Determine the angular resolution of a mobile phone camera lens of diameter 2.0 mm atwavelength of 600 nm
Question
Determine the angular resolution of a mobile phone camera lens of diameter 2.0 mm atwavelength of 600 nm
Solution
The angular resolution of a lens can be determined using the formula for the Rayleigh criterion, which is given by:
θ = 1.22 * (λ/D)
where:
- θ is the angular resolution,
- λ is the wavelength of light, and
- D is the diameter of the lens.
Given that the diameter D of the mobile phone camera lens is 2.0 mm and the wavelength λ of light is 600 nm, we first need to convert these values into the same units.
1 mm = 1,000,000 nm, so D = 2.0 mm = 2,000,000 nm.
Now we can substitute these values into the formula:
θ = 1.22 * (600 nm / 2,000,000 nm) = 0.000366 rad
To convert radians to degrees (since angular resolution is often expressed in degrees), we use the conversion factor 180/π:
θ = 0.000366 rad * (180/π) = 0.021 degrees
So, the angular resolution of the mobile phone camera lens is approximately 0.021 degrees.
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