Question

A rectangular tank of depth 6 m is full of water of refractive index 4/3 when viewed from the top the bottom of the tank is seen at a depth of


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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

When viewed from the top the bottom of the tank is seen at a depth of 3.75 m.

Step-by-step explanation:

Given, the tank is a rectangular.

Depth of this rectangle tank is 6 m and refractive index is $\frac{4}{3}$

Here we want to find length of the depth which we viewed from the top the bottom of the tank.

Basically from the top of the bottom we can see virtual depth of the tank.

Here we should use the formula,

refractive index of water with respect to air= $\frac{actual \: depth }{virtual \: depth}$

Here actual depth of the rectangular tank is 6 m .

Let virtual depth of the tank be x.

So,refractive index $= \frac{5}{x}$

According to question,

$\frac{5}{x} = \frac{4}{3}$

By cross multiplication,

$4 \times x = 5 \times 3$

Here we are multiplying 4 by x and 5 by 3.

$4x = 15 \\ x = \frac{15}{4}$

$x = \frac{15}{4} = 3.75$

When viewed from the top the bottom of the tank is seen at a depth of 3.75 m.