A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then microscope have to be raised by $30 cm$ to focus the object again. The height of the liquid in the bucket is :
(1) $75 cm$
(2) $50 cm$
(3) $18 cm$
(4) $12 cm$
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