A monochromatic ray of light is incident on the surface of a glass slab of thickness 8cm, making and angle 30∘ with the surface. The lateral displacement of the ray of light will be (μg=√3).
5.62cm
4.62cm
3.62cm
8cm
A
3.62cm
B
8cm
C
4.62cm
D
5.62cm
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Solution
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μ1sini=μ2sinγ (1) sin60=√3sinγsinγ=12 so consider △OHAγ=30∘
HA= lateral displacement
tan30=HAOH
1√3=HA8
HA=8√3=4.62cm
so lateral displacement =4.62cm
Hence option A is correct.
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