If a concave lens has a focal length of -15 cm, what is its power?

Practice Questions

Q1
If a concave lens has a focal length of -15 cm, what is its power?
  1. -6.67 D
  2. 6.67 D
  3. -15 D
  4. 15 D

Questions & Step-by-Step Solutions

If a concave lens has a focal length of -15 cm, what is its power?
  • Step 1: Understand that the focal length (f) of the lens is given as -15 cm. The negative sign indicates that it is a concave lens.
  • Step 2: Convert the focal length from centimeters to meters. Since 1 cm = 0.01 m, -15 cm = -0.15 m.
  • 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 focal length into the formula: P = 1/(-0.15).
  • Step 5: Calculate the power: P = -6.67 D (diopters). The negative sign indicates that it is a concave lens.
  • Lens Power – The power of a lens is the reciprocal of its focal length, measured in meters. For concave lenses, the focal length is negative, resulting in a negative power.
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