MCQ
For light diverging from a point source:
  • A
    The wavefront is spherical.
  • B
    The intensity decreases in proportion to the distance squared.
  • C
    The wavefront is parabolic.
  • D
    The intensity at the wavefront does not depend on the distance.

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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