An object 2 cm high is placed at a distance of 16 cm from a concave mirror,which produces 3 cm high inverted image. What is the focal length of the mirror?Also find the position of the image.
Answers
Answered by
11
Answer:
size of the object = h1 = 2 cm
size of the image = h2 = -3 cm
u = obj distance = -16 m
Therefore from formula -v/u = h2 / h1, we have
-v/(-16) = -3/2
v/16 = -3/2
v = -3* 16/2
v = - 24 cm
From mirror formula = 1/v + 1/u = 1/f
=> 1/-16 + (-3) / 32 = 1/f
=> (-2 - 3)/32 = 1/f
=> -5/32 = 1/f
=> f = -32/5 = -6.4 cm
Hope it helps you.
Similar questions