Question

magnification produced by a convex mirror is 1/n.if the focal length is f, find the object distance, image distance in terms of curvature r.

Answer 1

Magnification = 1/n.

According to mirror formula, object distance = f(n-1).

In terms of the radius of curvature, we can write Object Distance = R/2 (n-1).

Image distance = (R/2n)(n-1).

Convex mirrors produce images that are virtual, diminished and erect.

Therefore image distance is negative.

The focal length of the mirror is also negative by convention.

Answer 2

Answer:

m = 1/n (virtual)

-v/u = 1/n

u = -vn

we know that,

1/v + 1/u = 1/f

1/v - 1/vn = 1/f

n-1/vn = 1/f

f(n-1) = vn

v = f(n-1)/n or v = r(n-1)/2n

and

u = -vn

= {-f(n-1)/n} × n

=-f(n-1)

=-r/2(n-1)