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
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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.
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