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If the radius of curvature of a lens is 30 cm, what is the focal length of the l

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Question: If the radius of curvature of a lens is 30 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?

Options:

  1. 10 cm
  2. 15 cm
  3. 20 cm
  4. 25 cm

Correct Answer: 15 cm

Solution: 

Using the lens maker\'s formula, f = R/(n-1) = 30/(1.5-1) = 30/0.5 = 60 cm.

If the radius of curvature of a lens is 30 cm, what is the focal length of the l

Practice Questions

Q1
If the radius of curvature of a lens is 30 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?
  1. 10 cm
  2. 15 cm
  3. 20 cm
  4. 25 cm

Questions & Step-by-Step Solutions

If the radius of curvature of a lens is 30 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?
  • Step 1: Identify the radius of curvature (R) of the lens, which is given as 30 cm.
  • Step 2: Identify the refractive index (n) of the lens material, which is given as 1.5.
  • Step 3: Use the lens maker's formula: f = R / (n - 1).
  • Step 4: Substitute the values into the formula: f = 30 / (1.5 - 1).
  • Step 5: Calculate the denominator: 1.5 - 1 = 0.5.
  • Step 6: Substitute the denominator back into the formula: f = 30 / 0.5.
  • Step 7: Perform the division: 30 divided by 0.5 equals 60.
  • Step 8: Conclude that the focal length (f) of the lens is 60 cm.
  • Lens Maker's Formula – The formula used to determine the focal length of a lens based on its radius of curvature and the refractive index of the material.
  • Refractive Index – A measure of how much light bends when entering a material, which affects the focal length of the lens.
  • Radius of Curvature – The distance from the lens surface to the center of curvature, which is crucial in calculating the focal length.
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