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WBJEE · Physics · Ray Optics

If the velocity of light in vacuum is \(3 \times 10^{8} \mathrm{ms}^{-1}\), the time taken (in nanosecond) to travel through a glass plate of thickness \(10 \mathrm{cm}\) and refractive index 1.5 is

  1. A 0.5
  2. B 1
  3. C 2
  4. D 3
Verified Solution

Answer & Solution

Correct Answer

(A) 0.5

Step-by-step Solution

Detailed explanation

Given \(v=3 \times 10^{8} \mathrm{ms}^{-1}, d=10 \mathrm{m}\) and \(\mu=1.5\) Here, \(t=\frac{d}{c / \mu}\) \[ t=\frac{10 \times 10^{-2}}{2 \times 10^{8}} \] \(\left(\therefore \frac{c}{\mu}=\frac{3 \times 10^{8}}{1.5}=2 \times 10^{8} \mathrm{ms}^{-1}\right)\)…
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