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

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Question: A biconvex lens has a radius of curvature of 10 cm on both sides. What is its focal length?

Options:

Correct Answer: 10 cm

Solution:

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

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

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.