A diverging lens of focal length 30cm produces an image 20cm from the lens. Determine…

A diverging lens of focal length 30cm produces an image 20cm from the lens. Determine the object distance

  • A.
    10cm
  • B.
    12cm
  • C.
    50cm
  • D.
    60cm
Correct Answer: Option D
Explanation

Lens formula:

(frac{1}{f} = frac{1}{d_o} + frac{1}{d_i})

where f, d(_o) and d(_i) are the focal length, object distance and image distance respectively.

⇒ (frac{1}{30} = frac{1}{d_o} + frac{1}{20})

(frac{1}{d_o} = frac{1}{30} – frac{1}{20})

(frac{1}{d_o} = frac{-1}{60})

(d_o = – 60 cm)

The object distance = 60cm.

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