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The numerical aperture of a material with acceptance angle of 60 degree in water will be
  • a)
    1.15
  • b)
    2.15
  • c)
    5.21
  • d)
    1.52
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The numerical aperture of a material with acceptance angle of 60 degre...
Answer: a
Explanation: The numerical aperture is given by NA = n sin θa, where n is the refractive index. It is 1.33 for water medium. Given that the acceptance angle is 60, we get NA = 1.33 sin 60 = 1.15.
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Most Upvoted Answer
The numerical aperture of a material with acceptance angle of 60 degre...
The numerical aperture (NA) is a measure of the light-gathering ability of an optical fiber or a lens. It is defined as the sine of the half-angle of the maximum cone of light that can enter or exit the fiber or lens.

The acceptance angle is the maximum angle at which light can enter or exit the material. In this case, we are given an acceptance angle of 60 degrees in water.

To calculate the numerical aperture, we can use the formula:

NA = n * sin(θ)

where n is the refractive index of the material and θ is the acceptance angle in radians.

In this case, the material is water. The refractive index of water is approximately 1.33.

First, we need to convert the acceptance angle from degrees to radians:

θ = 60 * (π/180) = π/3 radians

Now we can substitute the values into the formula:

NA = 1.33 * sin(π/3)

Using a calculator, we find:

NA ≈ 1.33 * 0.866 ≈ 1.151

Therefore, the numerical aperture of a material with an acceptance angle of 60 degrees in water is approximately 1.15.

Therefore, the correct answer is option 'A'.
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