[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}[/tex]
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?
[tex]{\bold{\blue{GIVEN}}}[/tex]
REFRACTIVE INDEX = 1.3
APPARENT DEPTH = 7.7 cm
[tex]{ \bold{\green{To \: Find}}}[/tex]
REAL DEPTH OF THE OBJECT.
[tex]{\red{FORMULA \: \: USED }}[/tex]
[tex]Reflective \: Index = \frac{Real \: Depth}{Apparent \: Depth } [/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
Refractive Index = 1.3
Apparent Depth = 7.7 cm
Putting the values in the formula:-
[tex]Reflective \: Index = \frac{Real \: Depth}{Apparent \: Depth } \\ \\ 1.3 = \frac{Real \: Depth}{7.7 \: cm} \\ \\ 1.3 \times 7.7 = Real \: Depth \\ \\ 10.01 \: \: cm = Real \: Depth[/tex]
