What is the magnification produced by a convex lens if the object is placed at twice the focal length?

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Q: What is the magnification produced by a convex lens if the object is placed at twice the focal length?

Solution: Magnification (m) = v/u. For an object at 2f, the image distance v = 2f, so m = 2f/(2f) = 1.

Steps: 7

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.