A 4 cm thick layer of water covers a 6 cm thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent position of the coin from
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The apparent position of objects under water is found by considering the refractive indices of the layers in between the observer and the object.
The apparent position of the coin can be found using the formula for refraction:
\[
\frac{h_2}{\mu_2} = \frac{h_1}{\mu_1}
\]
Where \( h_1 = 6 \, {cm} \) is the glass thickness, \( h_2 = 4 \, {cm} \) is the water thickness, and \( \mu_1 \) and \( \mu_2 \) are the refractive indices of glass and water respectively. By applying the refraction law, we find the apparent position of the coin to be 7.0 cm.
Hence, the correct answer is (a).
