Question

An object of 15 cm is placed at 50cm in front of convex mirror of focal length 10 cm find the position nature and size of the image form also draw a ray diagram of it​

Answer 1

Values Given

u = -50 cm

f = -10 cm

h = 15 cm

v = ?

h' = ?

m = ?

So Firstly According to mirror formula,

1/v+1/u=1/f

1/v-1/50=-1/10

1/v = 1/50 - 1/10

v = -50/4 = -25/2 = -12.5 cm

So, the image is formed between focus and centre of the curvature

Now magnification, m produced by the mirror is -v/u

= -(-12.5)/(-50) = -1/4

Negative Sign shows that the image is formed is real and inverted

Now size of the image, h' = m*h

= -1/4*15 = -3.75 cm

Negative Sign shows that the mage formed is face downwards or inverted.

I cant draw ray diagram

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