Question

a water pond appears to be 2.7 m deep.if the refractive index of water is 4/3, find the actual dephth of the pond.

Answer 1

ACTUAL DEPTH OF POND IS 3.6 metres.

Given:

• Pond appears to be 2.7 m deep.
• Refractive index of water is 4/3.

To find:

Actual Depth of pond ?

Calculation:

Since the pond appears to be 2.7 metres deep, it means that the apparent depth = 2.7 m.

Now, the actual depth will be :

$app. \: depth = \dfrac{actual \: depth}{ \mu}$

$\implies actual\: depth = app. \: depth \times \mu$

$\implies actual\: depth = 2.7 \times \dfrac{4}{3}$

$\implies actual\: depth = 0.9 \times 4$

$\implies actual\: depth =3.6 \: m$

So, actual depth of pond is 3.6 m.