Question

A spherical mirror produces an 48cm image infront of its . When an object is placed at a distance of 12cm from its pole . Calculate the focal length of the mirror and identify the nature of mirror . Will the image be magnified . Draw the ray diagram to show the formation of image in above case

Answer 1

I- Nature of the mirror is Concave

II- Image is Real

III- Image is magnified

IV- Magnifucation

u = -12 , v = -48

m = -v/u

m = - (-48)/12

m = - 48/12

m = -4

V- Focal length

1/f = 1/v + 1/u

1/f = 1/-48 + 1/-12

1/f = -1/48 -1/12

1/f = -1 - 4 /48

1/f = -5/48

f = -48/5 = -9.6

VII- Size

ho = 5

m = -4

m = hi/ho

-4 = hi/5

hi = -4 * 5

hi = -20

VIII- Image is Inverted

IX - In shaving mirror , in a torch.