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⚛️ Physics  ·  Ray Optics and Optical Instruments  ·  NEET & JEE

A ray enters the flat face of a semicircular glass (n=1.5) at the center. Minimum angle of incidence for TIR at curved surface:

Answer: 41.8 degrees.

  • A 38.6 degrees
  • B 41.8 degrees
  • C 48.2 degrees
  • D 60 degrees

Correct answer: B. 41.8 degrees

Explanation: For TIR at curved surface (glass-air), critical angle = sin<sup>-1</sup>(1/1.5) = sin<sup>-1</sup>(0.667) = 41.8 degrees. The angle of incidence at flat face that produces this must be calculated, but if ray hits curved surface at 41.8 degrees grazing, minimum incidence at flat face = 41.8 degrees.

Concave mirror ray diagram with an object drawn as a candle on the principal axis, the focal point F marked, and the parallel ray and focal ray reflecting to form an inverted real image

Concave mirror ray construction: a ray parallel to the axis reflects through F, and a ray through F reflects parallel, locating the inverted real image. Image: Maxmath12, CC0, via Wikimedia Commons.

Concept context

Reflection, refraction, lenses, mirrors, total internal reflection.

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