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    The magnification produced by a lens is 1/2. The nature and the relative size of the image formed by the lens in the respective order is:
    Question

    The magnification produced by a lens is 1/2. The nature and the relative size of the image formed by the lens in the respective order is:

    A.

    virtual, erect and enlarged

    B.

    real, inverted and enlarged

    C.

    real, inverted and diminished

    D.

    virtual, erect and diminished

    Correct option is D

    The correct answer is (D) virtual, erect, and diminished.

    The magnification (M) produced by a lens is given by the formula:

    M=Height of the imageHeight of the objectM = \frac{\text{Height of the image}}{\text{Height of the object}}​​

    The magnification is M = 1/2, so the image formed is diminished in size (i.e., the image height is half of the object height).

    If the magnification is positive, the image is virtual and erect.
    If the magnification is negative, the image is real and inverted.
    Since the magnification is positive (1/2), the image will be virtual and erect.

    For a lens with a magnification of 1/2, the image is virtual, erect, and diminished in size.

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