Question

Suppose a boy 'A' is inside swimming pool near an edge. Suppose his friend 'B' is standing on the edge.Will 'A' find 'B' taller or shorter than usual height?Explain.

Answer 1

Answer on Question #39443, Physics, Optics

Suppose a boy 'A' is inside swimming pool near an edge. Suppose his friend 'B' is standing on the edge. Will 'A' find 'B' taller or shorter than usual height? Explain.

Solution:

This diagram shows the boy 'B' as seen by the boy 'A':

From below water, objects in air are virtual images that have an apparent position (height in air) greater than their real position.

The apparent position $d'$ can be found from the formula

$$d ^ {\prime} = d \frac {n _ {2}}{n _ {1}}$$

where $d$ is the actual height and $n_2$ and $n_1$ are the refraction indices of the final and initial media for the ray of light. $A$ is the object and $A'$ is its virtual image. The image is virtual because it cannot be formed on a screen.

Answer. The boy 'A' find 'B' taller than usual height