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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?​

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\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

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