Question

a diverging mirror of radius of curvature 40cm forms an image which is half the height of the object find the object in image​

Answer 1

Answer:

20 cm

Explanation:

Let hi and ho be heights of image and object respectively. Also, let v and u are image and object distances respectively.

Now, magnification, of mirror,m=(hi/ho)=-(v/u).

But, hi/ho=1/2 is given. Therefore,

hi/ho=1/2=-v/u OR

u=-2v.

Now, mirror formula is:

1/v+1/u=1/f. Therefore,

1/v-1/2v=1/20 OR

1/2v=1/20 OR

v=10cm.

Using this value of v in mirror formula,

1/10+1/u=1/20 OR

u=-20cm.