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A tank is feel with water …

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A tank is feel with water to a height of 12.5cm . The apparent depth of a needle lying at the bottom of the tank is 9.4cm. Calculate refrective index 1.63 upto the same height. What will be the apparent depth of the pin
  • 1 answers

Sia ? 6 years, 4 months ago

Case I: Given, real depth = 12.5 cm apparent depth = 9.4 cm
As, {tex}\mu = \frac{{real\;depth}}{{apparent\;depth}}{/tex}
or {tex}\mu = \frac{{12.5}}{{9.4}} = 1.33{/tex}
Case II : {tex}\mu = 1.63{/tex} real depth = 12.5 cm
Apparent depth {tex} = \frac{{\operatorname{Re} al\;depth}}{\mu }{/tex}
{tex}A.D. = \frac{{12.5}}{{1.63}} = 7.67cm{/tex}
Distance through which microscope has to be moved downward.
{tex} = (9.4 - 7.67)cm = 1.73cm{/tex}

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