Question

An object is placed infront of a convex mirror at a distance of 40 cm. A plane mirror is introduced in the lower half of the convex mirror. If distance between the object and plane mirror is 25 cm, it is found that there is no parallax between the images formed by two mirrors. The radius of curvature of convex mirror will be

Answer 1

Explanation:

⛦Hᴇʀᴇ Is Yoᴜʀ Aɴsᴡᴇʀ⚑

▬▬▬▬▬▬▬▬▬▬▬▬☟

➧ Here, the plane mirror and the convex mirror both form the image at the same position.

➧ Object distance from the plane mirror

➾ 30 cm

➧ So, Image distance is

➾ 30 cm (Behind the mirror)

➧ Thus formed image is at a distance of 10 cm behind the convex mirror.

▶Now,

➧ For convex mirror,

➾ u = -50 cm

➾ v = 10 cm

➧ Using mirror formula,

➾ 1 / v + 1 / u = 1 / f

➾ 1 / 10 - 1 / 50 = 1 /f

　　　　0r

➾ f = 12.5 cm

➾ R = 2f = 25 cm ...✔

_________

Thanks...✊