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in the image above, an incident ray XY makes an angle of 15\( ^{\circ} \)...

Physics
JAMB 1982

in the image above, an incident ray XY makes an angle of 15\( ^{\circ} \) with a fixed line AY, which is normal to surface of a plane mirror if the mirror is turned as indicated by the arrow through \( 40^{\circ} \), what angle will the reflected ray make with AY

  • A. \( 25^{\circ} \)
  • B. \( 40^{\circ} \)
  • C. \( 15^{\circ} \)
  • D. \( 55^{\circ} \)
  • E. \( 95^{\circ} \)
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Correct Answer: Option E
Explanation

incident ray = XY

incidence angle i = 15\( ^{\circ} \)

rotation angle θ = 40º

angle that the reflected ray make with AY = i + 2θ  

= 15 + [2 * 40] = 15 + 80 = 95º

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