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TS EAMCET · Physics · Ray Optics

Figure shows a ray of light entering and passing through a dense glass slab and emerging from the other side. If the angle \(i=60^{\circ}\), slab thickness \(b=0.04 \mathrm{~m}\) and the refractive index of glass \(=\sqrt{3}\), the parallel shift \(d\) between the emerging and entering rays in \(\mathrm{mm}\) is

  1. A \(\sqrt{\frac{3}{4}}\)
  2. B \(\sqrt{\frac{4}{3}}\)
  3. C \(\frac{40}{\sqrt{3}}\)
  4. D \(15 \sqrt{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{40}{\sqrt{3}}\)

Step-by-step Solution

Detailed explanation

We have, \(\sin r=\frac{\sin i}{\mu}=\frac{\sin 60^{\circ}}{\sqrt{3}}=\frac{1}{2}\) \(\Rightarrow\) Angle of refraction, \(r=30^{\circ}\) Now, lateral shift \(d\) is given by…