Hello, i need help with this whole page, problems 7,8 &9. i am offering 1050 poi

Question

Hello,

i need help with this whole page, problems 7,8 &9. i am offering 1050 points. Please show steps and let me know what information is needed. thanks so much for your help! I really appreciate it as this section is hard for me. i have a similar post on the same subject but different questions so don't be confused. thanks again!  

Compute the velocity of light in the triangular prism from your value of the index of refraction for this prism and the known value of the velocity of light in vacuum. (b) Repeat for the semicircular lent if its material hat a different index of refraction. A ray it incident on the plane surface of a transparent medium having index of refraction n. Derive an expression for the angle of incidence that will cause the reflected ray and the refracted ray (the ray transmitted into the medium) to be perpendicular to each other The incident and reflected rays are in air, whose index of refraction can be taken to be 1. Show that foe a spherical concave mirror that it small enough to that the angle of incidence of any ray t coming in parallel to the mirror's axis and intercepted by the mirror is small, the rays are converged to a point (the principal focus) that it one half the mirror's radius of curvature away from the mirror.

Explanation / Answer

Hi,

Please find the answers below.

Part(a,b)

https://drive.google.com/file/d/0BzsApW5yffhsQXhUUXRqUUJQa28/edit?usp=sharing

Part(c)

https://drive.google.com/file/d/0BzsApW5yffhsemxMWi1lRzhqOGc/edit?usp=sharing

Cheers,

Saurav

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