A conveying mirrors forms a real image of height 4cm of an object of height 1cm placed 20cm away the mirror.Calculate the image distance and focal length of the mirror
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Answer:
hi = 4cm
ho = 1cm
u=-20cm
v=?
hi/ho=-v/u
where,
hi=height of the image
ho=height of the object
v=distance of the image from the mirror
u=distance of the object from the mirror
4/1=-v/-20
4 = v/20
v = 80cm
Let focal length of the mirror to be 'f'
1/f = 1/v + 1/u
1/f = 1/80 + 1/(-20)
1/f = 1/80 - 1/ 20
1/f = -3/80
f = -80/3 cm
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