A Vertical pencil of rays comes from the bottom of a tank filled with a liquid. When it is accelerated horizontally with an acceleration of 7.5 m/s2, the beam is seen to be totally reflected by liquid surface. What is the minimum possible refractive index of liquid ?
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a
Slightly greater than 4/3
b
Slightly greater than 5/3
c
Slightly greater than 1.5
d
Slightly greater than 1.75
answer is B.
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Detailed Solution
tan α =ag⇒tan α=7.510=34 ∴sin α =35. For total internal reflection 1μ⩽ sin α⇒1μ⩽35⇒μ⩾53.