Question

A 4cm object is placed perpendicular to the principal axis of a concave mirror of focal length 7.5 cm . The distance of the image from the mirror if it is ,0.6 cm in size is 51/x where x is

Answer 1

Given,

focal length, f = -15 cm

Distance of image, v = -10 cm

Distance of object, u =?

We know that,

1/v - 1/u = 1/f

So, 

1/-10 - 1/u = 1/-15

So, -1/10 + 1/15 = 1/u

(-3 + 2)/30 = 1/u

-1/30 = 1/u

Therefore u = -30 cm

Thus object is placed 30 cm away from the concave lens.

 Negative sign shows that object is at 30cm in front of the lens.