If the radius of curvature of a lens is 20 cm, what is the focal length of the l

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Question: If the radius of curvature of a lens is 20 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?

Options:

10 cm
15 cm
20 cm
30 cm

Correct Answer: 10 cm

Solution:

Using the lens maker\'s formula, f = R/(n-1) = 20/(1.5-1) = 40 cm.

If the radius of curvature of a lens is 20 cm, what is the focal length of the l

Practice Questions

If the radius of curvature of a lens is 20 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?

10 cm
15 cm
20 cm
30 cm

Questions & Step-by-Step Solutions

If the radius of curvature of a lens is 20 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 20 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, which is f = R / (n - 1).
Step 4: Substitute the values into the formula: f = 20 / (1.5 - 1).
Step 5: Calculate the denominator: 1.5 - 1 = 0.5.
Step 6: Now substitute this value back into the formula: f = 20 / 0.5.
Step 7: Perform the division: 20 divided by 0.5 equals 40.
Step 8: Therefore, the focal length (f) of the lens is 40 cm.

Lens Maker's Formula – The formula used to calculate the focal length of a lens based on its radius of curvature and the refractive index of the material.

If the radius of curvature of a lens is 20 cm, what is the focal length of the l

What’s inside this PDF?

If the radius of curvature of a lens is 20 cm, what is the focal length of the l

Practice Questions

Questions & Step-by-Step Solutions

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