Question

A 4.5 Cm Needle Is Placed 12 Cm Away From A Convex Mirror Of Focal Length 15Cm Then The Location Of Image Will Be _______.

Answer 1

Here,

object size , h1 = 4.5 cm

object distance, u = –12 cm

focal length, f = + 15 cm

image distance , v = ?

magnification, m = ?

As. 1/u + 1/v = 1/f

1/v = 1/f – 1/u

Now,

putting u = –12 cm and f = +15cm , we get

1/v = 1/15 - 1/-12 = 4+5/60 = 9/60

v = 60/9 = 6.7 cm

✴image is formed 6.7 CM behind the convex mirror. it must be virtual and erect.

if h2 is size of image , then m = h2/h1 = -v/u

or,

m = h2/h1 = –(6.7)/–12 = 0.558

h2 = 0.558

h1 = 0.558 * 4.5 = 2.5 cm

⚡As the needle is moved further from the mirror, image moves away from the mirror till it is at focus F of the mirror the size of the image goes on decreasing.

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Answer 2

Answer:

h1 is equal to 2.5cm

h2 is equal 0.558

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