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If the radius of curvature of a convex mirror is 30 cm, what is its focal length

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Question: If the radius of curvature of a convex mirror is 30 cm, what is its focal length?

Options:

  1. 10 cm
  2. 15 cm
  3. 20 cm
  4. 30 cm

Correct Answer: 15 cm

Solution:

The focal length f of a mirror is given by f = R/2. For a convex mirror, R = 30 cm, so f = 30/2 = 15 cm.

If the radius of curvature of a convex mirror is 30 cm, what is its focal length

Practice Questions

Q1
If the radius of curvature of a convex 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 convex mirror is 30 cm, what is its focal length?
  • Step 1: Understand that the radius of curvature (R) of the convex mirror is given as 30 cm.
  • Step 2: Recall the formula for the focal length (f) of a mirror, which is f = R/2.
  • Step 3: Substitute the value of R into the formula: f = 30 cm / 2.
  • Step 4: Calculate the focal length: f = 15 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 for convex mirrors.
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