A biconvex lens has a radius of curvature of 10 cm on both sides. What is its fo

Practice Questions

Q1
A biconvex lens has a radius of curvature of 10 cm on both sides. What is its focal length?
  1. 5 cm
  2. 10 cm
  3. 15 cm
  4. 20 cm

Questions & Step-by-Step Solutions

A biconvex lens has a radius of curvature of 10 cm on both sides. What is its focal length?
  • Step 1: Identify the radius of curvature (R) of the lens. In this case, R = 10 cm.
  • Step 2: Identify the refractive index (n) of the lens material. For this lens, n = 1.5.
  • Step 3: Use the lens maker's formula: f = R / (2(n - 1)).
  • Step 4: Substitute the values into the formula: f = 10 / (2(1.5 - 1)).
  • Step 5: Calculate the value inside the parentheses: 1.5 - 1 = 0.5.
  • Step 6: Multiply by 2: 2 * 0.5 = 1.
  • Step 7: Divide R by this result: f = 10 / 1.
  • Step 8: Calculate the final result: f = 10 cm.
  • Lens Maker's Formula – The formula used to calculate the focal length of a lens based on its radii of curvature and the refractive index.
  • Biconvex Lens Properties – Understanding the characteristics of a biconvex lens, including how it converges light and its symmetrical properties.
  • Refractive Index – The measure of how much light bends when entering a material, which affects the focal length of the lens.
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