An object placed 30cm from concave mirror. The focal length of the concave mirror is 12 cm. Find the position of the image formed.
Answers
Given that, an object placed 30 cm from a concave mirror.
{ Object distance from mirror i.e. u is -30 cm }
The focal length of the concave mirror is 12 cm.
{ Focal length of convace mirror i.e. f is -12cm }
We have to find the position of the image formed (v).
Mirror Formula:
1/f = 1/v + 1/u
1/(-12) = 1/v + 1/(-30)
-1/12 = 1/v - 1/30
-1/12 + 1/30 = 1/v
(-5 + 2)/60 = 1/v
-3/60 = 1/v
-1/20 = 1/v
On comparing we get,
v = -20 cm
( Negative sign means that the image is in front of the mirror and its nature is Real and Inverted. )
Therefore, the position of the image is -20 cm.
Additional Information
→ Distance between Pole and Focus point is called Focal Length (f).
→ The distance of the object from the Pole of the mirror is known as Object distance (u).
→ The distance of the image from the Pole of the mirror is known as Image distance (v).
→ Concave mirrors are used in vehicles, used by dentists, used as a shaving mirror, used to produce heat in solar furnaces etc.
→ For magnification (m) = (Height of image)/(Height of object) or (hi)/(ho)
Answer:
-45 cm
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Explanation:
