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

Practice Questions

Q1
A thin lens has a focal length of 20 cm. What is the power of the lens?
  1. +2.5 D
  2. +5 D
  3. +10 D
  4. +15 D

Questions & Step-by-Step Solutions

A thin lens has a focal length of 20 cm. What is the power of the lens?
  • Step 1: Understand that the focal length (f) of the lens is given as 20 cm.
  • Step 2: Convert the focal length from centimeters to meters because the formula for power uses meters. 20 cm = 20/100 = 0.2 meters.
  • Step 3: Use the formula for power (P) of a lens, which is P = 1/f, where f is the focal length in meters.
  • Step 4: Substitute the value of f into the formula: P = 1/0.2.
  • Step 5: Calculate the power: P = 1/0.2 = 5.
  • Step 6: Since the lens is a thin lens, the power is positive, so we write it as +5 D (diopters).
  • Lens Power – The power of a lens is the reciprocal of its focal length measured in meters, expressed in diopters (D).
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