Stream-SX Model Paper-26

  • question_answer
    Consider the following statements :
    \[{{\mathbf{S}}_{\mathbf{1}}}:\] An uncharged conductor kept near a charged body is attracted by that body whether the charge on the body is positive or negative.
    \[{{\mathbf{S}}_{\mathbf{2}}}:\] A solid conductor is placed in a uniform electric field. The electric field due to conductor will be same at every point inside the conductor.
    \[{{\mathbf{S}}_{\mathbf{3}}}\mathbf{:}\] The electric field produced by an infinitely large sheet is same on both sides.
    \[{{\mathbf{S}}_{\mathbf{4}}}\mathbf{:}\] Intensity of electric field decreases as you go away from the centre of a uniformly charged solid sphere (having uniform volume charge density). State, in order, whether \[{{S}_{1}},\,\,{{S}_{2}},\,\,{{S}_{3}},\,\,{{S}_{4}}\]are true or false.

    A) F T F T

    B) T F T F

    C) F F T F

    D) T T F F

    Correct Answer: D

    Solution :

    \[{{\mathbf{S}}_{\mathbf{1}}}\mathbf{:}\] A charged body induces charges on an uncharged conductor and as a result both attract each other. Hence true
    \[{{\mathbf{S}}_{\mathbf{2}}}\mathbf{:}\] Since net electric field inside conductor is zero, The electric field due to conductor at each point inside the conductor is equal and opposite to impressed uniform electric field. Hence true.
    \[{{\mathbf{S}}_{\mathbf{3}}}\mathbf{:}\] The electric field on both sides is same in magnitude but opposite in Direction. Hence false.
    \[{{\mathbf{S}}_{\mathbf{4}}}\mathbf{:}\] As we move from center till surface the field increases and thereafter as we move away from surface the field decreases. Hence False.


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