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

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?​

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Kim Cúc 5 years 2021-07-15T17:18:31+00:00 1 Answers 219 views 1

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  1. mocmien2
    0
    2021-07-15T17:19:57+00:00
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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 = \frac{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 = \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

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