Question

The apparent depth of an object at the bottom of a tank filled with a liquid of refractive index 1.3 is 7.7 cm. What is the actual depth of the liquid in the tank?​

Answer 1

`\orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}`

The apparent depth of an object at the bottom of a tank filled with a liquid of refractive index 1.3 is 7.7 cm. What is the actual depth of the liquid in the tank?

`{\bold{\blue{GIVEN}}}`

REFRACTIVE INDEX = 1.3

APPARENT DEPTH = 7.7 cm

`{ \bold{\green{To \: Find}}}`

REAL DEPTH OF THE OBJECT.

`{\red{FORMULA \: \: USED }}`

`Reflective \: Index = (Real \: Depth)/(Apparent \: Depth )`

`\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}`

Refractive Index = 1.3

Apparent Depth = 7.7 cm

Putting the values in the formula:-

`Reflective \: Index = (Real \: Depth)/(Apparent \: Depth ) \\ \\ 1.3 = (Real \: Depth)/(7.7 \: cm) \\ \\ 1.3 * 7.7 = Real \: Depth \\ \\ 10.01 \: \: cm = Real \: Depth`