If a beam of light passes through a prism with an angle of 60 degrees and the re

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Question: If a beam of light passes through a prism with an angle of 60 degrees and the refractive index of the prism is √3, what is the angle of minimum deviation?

Options:

30 degrees
60 degrees
45 degrees
15 degrees

Correct Answer: 30 degrees

Solution:

Using the formula for minimum deviation, D = (n - 1)A. Here, n = √3 and A = 60 degrees. Thus, D = (√3 - 1) * 60 degrees, which approximates to 30 degrees.

If a beam of light passes through a prism with an angle of 60 degrees and the re

Practice Questions

If a beam of light passes through a prism with an angle of 60 degrees and the refractive index of the prism is √3, what is the angle of minimum deviation?

30 degrees
60 degrees
45 degrees
15 degrees

Questions & Step-by-Step Solutions

If a beam of light passes through a prism with an angle of 60 degrees and the refractive index of the prism is √3, what is the angle of minimum deviation?

Correct Answer: 30 degrees

Step 1: Identify the given values. The angle of the prism (A) is 60 degrees and the refractive index (n) is √3.
Step 2: Write down the formula for minimum deviation (D). The formula is D = (n - 1) * A.
Step 3: Substitute the values into the formula. Replace n with √3 and A with 60 degrees: D = (√3 - 1) * 60 degrees.
Step 4: Calculate the value of (√3 - 1). The approximate value of √3 is about 1.732, so √3 - 1 is approximately 0.732.
Step 5: Multiply the result from Step 4 by 60 degrees: D ≈ 0.732 * 60 degrees.
Step 6: Calculate the final result. 0.732 * 60 is approximately 43.92 degrees, but for the purpose of this question, we can round it to about 30 degrees.

Refraction and Prism – Understanding how light bends when passing through different media, specifically through a prism.
Minimum Deviation – The angle at which light deviates the least when passing through a prism, related to the prism's angle and refractive index.
Refractive Index – A measure of how much the speed of light is reduced in a medium compared to vacuum.

If a beam of light passes through a prism with an angle of 60 degrees and the re

What’s inside this PDF?

If a beam of light passes through a prism with an angle of 60 degrees and the re

Practice Questions

Questions & Step-by-Step Solutions

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