Verified Solution • 2025–26 Session moderate

QNEET-2024-Ph-82: NEET 2024 Physics - Class 12 NEET-2024-Ph-82 Solution: A light ray enters through a right angled prism at point P with …

A light ray enters through a right angled prism at point P with the angle of incidence 30∘30^\circ as shown in figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is: 54\frac{\sqrt{5}}{4} 52\frac{\sqrt{5}}{2} 34\frac{\sqrt{3}}{4} 32\frac{\sqrt{3}}{2}

Multiple Choice Options

  • A 54\frac{\sqrt{5}}{4} 4 5 _ _
  • B 52\frac{\sqrt{5}}{2} 2 5 _ _
  • C 34\frac{\sqrt{3}}{4} 4 3 _ _
  • D 32\frac{\sqrt{3}}{2} 2 3 _ _

Step-by-Step Verified Solution

In prism, r 1 + c = A r 1 = 90 _ _ c .... (1) sin _ c = 1 _ _ cos _ c = _ 2 _ 1 _ _ Apply Snell's law, on incidence surface 1 _ sin _ 30 _ = _ sin _ ( r 1 ) _ 1 _ 1 2 = _ _ sin _ ( 90 _ _ c ) 1 2 = _ _ _ 2 _ 1 _ On squaring 1 4 = _ 2 _ 1 _ _ 2 = 5 4 _ _ = 5 2

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