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A ray of light passing through a prism of refracting angle 60 deviates by 30 Then refractive index of prism should be:- a)between 1 and √2 b)less than √2 (all values) c)more then √2 d) data insufficient?
Most Upvoted Answer
A ray of light passing through a prism of refracting angle 60 deviates...
Refrective index (n)=sin i/sin r
n=sin60/sin 30
n=√3/2/1/2=(√3/2)×2
n=√3
so option C is correct.
Community Answer
A ray of light passing through a prism of refracting angle 60 deviates...
Understanding the Problem
To determine the refractive index of a prism when a ray of light passes through it, we can use the formula related to angle of deviation and the refracting angle of the prism.
Key Information Given
- Refracting angle of the prism (A) = 60 degrees
- Angle of deviation (D) = 30 degrees
Using the Formula
The relationship between the angle of deviation (D), the refracting angle (A), and the refractive index (n) of the prism can be expressed as:
D = n * A - A
Rearranging this gives us:
n = (D + A) / A
Substituting the Values
Now, substituting the given values:
D = 30 degrees
A = 60 degrees
n = (30 + 60) / 60
n = 90 / 60
n = 1.5
Comparing the Refractive Index
Now we compare the calculated refractive index with √2 (approximately 1.414):
- Since 1.5 > √2, we find that the refractive index of the prism is greater than √2.
Conclusion
Thus, the correct answer is:
- c) more than √2
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A ray of light passing through a prism of refracting angle 60 deviates by 30 Then refractive index of prism should be:- a)between 1 and √2 b)less than √2 (all values) c)more then √2 d) data insufficient?
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