Question:

The focal length of a convex lens is 20 cm. What is its power?

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The power (\(P\)) of a lens is calculated using \(P = \frac{100{f\). A convex lens has positive power, while a concave lens has negative power.
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Solution and Explanation

Step 1: Understanding lens power formula
The power (\(P\)) of a lens is given by the formula: \[ P = \frac{100}{f} \] where: - \( P \) = power of the lens (in diopters, \(D\)), - \( f \) = focal length of the lens (in centimeters).
Step 2: Substituting the given values
The given focal length is: \[ f = 20 \text{ cm} = 0.20 \text{ m} \] Applying the formula: \[ P = \frac{100}{20} = 5D \]
Step 3: Determining the sign of power
- A convex lens has a positive focal length, so the power is positive. - Thus, the final answer is: \[ \mathbf{+5D} \] Thus, the power of the convex lens is +5 diopters (D).
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