Question

an object is placed in front of a convex mirror at a distance of 50 cm a plane mirror is introduced covering the lower half part of the convex mirror if the distance between the object and the plane mirror is 30 cm it is found that there is no parallax between the image formed by the two mirrors what is the radius of curvature of the convex mirror also calculate magnification produced by the convex mirror

Answer 1

Answer:

Explanation:

Given :-

u = - 50 cm

v = + 10  cm

To Find :-

Radius of curvature of the convex mirror.

Formula to be used :-

Mirror Formula i.e 1/u + 1/v = 1/f

Radius, R = 2f

Magnification, m = - v/u = h/h’

Solution :-

Putting all the values, we get

1/u + 1/v = 1/f

⇒ 1/10 - 1/50 = 1/f

⇒ 5 - 1/50 = 1/f

⇒ 4/50 = 1/f

⇒ f = 50/4

⇒ f = 12.5 cm

Now, Radius of curvature, we get

R = 2f

⇒ R = 2 × 12.5

⇒ R = 25 cm

Hence, the radius of curvature of the convex mirror is 25 cm.

Now, Magnification produced, we get

m = - v/u = h/h’

⇒ m = - 10/- 50

⇒ m = 1/5

Hence, the magnification produced by the convex mirror is 1/5.