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Question

A microscope is focused on an ink mark on the top of a table. If we place a glass slab 3cm thick on it, how should the microscope be moved to focus on the ink spot again? The refractive index of the glass slab is 1.5.


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Solution

Step 1. Given data:

Thickness of glass slab = 3cm

Refractive index of the glass slab = 1.5

Step 2. Formula used:

Refractive index n = RealdepthDApparentdepth(d)

Step 3. Calculations:

  1. Here, the thickness of the glass slab = Real depth
  2. Hence, apparent depth = Real depth / Refractive index
  3. Putting the given values, we get
  4. Apparent depth = 31.5=2cm
  5. Distance through which the microscope will be moved = Real depth - Apparent depth = 3-2=1cm( upwards)

Thus, the microscope should be moved 1cm in an upwards direction.


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