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Unpolarised light is incident on a plane glass sheet of refractive index 1.34. What should be the angle of incident ray so that reflected and refracted rays are perpendicular to each other.
(1) 37°
(2) 53°
(3) 58°
(4) 60°?
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Unpolarised light is incident on a plane glass sheet of refractive ind...
Understanding the Problem
When unpolarised light strikes a plane glass sheet, we need to find the angle of incidence where the reflected and refracted rays are perpendicular to each other.
Conditions for Perpendicular Rays
- For the reflected and refracted rays to be perpendicular, the angle of reflection (r) and the angle of refraction (R) must satisfy the condition:
r + R = 90°
This leads to the relationship:
R = 90° - r
Applying Snell's Law
- Snell's Law states:
n1 * sin(i) = n2 * sin(R)
Where:
- n1 = refractive index of the first medium (air, approximately 1)
- n2 = refractive index of glass (1.34)
- i = angle of incidence
- R = angle of refraction
- Since R = 90° - r, we can replace R in Snell's Law:
sin(R) = cos(r)
Finding the Angle of Incidence
- From the relationship:
n1 * sin(i) = n2 * cos(r)
We know that r = i (due to the law of reflection).
- This transforms to:
sin(i) = 1.34 * cos(i)
Solving the Equation
- This equation can be solved using trigonometric identities or numerical methods to find the angle of incidence (i).
Conclusion
After calculating, the angle of incidence that satisfies the condition is:
- Angle of Incidence = 53° (Option 2)
This angle ensures that the reflected and refracted rays are indeed perpendicular to each other.
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In 1986, the Government of India, under then Prime Minister Rajiv Gandhi, designated February 28 as National Science Day to commemorate the announcement of the discovery of the “Raman Effect”. This year’s edition is being celebrated under the theme of “Global Science for Global Wellbeing”, in light of India’s G20 presidency. The Raman Effect was the discovery which won physicist Sir CV Raman his Nobel Prize in 1930. Conducting a deceptively simple experiment, Raman discovered that when a stream of light passes through a liquid, a fraction of the light scattered by the liquid is of a different colour. This discovery was immediately recognised as groundbreaking in the scientific community, being the subject of over 700 papers in the first seven years after its announcement. The Raman Effect refers to the phenomenon in which when a stream of light passes through a liquid, a fraction of the light scattered by the liquid is of a different colour. This happens due to the change in the wavelength of light that occurs when a light beam is deflected by molecules. In general, whenlight interacts with an object, it can either be reflected, refracted or transmitted. One of the things that scientists look at when light is scattered is if the particle it interacts with is able to change its energy. The Raman Effect is when the change in the energy of the light is affected by the vibrations of the molecule or material under observation, leading to a change in its wavelength. In their first report to Nature, titled “A New Type of Secondary Radiation,” CV Raman and co-author KS Krishnan wrote that 60 different liquids had been studied, and all showed the same result – a tiny fraction of scattered light had a different colour than the incident light. Raman said, “a phenomenon whose universal nature has to be recognised.”Which of the statements given below can be inferred from the above passage? Change in energy of light is just a delusion; it does not actually happen. CV Raman was the first Indian to win a Nobel in the field of Science.Which of the statements given above is/arecorrect?

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Unpolarised light is incident on a plane glass sheet of refractive index 1.34. What should be the angle of incident ray so that reflected and refracted rays are perpendicular to each other.(1) 37°(2) 53°(3) 58°(4) 60°?
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Unpolarised light is incident on a plane glass sheet of refractive index 1.34. What should be the angle of incident ray so that reflected and refracted rays are perpendicular to each other.(1) 37°(2) 53°(3) 58°(4) 60°? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Unpolarised light is incident on a plane glass sheet of refractive index 1.34. What should be the angle of incident ray so that reflected and refracted rays are perpendicular to each other.(1) 37°(2) 53°(3) 58°(4) 60°? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Unpolarised light is incident on a plane glass sheet of refractive index 1.34. What should be the angle of incident ray so that reflected and refracted rays are perpendicular to each other.(1) 37°(2) 53°(3) 58°(4) 60°?.
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