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Convex lens produces a real image of same size as the object when the object is placed
at a distance of 20cm from the lens. Calculate the power of the lens?
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Convex lens produces a real image of same size as the object when the ...
Calculation of Power of Convex Lens
  • Given: The object is placed at a distance of 20 cm from the convex lens, and a real image of the same size as the object is formed.
  • Formula: The formula to calculate the power of a lens is P = 1/f, where P is the power of the lens in diopters and f is the focal length of the lens in meters.
  • Calculation: Since the image is of the same size as the object, the magnification is 1. Therefore, the image distance (v) is equal to the object distance (u).
  • Using the lens formula: 1/f = 1/v - 1/u
  • Substitute the values: 1/f = 1/0.20 - 1/-0.20 (since the object distance is -20 cm)
  • Solving the equation: 1/f = 10 - (-10) = 20
  • Therefore: The focal length (f) of the lens is 0.20 meters.
  • Calculating the power: P = 1/f = 1/0.20 = 5 diopters


By following the above steps, we can calculate the power of the convex lens, which is found to be 5 diopters.
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Convex lens produces a real image of same size as the object when the object is placed at a distance of 20cm from the lens. Calculate the power of the lens?
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