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  • While tracing the path of a ray of light passing through a rectangular glass slab a student tabulated his observations. If in his experiment for two readings he takes two values of <img alt="\angle" src="https://entrancecorner.codecogs.com/gif.latex?%5

While tracing the path of a ray of light passing through a rectangular glass slab a student tabulated his observations. If in his experiment for two readings he takes two values of \anglei as 40o and 50o, what should be the correct values of \anglee and \angler in each case?

 

 

 

 
 
 
 
 

Answers (1)

For glass, the refractive index is 1.5

            \frac{\sin i}{\sin r} = 1.5

    \Rightarrow \sin r = \frac{\sin i }{1.5}

(a)    For i = 40\degree

        \sin r = \frac{\sin 40\degree}{1.5} = \frac{0.64}{1.5} = 0.428

        r = \sin^{-1}0.428 = 25.37\degree

    and emergent angle  = angle of incident

            \angle e = \angle i = \angle 40\degree

(b)    i = 50\degree

    \sin r = \frac{\sin 50\degree}{1.5} = 0.51

    \angle r = \sin^{-1} 0.51 = 30.7\degree

    \angle e = \angle i = \angle 50\degree

Posted by

Sumit Saini

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