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Calculate the ratio of sine of incident angle to the sine of reflected angle when the refractive indices of medium 1 and 2 are given as 2.33 and 1.66 respectively.
  • a)
    0.71
  • b)
    1.4
  • c)
    2
  • d)
    3.99
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Calculate the ratio of sine of incident angle to the sine of reflected...
Answer: a
Explanation: The Snell law is given by N1 sin θi = N2 sin θt. To get sin θi/sin θt, the ratio is N2/N1. On substituting for N1 = 2.33 and N2 = 1.66, we get 1.66/2.33 = 0.71
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Most Upvoted Answer
Calculate the ratio of sine of incident angle to the sine of reflected...
Given:
Refractive index of medium 1 (n1) = 2.33
Refractive index of medium 2 (n2) = 1.66

To find:
The ratio of sine of the incident angle (θ1) to the sine of the reflected angle (θ2)

Formula:
Snell's law relates the angles of incidence and refraction to the ratio of the refractive indices of the two media:

n1 * sin(θ1) = n2 * sin(θ2)

where,
n1 = refractive index of medium 1
n2 = refractive index of medium 2
θ1 = incident angle
θ2 = reflected angle

Calculation:
We need to find the ratio of sin(θ1) to sin(θ2), so let's solve Snell's law for sin(θ2):

sin(θ2) = (n1 * sin(θ1)) / n2

Now, we can calculate the ratio of sin(θ1) to sin(θ2):

(sin(θ1) / sin(θ2)) = sin(θ1) / ((n1 * sin(θ1)) / n2)

Using the property of division, we can write it as:

(sin(θ1) / sin(θ2)) = (sin(θ1) * n2) / (n1 * sin(θ1))

The sin(θ1) term cancels out, so we are left with:

(sin(θ1) / sin(θ2)) = n2 / n1

Substituting the given values:

(sin(θ1) / sin(θ2)) = 1.66 / 2.33

Calculating this ratio:

(sin(θ1) / sin(θ2)) ≈ 0.7111

Rounding off to two decimal places, the ratio is approximately 0.71.

Therefore, the correct answer is option A) 0.71.
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Calculate the ratio of sine of incident angle to the sine of reflected angle when the refractive indices of medium 1 and 2 are given as 2.33 and 1.66 respectively.a)0.71b)1.4c)2d)3.99Correct answer is option 'A'. Can you explain this answer?
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