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An object placed at a distance of 30 cm in front of a concave mirror of focal length 15cm. the image formed is.
Question

An object placed at a distance of 30 cm in front of a concave mirror of focal length 15cm. the image formed is.

A.

virtual and inverted.

B.

real and inverted

C.

virtual and erect

D.

real and erect

Correct option is B

Correct Answer: (b) Real and inverted

Explanation:
We use the mirror formula to determine the nature and position of the image:

1f=1v+1u\frac{1}{f} = \frac{1}{v} + \frac{1}{u}​​

Where:

  • f = focal length = -15 cm (negative because it is a concave mirror)
  • u = object distance = -30 cm (negative as the object is in front of the mirror)
  • v = image distance (to be calculated)

Substitute the values:


Nature of the Image:

  • Image distance ( v = -30 ,{cm}: The negative sign indicates the image is formed on the same side as the object, which is real and inverted for a concave mirror when the object is beyond the focal point.

Hence, the image is real and inverted.

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