A concave mirror of focal length 12 cm forms a three times magnified virtual image of an object. find the distance of the object from the mirror

Chemistry
1

a concave mirror of focal length 12 cm forms a three times magnified virtual image of an object. find the distance of the object from the mirror.

2

Answer:
We can use the mirror formula to solve this problem:

1/f = 1/v + 1/u

where f is the focal length, v is the image distance, and u is the object distance.

We know that the magnification, M, is given by:

M = -v/u

Since the image is virtual and magnified, M must be positive. We are given that the magnification is 3, so:

3 = -v/u
v = -3u

Substituting this into the mirror formula:

1/12 = 1/-3u + 1/u

u = -16,

v-u=48-(-16)=64