Question

If the object is placed x distance from the pole of mirror, then image distance is
(Av=- 2x
(B) v=-3x
(C) v= 2x
(D) v=3x​

Answer 1

Answer:

v=2x is the right answer.

Answer 2

Answer: (C) v = 2x

Given:

An object is placed at a 'x' distance from the pole of mirror.

To find:

Image distance

Solution:

For a plane mirror, the image distance (v) is related to the object distance (u) as: v = -u

(Standard sign conventions are followed)

It is given that an object is placed at a 'x' distance from the pole of mirror, hence it implies that u = -x

Hence,

v = -u

=> v = -(-x)

=> v = +x

Hence, image is formed at a distance 'x' behind the mirror.

So,

the distance of image from the object = v - u

                                                                = (+x) - (-x)

                                                                = x + x

                                                                = +2x

Since, v = 2x

option (C) is correct.

                                                                                                                #SPJ3