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If the radius of curvature of a convex mirror is 20 cm, what is its focal length

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Question: If the radius of curvature of a convex mirror is 20 cm, what is its focal length? (2022)

Options:

  1. 10 cm
  2. 20 cm
  3. 30 cm
  4. 40 cm

Correct Answer: 10 cm

Exam Year: 2022

Solution: 

The focal length (f) of a mirror is given by f = R/2. For a convex mirror, R is positive, so f = 20 cm / 2 = 10 cm.

If the radius of curvature of a convex mirror is 20 cm, what is its focal length

Practice Questions

Q1
If the radius of curvature of a convex mirror is 20 cm, what is its focal length? (2022)
  1. 10 cm
  2. 20 cm
  3. 30 cm
  4. 40 cm

Questions & Step-by-Step Solutions

If the radius of curvature of a convex mirror is 20 cm, what is its focal length? (2022)
  • Step 1: Understand that the radius of curvature (R) of the convex mirror is given as 20 cm.
  • Step 2: Recall the formula for the focal length (f) of a mirror, which is f = R/2.
  • Step 3: Since the mirror is convex, we consider the radius of curvature (R) as positive.
  • Step 4: Substitute the value of R into the formula: f = 20 cm / 2.
  • Step 5: Calculate the focal length: f = 10 cm.
  • Focal Length of Mirrors – The relationship between the radius of curvature (R) and the focal length (f) of mirrors, specifically that f = R/2.
  • Convex Mirror Properties – Understanding that for convex mirrors, the radius of curvature is considered positive.
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