Question
For light diverging from a point source:

Answer

  1. The wavefront is spherical.
  2. The intensity decreases in proportion to the distance squared.
Solution:
Type of wavefront Intensity Amplitude
$\text{I}\propto\frac{1}{\text{r}^2}$ $\text{A}\propto\frac{1}{\text{r}}$
$\text{I}\propto\frac{1}{\text{r}}$ $\text{A}\propto\frac{1}{\sqrt{\text{r}}}$
$\text{I}\propto\text{r}^0$ $\text{A}\propto\text{r}^0$
Due to the point source light propagates in all directions symmetrically and hence, wevefront will be spherical as shown in the diagram.
As intensity of the source will be,
$\text{I}\propto\frac{1}{\text{r}^2}$
where, r is radius of the wavefront at any time
Hence the intensity decreases in proportion to the distance squared.

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