Question

When an object is placed at a distance of 100 cm from a convex mirror, the magnification produced is 1/2. Where the object should be placed to get magnification of 1/3?​

Answer 1

object should be placed 200cm from the pole of mirror to get magnification of 1/3

it is given that,

object distance , u = -100cm

magnification = 1/2

we know magnification = -v/u

⇒1/2 = -v/-100

⇒v = 50cm

let f is focal length of convex mirror.

using mirror formula,

1/v + 1/u = 1/f

⇒1/50 + 1/-100 = 1/f

⇒1/100 = 1/f

⇒f = +100 cm

now, magnification = 1/3

let object distance is u

then, 1/3 =- v/u

⇒v = -u/3

now 1/(-u/3) + 1/u = 1/100 [ from mirror formula .]

⇒ -3/u + 1/u = -2/u = 1/100

⇒u = -200cm

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Answer 2

$\huge\bold\purple{Answer:-}$

When an object is placed at a distance of 60 cm from a convex mirror, the magnification produced is 1/2.