Verified Solution • 2025–26 Session moderate

QJEEM23Ph04f3: JEE Main 2023 Physics - Class 12 JEEM23Ph04f3 Solution: A microscope is focused on an object at the bottom of a bucket. …

A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index 53\frac{5}{3} is poured inside the bucket, then the microscope has to be raised by 30 cm30 \mathrm{~cm} to focus the object again. The height of the liquid in the bucket is :

Multiple Choice Options

  • A 50 cm50 \mathrm{~cm}
  • B 18 cm18 \mathrm{~cm}
  • C 75 cm75 \mathrm{~cm}
  • D 12 cm12 \mathrm{~cm}

Step-by-Step Verified Solution

Shift =(d−dμ)=30 cm=\left(d-\frac{d}{\mu}\right)=30 \mathrm{~cm}

amp;⇒d[1−153]=30amp;⇒d=30×52=75 cm\begin{aligned}& \Rightarrow d\left[1-\frac{1}{\frac{5}{3}}\right]=30 \\\\& \Rightarrow d=\frac{30 \times 5}{2}=75 \mathrm{~cm}\end{aligned}

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