$(a)\;142.75 \;cm \\ (b)\;262.75\;cm \\ (c)\;382.75\;cm \\ (d)\;242.75\;cm $

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According to lens makers formula

$\large\frac{1}{f} = \bigg(\large\frac{\mu_2}{\mu_1}-1\bigg) \bigg[ \large\frac{1}{R_1}- \frac{1}{R_2}\bigg]$

$\large\frac{1}{f} $$=(1.5-1) \bigg( \large\frac{1}{R_1}- \frac{1}{R_2}\bigg)$

In ethyl alhocol

$\large\frac{1}{t_{liquid}}= \bigg( \large\frac{1.5}{1.36}-1 \bigg) \bigg[ \frac{1}{R_1}-\frac{1}{R_2}\bigg]$

So $f_{liquid}= \large\frac{(1.5 -1)}{\bigg( \large\frac{1.5-1}{1.36}\bigg)} \times f$

$\qquad= 242.75\;cm$

Hence d is the correct answer.

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