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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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