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A spherical mirror forms an erect image three times the linear size of the object. If the distance between the object and the image is 80 cm, the focal length of the mirror is
  • a)
    15 cm
  • b)
    - 15 cm
  • c)
    30 cm
  • d)
    40 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A spherical mirror forms an erect image three times the linear size of...
Image size = 3 × object size 
∴ m = (v/u) = 3 
Given: u + v = 80 cm 
► u + 3u = 80 cm 
► u = 20 cm 
► v = 60 cm as image is erect, image must be virtual.
► u = -20 cm 
► v = 60 cm 
Using (1/v) + (1/u) = (1/f) 
► (1/f) = (1 / 60) – (1 / 20) 
► (1/f) = (– 2 / 60) = (– 1 / 30) 
► f = – 30 cm 
∴ Concave mirror with f = 30 cm.
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A spherical mirror forms an erect image three times the linear size of...
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A spherical mirror forms an erect image three times the linear size of the object. If the distance between the object and the image is 80 cm, the focal length of the mirror isa)15 cmb)- 15 cmc)30 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?
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