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Question

# A charge of 1 C is located at the centre of a sphere of radius 10 cm whose centre coincides with that of a cube of side 20 cm. The ratio of the outgoing flux from the sphere to the outgoing flux from the cube will be

A
more than one
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B
less than one
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C
one
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D
nothing can be said
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Solution

## The correct option is C oneThe charge q=1 C is placed at the centre of a sphere of radius R=10 cm. As the side of the square is 20 cm, so the cube will contain the sphere as shown. As we can see in this figure, the field lines originating from the charge will first intersect the sphere followed by the cube. This tells us that the same number of field lines will intersect the sphere and the cube. ∴ ϕcube=ϕsphere or, ϕsphereϕcube=1 So, option (c) is correct.

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