A convex lens has a focal length of 20 cm. What is the power of the lens?

Practice Questions

Q1
A convex lens has a focal length of 20 cm. What is the power of the lens?
  1. -5 D
  2. 5 D
  3. 20 D
  4. 0.05 D

Questions & Step-by-Step Solutions

A convex lens has a focal length of 20 cm. What is the power of the lens?
  • Step 1: Understand that the power of a lens is calculated using the formula P = 1/f, where P is the power in diopters (D) and f is the focal length in meters.
  • Step 2: Convert the focal length from centimeters to meters. Since the focal length is given as 20 cm, we convert it to meters by dividing by 100. So, 20 cm = 20/100 = 0.2 m.
  • Step 3: Substitute the focal length in meters into the power formula. Now we have P = 1/0.2.
  • Step 4: Calculate the power. 1 divided by 0.2 equals 5. Therefore, P = 5 D.
  • Lens Formula – Understanding the relationship between focal length and power of a lens.
  • Unit Conversion – Converting focal length from centimeters to meters to calculate power.
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