The Mirror Equation; Ray Optics & Optical Instruments

Q1.

The answer is (B) Virtual and inverted.

The mirror formula is:

1/f = 1/u + 1/v

where,

  • f is the focal length of the mirror
  • u is the object distance
  • v is the image distance

The radius of curvature of a spherical mirror is twice its focal length, so f = 20 / 2 = 10 cm.

The object distance is 15 cm, so u = -15 cm.

The image distance is v = ?

Substituting these values into the mirror formula, we get:

1/10 = 1/(-15) + 1/v
1/10 + 1/15 = 1/v
3/30 = 1/v
v = 30 cm

Since the image distance is positive, the image is real. Since the image is on the opposite side of the mirror from the object, the image is inverted.

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