1.

A certain prism is that to produce minimum deviation of38^(@). If produces a deviation of 44^(@) when the angle of incidence is either 42^(@) or 62^(@). What is refractive index of material of prism?

Answer»

1.51
1.33
1.62
1.732

Solution :(a)`I = 42^(@) and e = 62^(@) , D = 44^(@)`
I + e = A + D
42 + 62 = A + 44 or A = `60^(@)`
When deviation is min.
I = e
`therefore I + I = 60 + 38 = 49^(@)`
Now `MU = (A)/(2) = sin ((A + D_(m))/(2))`
`or "" mu=(sin((60+38)/(2)))/(sin30^(@))=1.51`


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