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
Attached Figure / Diagram
A
\( 25^{\circ} \)
B
\( 40^{\circ} \)
C
\( 15^{\circ} \)
D
\( 55^{\circ} \)
E
\( 95^{\circ} \)
Verified Correct Answer: E.
Physical Principles & Numerical Solution
incident ray = XY
incidence angle i = 15\( ^{\circ} \)
rotation angle \theta = 40º
angle that the reflected ray make with AY = i + 2\theta
= 15 + [2 * 40] = 15 + 80 = 95º
Source: WAEC / JAMB / NECO Classroom Archive (Record #41621)