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Question

The solid angle subtended by the total surface area of a sphere at the centre is :


A
4π
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B
2π
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C
π
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D
3π
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Solution

The correct option is B $$4\pi$$
steradian is the solid angle subtended at the center of a sphere of radius r by a section of its surface area of magnitude equal to $$ { r }^{ 2 }$$.  Since the surface area is $$ 4\pi { r }^{ 2 }$$, there are $$  4\pi$$ steradians surrounding a point in space.

Physics

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