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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Ray Optics

NEET 2010 · Physics · Ray Optics

The speed of light in media M_1 and M_2 is 1.5 × 10^8 ~m / s and...

The speed of light in media M1\mathbf{M}_1 and M2\mathrm{M}_2 is 1.5×108 m/s1.5 \times 10^8 \mathrm{~m} / \mathrm{s} and 2.0×108 m/s2.0 \times 10^8 \mathrm{~m} / \mathrm{s} respectively. A ray of light enters from medium M1\mathrm{M}_1 to M2\mathrm{M}_2 at an incidence angle ii. If the ray suffers total internal reflection, the value of ii is

Options

  1. Aequal to $\sin ^{-1}\left(\frac{2}{3}\right)
  2. Bequal to or less than $\sin ^{-1}\left(\frac{3}{5}\right)
  3. Cequal to or greater than $\sin ^{-1}\left(\frac{3}{4}\right)
  4. Dless than $\sin ^{-1}\left(\frac{2}{3}\right)

Correct answer

C. equal to or greater than $\sin ^{-1}\left(\frac{3}{4}\right)

Step-by-step solution

In total internal reflection, the angle of incidence (i) must be greater than critical angle CC \because \quad 2μ1=2 and μ2=322sin⁡i≥32sin⁡90∘sin⁡i≥34i≥sin⁡−1(34)\begin{aligned}2 \mu_1 & =2 \text{ and } \mu_2=\frac{3}{2}\\ 2 \sin \mathrm{i}& \geq \frac{3}{2} \sin90^{{}^{\circ}} \\ \sin \mathrm{i}& \geq \frac{3}{4}\\ \mathrm{i}& \geq \sin ^{-1}\left(\frac{3}{4}\right) \end{aligned}
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