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If the radius of curvature of a spherical mirror is 30 cm, what is its focal len

Practice Questions

Q1
If the radius of curvature of a spherical mirror is 30 cm, what is its focal length?
  1. 10 cm
  2. 15 cm
  3. 20 cm
  4. 30 cm

Questions & Step-by-Step Solutions

If the radius of curvature of a spherical mirror is 30 cm, what is its focal length?
  • Step 1: Understand that the radius of curvature (R) is the distance from the mirror's surface to its center of curvature.
  • Step 2: Know that the focal length (f) of a spherical mirror is related to the radius of curvature by the formula f = R / 2.
  • Step 3: Substitute the given radius of curvature (R = 30 cm) into the formula: f = 30 cm / 2.
  • Step 4: Calculate the focal length: f = 15 cm.
  • Focal Length of Spherical Mirrors – The focal length (f) of a spherical mirror is half of its radius of curvature (R), expressed as f = R/2.
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