Minimum angle of resolution s 22 y/d where y is the wavelength of light passing through A lens of diameter D and Resolution power = 1/a. The formula for the relation of R and D is?
Answer: R= D/ 22y λ
Explanation
The minimum angle of resolution (θ) for a lens of diameter (D) and light of wavelength (λ) passing through it can be expressed as:
𝜃= 1.22 𝜆 / 𝐷
Where:
𝜆 is the wavelength of light
𝐷 is the diameter of the lens
The resolution power (R) is defined as the reciprocal of the angle of resolution:
𝑅 = 1 / 𝜃
Substituting the expression for 𝜃 into the equation for resolution power (R):
𝑅 = 1 / 1.22 𝜆 / 𝐷
Simplifying this expression:
𝑅 = 𝐷 / 1.22 𝜆
So, the formula for the relation between resolution power (R) and the diameter of the lens (D) is:
𝑅 = 𝐷 / 1.22 𝜆
