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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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