What is the magnification produced by a convex lens if the object is placed at t

Practice Questions

Q1
What is the magnification produced by a convex lens if the object is placed at twice the focal length?
  1. 1
  2. 2
  3. 0.5
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Questions & Step-by-Step Solutions

What is the magnification produced by a convex lens if the object is placed at twice the focal length?
  • Step 1: Understand the terms. 'f' is the focal length of the convex lens. '2f' means the object is placed at twice the focal length.
  • Step 2: Recall the formula for magnification (m), which is m = v/u, where 'v' is the image distance and 'u' is the object distance.
  • Step 3: Identify the object distance (u). Since the object is at 2f, we have u = 2f.
  • Step 4: Use the lens formula to find the image distance (v). For an object at 2f, the image distance v is also 2f.
  • Step 5: Substitute the values into the magnification formula. So, m = v/u = (2f)/(2f).
  • Step 6: Simplify the equation. (2f)/(2f) = 1.
  • Step 7: Conclude that the magnification produced by the convex lens when the object is placed at twice the focal length is 1.
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