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Draw the incident ray and the reflected ray. if a light ray is incident on a plane mirror with the angle of incidence 30∘.

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Ordinary (i.e., unpolarised) lights is incident on the surface of a transparent material at the polarising angle. If it is partly reflected and partly refracted, what is the angle between the reflected and the refracted rays?

Step 2: Condition for Total Polarisation of Reflected Light- When unpolarised light is incident on the boundary between two transparent media, the reflected light will be totally plane polarised when the angle of incidence (I) is such that the reflected and refracted rays are perpendicular to each other.

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Step 3: Derive the Expression for the Angle of Incidence1. Using the Geometry: - Let the angle of reflection be I and the angle of refraction be R. - According to the law of reflection, I=R. - The condition for total polarisation states that I+R=90∘. - Therefore, R=90∘−I.

Unpolarized light is incident on a plane surface of glass of refractive index μ at angle i. If the reflected light gets totally polarized, write the relation between the angle i and refractive index μ.

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Hint: Remember that unpolarised light can come from natural sources like the sun, while plane polarised light can be produced using filters like polaroids.

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Can reflection result in plane polarised light if the light is incident on interface from the side with higher refractive index?

When unpolarised light is incident on the interface separating the rarer medium and the denser medium, Brewster angle is found to be 60∘ . Determine the refractive index of the denser medium.

2. Using Snell's Law: - Snell's Law states that sinIsinR=n (where n is the refractive index). - Substitute R from the previous step into Snell's Law: sinIsin(90∘−I)=n - Since sin(90∘−I)=cosI, we can rewrite the equation as: sinIcosI=n - This simplifies to: tanI=n - Therefore, the angle of incidence I can be expressed as: I=tan−1(n)

Step 1: Distinguish between Unpolarised and Plane Polarised Light- Unpolarised Light: This type of light consists of waves vibrating in multiple planes perpendicular to the direction of propagation. It does not have a specific orientation of the electric field vector. - Plane Polarised Light: In this type of light, the waves vibrate in a single plane. The electric field vector oscillates in one direction, which can be defined as the plane of polarization.

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A ray of light is incident on a transparent medium at polarizing angle. What is the angle between the reflected ray and the refracted ray .

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When light is incident on a transparent dielectric at the Brewester angle (tanθp =n), the reflected light proves to be completely polarized. Is the refracted light also completely polarized in this case?

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