Translate from latex format The radius of each zone can be calculated as follows:For the first level (R1), the radius can be calculated using the equation:R1 = (^_eff/2n) * (m + 1/2) = (2.41 x 10^-4 / 2π) *(1 + 1/2) = 0.038 cmFor the second level (R), the radius can be calculated using the equation:R=(A_eff/2π) * (m + 1/2) = (2.41 x 10^-4/2)* (2 + 1/2) = 0.076 cmThe spot size of the lens can be calculated using the formula:spot size=2* A_eff * f / (π * R1^2) = 2 * 2.41 x 10^-4 * 10 / (π * (0.038)^2) = 0.045 cmExplanation:The efficiency of the lens can be calculated using the formula:efficiency = (4/T^2) * (m + 1/2)^2/m^2 = (4 / π^2) *(1 + 1/2)^2/1^2 = 0.397

Given Data: A few equations are given. To Determine: To translate the given equations.

The radius of each zone can be calculated as follows: For the first level (R1), the radius can be calculated using the equation: R1 = (A_eff / 2π) * (m + 1/2) = (2.41 x 10^-4/2)*(1+1/2) = 0.038 cm For the second level (R), the radius can be calculated using the equation: R = (^_eff/2π) * (m + 1/2) = (2.41 x 10^-4/2)* (2 + 1/2) = 0.076 cm The spot size of the lens can be calculated using the formula: spot size=2* A_eff* f/(m* R1^2) = 2 * 2.41 x 10^-4 * 10 / (π * (0.038)^2) = 0.045 cm Explanation: The efficiency of the lens can be calculated using the formula: efficiency = (4/π^2) * (m + 1/2)^2/m^2 = (4 / 1^2) *(1 + 1/2)^2 / 1^2 = 0.397

The radius of each zone can be calculated as follows: For the first level (R1), the radius can be calculated using the equation: R1 = (A_eff / 2π) * (m + 1/2) = (2.41 x 10^-4/2)(1+1/2) = 0.038 cm For the second level (R), the radius can be calculated using the equation: R = (^_eff/2π) (m + 1/2) = (2.41 x 10^-4/2)* (2 + 1/2) = 0.076 cm The spot size of the lens can be calculated using the formula: spot size=2* A_eff* f/(m* R1^2) = 2 * 2.41 x 10^-4 * 10 / (π * (0.038)^2) = 0.045 cm Explanation: The efficiency of the lens can be calculated using the formula: efficiency = (4/π^2) * (m + 1/2)^2/m^2 = (4 / 1^2) *(1 + 1/2)^2 / 1^2 = 0.397

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter1: Measurement

Section: Chapter Questions

Problem 12MC

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