The solid angle subtended by the periphery of an area 1 cm^2 at a… - Vidyadip

MCQ

The solid angle subtended by the periphery of an area $1\ cm^2$ at a point situated symmetrically at a distance of $5\ cm$ from the area is:

A
$2 \times 10^{-2}$ steradian.
✓
$4 \times 10^{-2}$ steradian.
C
$6 \times 10^{-2}$ steradian.
D
$8 \times 10^{-2}$ steradian.

✓

Answer

Correct option: B.

$4 \times 10^{-2}$ steradian.

Solid angle, $\text{d}\Omega=\frac{\text{dA}}{\text{r}^2}=1\text{cm}^2/(\text{ 5cm})^2$
$=0.04$ steradian
$=4\times10^{-2}$ steradian

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