question_answer

A rear mirror of a vehicle is cylindrical having radius of curvature 10 cm. The length of arc of curved surface is also 10 cm. If the eye of the driver is assumed to be at a large distance from the mirror, then the field of view in radians is

A) 0.5

B) 1

C) 2

D) 4

Correct Answer: C

Solution :

[c] \[\theta =\frac{l}{r}=\frac{10}{5}=2\,\text{rad}\]      \[\left[ \therefore \,\,\,\text{angle}\,\,\text{=}\frac{\text{arc}}{\text{radius}} \right]\]