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    The magnification produced by a spherical mirror is -0.5. The image formed by the mirror is:
    Question

    The magnification produced by a spherical mirror is -0.5. The image formed by the mirror is:

    A.

    virtual, erect and enlarged

    B.

    real, inverted and diminished

    C.

    real, inverted and enlarged

    D.

    virtual, erect and diminished

    Correct option is B

    The correct answer is (B) real, inverted and diminished.

    Detailed Solution:

    1. Understanding Magnification: The magnification (mmm) of a mirror is defined as the ratio of the height of the image (hih_ihi​) to the height of the object (ho):

    m=hihom= \frac{h_i}{h_o}​​

    It is also related to the distances:

    m=vum=\frac{-v}{u}​​

    where:

      • v = Image distance (distance of the image from the mirror),
      • u = Object distance (distance of the object from the mirror).
    1. Given Data:
      • m=−0.5m .
    2. Characteristics of Magnification:
      • The negative sign of magnification indicates:
        • The image is inverted.
        • The image is real because only real images are inverted.
      • The absolute value of mmm (∣m∣=0.5) indicates:
        • The image is diminished because the magnification is less than 1 (∣m∣<1).
    3. Type of Mirror:
      • A concave mirror can form a real, inverted, and diminished image when the object is placed beyond the center of curvature (C).
    4. Final Characteristics of the Image:
      • Nature: Real
      • Orientation: Inverted
      • Size: Diminished

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