Question

A convex mirror used for rear-view on an automobile has a radius
of curvature of 3 m. If a bus is located at 5 m from this mirror,
find the following,
the magnification is​

Answer 1

Answer:-

★ Given:-

→ R = 3m

→ f = R/2 = 3/2 = 1.5m

→ u = 5m

→ v = ?

★ Using Mirror formula:-

1/f = 1/u + 1/v

1/1.5 = 1/-5 + 1/v

1/v = 1/1.5 + 1/5 → 6.5/7.5

v = 7.5/6.5

v = 1.15m

Therefore, the image is virtual seen at the back of mirror.

m = h'/h" = - v/u

= -1.15 / -5

= 0.23

Therefore, image is erect and diminished in size by a factor of 0.23.