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(C) The apparent shift $x$ produced by multiple layers of different media is given by the formula:$x = \sum d_i \left( 1 - \frac{1}{\mu_i} \right)$Her

Vedclass · Accepted Answer

$4.88$

Vedclass · Answer

(C) The apparent shift $x$ produced by multiple layers of different media is given by the formula:$x = \sum d_i \left( 1 - \frac{1}{\mu_i} \right)$Here,we have three layers:$1$. Glass slab: $d_1 = 4 \ cm$,$\mu_1 = 1.5$$2$. Liquid $A$: $d_2 = 6 \ cm$,$\mu_2 = 1.4$$3$. Liquid $B$: $d_3 = 8 \ cm$,$\mu_3 = 1.3$Substituting the values:$x = 4 \left( 1 - \frac{1}{1.5} \right) + 6 \left( 1 - \frac{1}{1.4} \right) + 8 \left( 1 - \frac{1}{1.3} \right)$$x = 4 \left( \frac{0.5}{1.5} \right) + 6 \left( \frac{0.4}{1.4} \right) + 8 \left( \frac{0.3}{1.3} \right)$$x = 4 \left( \frac{1}{3} \right) + 6 \left( \frac{2}{7} \right) + 8 \left( \frac{3}{13} \right)$$x = 1.333 + 1.714 + 1.846 = 4.893 \ cm \approx 4.88 \ cm$Thus,the total shift is $4.88 \ cm$.

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