My Learning Cart
?
Categories
Account

A double convex lens has a focal length of 10 cm. If it is made of a material wi

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A double convex lens has a focal length of 10 cm. If it is made of a material with a refractive index of 1.5, what is the radius of curvature of each surface assuming they are equal?

Options:

  1. 15 cm
  2. 20 cm
  3. 25 cm
  4. 30 cm

Correct Answer: 20 cm

Solution: 

Using the lens maker\'s formula, R = 2f(n-1) = 2*10*(1.5-1) = 20 cm.

A double convex lens has a focal length of 10 cm. If it is made of a material wi

Practice Questions

Q1
A double convex lens has a focal length of 10 cm. If it is made of a material with a refractive index of 1.5, what is the radius of curvature of each surface assuming they are equal?
  1. 15 cm
  2. 20 cm
  3. 25 cm
  4. 30 cm

Questions & Step-by-Step Solutions

A double convex lens has a focal length of 10 cm. If it is made of a material with a refractive index of 1.5, what is the radius of curvature of each surface assuming they are equal?
  • Step 1: Understand the problem. We have a double convex lens with a focal length (f) of 10 cm and a refractive index (n) of 1.5.
  • Step 2: Recall the lens maker's formula, which is R = 2f(n - 1). This formula helps us find the radius of curvature (R) of the lens surfaces.
  • Step 3: Substitute the values into the formula. We have f = 10 cm and n = 1.5.
  • Step 4: Calculate (n - 1). This is 1.5 - 1 = 0.5.
  • Step 5: Multiply f by 2 and then by (n - 1). This gives us 2 * 10 * 0.5.
  • Step 6: Perform the multiplication. 2 * 10 = 20, and then 20 * 0.5 = 10.
  • Step 7: Therefore, R = 10 cm. This is the radius of curvature for each surface of the lens.
  • Lens Maker's Formula – The formula relates the focal length of a lens to the radii of curvature of its surfaces and the refractive index of the material.
  • Refractive Index – A measure of how much light bends when entering a material, affecting the lens's focal length.
  • Focal Length – The distance from the lens where parallel rays of light converge, determined by the lens's shape and material.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks