Question:
If 'a' is the thickness of the glass slab and 'b' is the vertical shift of an object through it, then refractive index of the glass slab is
If 'a' is the thickness of the glass slab and 'b' is the vertical shift of an object through it, then refractive index of the glass slab is
Updated On: Apr 7, 2025
- \(\frac{a}{a+b}\)
- \(\frac{a}{a-b}\)
- \(\frac{a-b}{a}\)
- \(\frac{a-b}{b}\)
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The Correct Option is B
Solution and Explanation
When an object is viewed through a glass slab, it appears raised due to the refraction of light. The formula to calculate the refractive index \( \mu \) of the glass is: \[ \mu = \frac{\text{Real thickness}}{\text{Apparent thickness}} = \frac{a}{a - b} \] Here, - \( a \) is the real thickness of the glass slab - \( b \) is the vertical shift (apparent reduction in thickness due to refraction).
The correct option is (B): \(\frac{a}{a-b}\)
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