Question : Find the value of the angle of emergence from the prism. Refractive index of the glass is √3.
a) 90°
b) 60°
b) 60°
c) 30°
d) 45°
Doubt by Deepanshi
Solution :
µga = √3 (Given)
µag = 1/µga = 1/√3
At the interface AC
i = 0°, r = 0°
At the interface AC
i = 0°, r = 0°
At the interface AB
By Geometry,
Angle of Incidence in the denser medium (Glass Prism) [i'] = 30°
By Geometry,
Angle of Incidence in the denser medium (Glass Prism) [i'] = 30°
Angle of Emergence in the rarer medium [e] = ?
Using Snell's Law
µag = sin i'/sin e
1/√3 = sin 30°/sin e
1/√3 = sin 30°/sin e
sin e = √3×sin30°
sin e = √3(1/2)
sin e = √3/2
sin e = sin 60°
e = 60°
Hence, the required angle of emergence is 60°.
So b) would be the correct option.
sin e = √3(1/2)
sin e = √3/2
sin e = sin 60°
e = 60°
Hence, the required angle of emergence is 60°.
So b) would be the correct option.
Video Solution :
