A concave mirror has a focal length of 4 cm and an object 2 cm tall is placed 9 cm away from it. Find the nature, position and size of the image formed.
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Answer:
h1= 2cm, u = -9cm, f = -4cm
We know that
1/v + 1/u = 1/f
1/v = 1/f – 1/u = 1/(-4) – 1/(-9)
= - (1/4) + 1/9 = (-9 + 4)/36 = - (5/36)
V = - 7.2 cm
The image is formed at a distance 7.2 cm in front of the mirror
Again, m = - (v/u) = - (-7.2)/-9 = -0.8
m = h2/h1 ⇒ -0.8 = h2/2 ⇒ h2 = -1.6 cm
So, image is 1.6 cm in size, real and inverted.
Explanation:
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