Two metallic charged spheres whose radii are $20\,cm$ and $10\,cm$ respectively, have each $150\,micro - coulomb$ positive charge. The common potential after they are connected by a conducting wire is

  • A

    $9 \times {10^6}\;volts$

  • B

    $4.5 \times {10^6}\;volts$

  • C

    $1.8 \times {10^7}\;volts$

  • D

    $13.5 \times {10^6}\;volts$

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Assertion $A:$ Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.

Reason $R:$ Capacitance of metallic spheres depend on the radii of spheres.

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