An object is placed in front of a convex lens of focal length . At what distance from the lens (in cm) is the image formed?

Answer and explanation

Correct answer: C. 40/3

  1. Step 1: Apply the thin lens formula with Cartesian conventions: and .
  2. Step 2: Rearrange to solve for reciprocal image distance: .
  3. Step 3: Calculating the difference and taking the reciprocal yields .
Answer
40/3.
Why not the others: 8 results from adding reciprocals with an incorrect sign convention (); 50 simply adds object distance and focal length (); 70/3 is an arithmetic error in common denominator subtraction.

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