An object is kept on the principal axis of a concave mirror of focal length
12 cm. If the object is at a distance of 18 cm from the mirror, calculate the
image distance. Determine the nature of the image formed by calculating
the magnification produced by the mirror.
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Answer :
Given -
- Concave mirror
- Focal length = - 12 cm
- Object Distance = - 18 cm
To Find -
Mirror Formula : 1/v + 1/u = 1/f.
⇒ 1/v + 1/-18 = 1/-12
⇒ 1/v = -1/12 + 1/18
⇒ 1/v = (-18 + 12)/216
⇒ 1/v = -6/216
⇒ 1/v = - 0.02
⇒ v = 1/- 0.02
⇒ v = - 50 cm
Hence, Image Distance = - 50 cm.
- The Nature of the Image will be : Real and Inverted.
- The Size of the Image will be : Enlarged.
- The Position of the Image will be : Beyond C.
Magnification = -v/u
⇒ -(-50)/-18
⇒ -50/18
⇒ -2.7
So, the Magnification of the Image is -2.7.
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