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A double convex lens has a radius of curvature of 20 cm on both sides. What is i
A double convex lens has a radius of curvature of 20 cm on both sides. What is its focal length if the refractive index is 1.5?
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Q1
A double convex lens has a radius of curvature of 20 cm on both sides. What is its focal length if the refractive index is 1.5?
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25 cm
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Using the lens maker's formula, f = R/(n-1), we find f = 20/(1.5-1) = 40 cm.
Questions & Step-by-step Solutions
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Q
Q: A double convex lens has a radius of curvature of 20 cm on both sides. What is its focal length if the refractive index is 1.5?
Solution:
Using the lens maker's formula, f = R/(n-1), we find f = 20/(1.5-1) = 40 cm.
Steps: 7
Show Steps
Step 1: Understand that we are using the lens maker's formula, which is f = R / (n - 1).
Step 2: Identify the values we have: the radius of curvature (R) is 20 cm and the refractive index (n) is 1.5.
Step 3: Substitute the values into the formula: f = 20 / (1.5 - 1).
Step 4: Calculate the denominator: 1.5 - 1 = 0.5.
Step 5: Now substitute this value back into the formula: f = 20 / 0.5.
Step 6: Perform the division: 20 divided by 0.5 equals 40.
Step 7: Conclude that the focal length (f) of the lens is 40 cm.
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