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

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?

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.