A 2cm high object is placed at a distance of 20 cm from a concave mirror. A real image is formed at 40cm from the mirror. Calculate the focal length of the mirror and the size of the image.
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Object distance (u) = -20 cm
Image distance (v) = -40cm
Height of the object (h) = 2cm
(Mirror formula)
1/v +1/u = 1/f
1/-40 + 1/-20 = 1/f
-1-2/40 = 1/f
f = -40/3 = 13.33cm
Magnification (m) = -v/u = h1/h2
-40/20 = h1/2
hi = -4 cm (Negative magnification means that the object is diminished).
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Explanation:
by using the formula-H2/H1=-v/u we can find the value of v and after that using this we can find f. (u×v/u-v)
hope this will help you to solve the question your self.
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