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    3.

    The radius of solid metallic non-conducting sphere is 60  cm60{\rm{ }}\;cm and charge on the sphere is 500  μ  C.500\;{\rm{\mu }}\;C. The electric field at a distance 10  cm10{\rm{ }}\;cm from centre of sphere is

    A

    2imes106NC12 imes {10^6}{\rm{N}}{{\rm{C}}^{ - 1}}

    B

    2imes108NC12 imes {10^8}{\rm{N}}{{\rm{C}}^{ - 1}}

    C

    5imes106NC15 imes {10^6}{\rm{N}}{{\rm{C}}^{ - 1}}

    D

    5imes108NC15 imes {10^8}{\rm{N}}{{\rm{C}}^{ - 1}}

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    4.

    Two charges +5μC + 5\mu C and +10μC + 10\mu C are placed 20  cm20\;cm apart. The net electric field at the mid-point between the two charges is

    A

    4.5imes106  N/C4.5 imes {10^6}\;N/C directed towards +5μC + 5\mu C

    B

    4.5imes106  N/C4.5 imes {10^6}\;N/C directed towards +10μC + 10\mu C

    C

    13.5imes106  N/C13.5 imes {10^6}\;N/C directed towards +5μC + 5\mu C

    D

    13.5imes106  N/C13.5 imes {10^6}\;N/C directed towards +10μC + 10\mu C

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    10.

    Equal charges qq are placed at the vertices A  and  BA\;{\rm{and\;}}B of an equilateral triangle ABCABC of side a.a. The magnitude of electric field at the point CC is

    A

    q4πε0a2\frac{q}{{4\pi {\varepsilon _0}{a^2}}}

    B

    2q4πε0a2\frac{{\sqrt 2 q}}{{4\pi {\varepsilon _0}{a^2}}}

    C

    3q4πε0a2\frac{{\sqrt 3 q}}{{4\pi {\varepsilon _0}{a^2}}}

    D

    q2πε0a2\frac{q}{{2\pi {\varepsilon _0}{a^2}}}

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