My Learning Cart
?
Categories
Account

A fiber optic cable uses total internal reflection. If the refractive index of t

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A fiber optic cable uses total internal reflection. If the refractive index of the core is 1.5 and that of the cladding is 1.4, what is the critical angle?

Options:

  1. 42.0°
  2. 48.6°
  3. 60.0°
  4. 30.0°

Correct Answer: 42.0°

Solution: 

Critical angle θc = sin⁻¹(n2/n1) = sin⁻¹(1.4/1.5) ≈ 42.0°.

A fiber optic cable uses total internal reflection. If the refractive index of t

Practice Questions

Q1
A fiber optic cable uses total internal reflection. If the refractive index of the core is 1.5 and that of the cladding is 1.4, what is the critical angle?
  1. 42.0°
  2. 48.6°
  3. 60.0°
  4. 30.0°

Questions & Step-by-Step Solutions

A fiber optic cable uses total internal reflection. If the refractive index of the core is 1.5 and that of the cladding is 1.4, what is the critical angle?
  • Step 1: Identify the refractive indices. The refractive index of the core (n1) is 1.5 and the refractive index of the cladding (n2) is 1.4.
  • Step 2: Use the formula for the critical angle, which is θc = sin⁻¹(n2/n1).
  • Step 3: Substitute the values into the formula: θc = sin⁻¹(1.4/1.5).
  • Step 4: Calculate the value of 1.4 divided by 1.5, which is approximately 0.9333.
  • Step 5: Find the inverse sine (sin⁻¹) of 0.9333 using a calculator or trigonometric table.
  • Step 6: The result is approximately 42.0 degrees, which is the critical angle.
  • Total Internal Reflection – The phenomenon where light is completely reflected within a medium when it hits the boundary at an angle greater than the critical angle.
  • Refractive Index – A measure of how much the speed of light is reduced inside a medium compared to vacuum.
  • Critical Angle – The minimum angle of incidence at which total internal reflection occurs, dependent on the refractive indices of the two media.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks