Question

An object is placed in front of a convex mirror at a distance of 50cm. A plane mirror is introduced covering its lower half of the convex mirror. If the distance between the object and the plane mirror is 30cm it is found that there is no gap between the images formed by two mirrors. the radius of convex mirror is

Answer 1

⛦Hᴇʀᴇ Is Yoᴜʀ Aɴsᴡᴇʀ⚑
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➧ 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...✊

Answer 2

Answer:

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