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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Ray Optics

JIPMER 2018 · Physics · Ray Optics

The refractive index of glass is 1.5 . The speed of light in glass...

The refractive index of glass is 1.5 . The speed of light in glass is

Options

  1. A3×108 m/s3 \times 10^8 \mathrm{~m} / \mathrm{s}
  2. B2×108 m/s2 \times 10^8 \mathrm{~m} / \mathrm{s}
  3. C1×108 m/s1 \times 10^8 \mathrm{~m} / \mathrm{s}
  4. D4×108 m/s4 \times 10^8 \mathrm{~m} / \mathrm{s}

Correct answer

B. 2×108 m/s2 \times 10^8 \mathrm{~m} / \mathrm{s}

Step-by-step solution

From Snell's law of refraction, sin⁡isin⁡r=μ2μ1=v1v2\frac{\sin i}{\sin r}=\frac{\mu_2}{\mu_1}=\frac{v_1}{v_2} Given, v1=3×108 m/sv_1=3 \times 10^8 \mathrm{~m} / \mathrm{s} μ2μ1=1μ2=1.5⇒v2=v11μ2=3×1081.5 m/s∴v2=3×1083/2=2×108 m/s\begin{array}{rlrl} & & \frac{\mu_2}{\mu_1} & ={ }^1 \mu_2=1.5 \\ \Rightarrow & & v_2 & =\frac{v_1}{{ }^1 \mu_2}=\frac{3 \times 10^8}{1.5} \mathrm{~m} / \mathrm{s} \\ \therefore & & v_2=\frac{3 \times 10^8}{3 / 2}=2 \times 10^8 \mathrm{~m} / \mathrm{s}\end{array}
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