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Apparent Depth

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The equation of refraction at a spherical surface is mu_2/v-mu_1/u=(mu_2-mu_1)/R Taking R=oo , show that this equation leads to the equation (Real depth)/(Apparent depth)=mu_2/mu_1 for fraction at a plane surface.

The refractive index of water as measured by the relation mu = ("Real depth")/("Apparent depth") was found to have the values 1.29 , 1.33 , 1.34 , 1.35 , 1.32 , 1.36 , 1.30 , 1.33 . Calculate (i) mean value of mu (ii) mean value of absolute error (iii) relative error (iv) percentage error .

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A vessel of depth 2h is half filled with a liquid of refractive index 2sqrt(2) and the upper half with another liquid of refractive index sqrt(2) . The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be:

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