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The energy gained by an electron as it is accelerated by an electric field is equal to the work done by the electric field itself, and this is equal to the product between the charge of the electron and the potential difference across which the electron traveled:
(1)
where e is the electron charge, and
is the potential difference between the initial and the final point of the electron, and this is equal to
(2)
where E is the intensity of the electric field and d is the distance covered by the electron. If we substitute (2) into (1), we find a final expression for the energy gained by the electron
where e is the electron charge, and
where E is the intensity of the electric field and d is the distance covered by the electron. If we substitute (2) into (1), we find a final expression for the energy gained by the electron
Answer:
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Explanation:
The data given in the problem
Diameter of a human pupil=0.007 m=7 mm
Diameter of alien pupil=0.5=500 mm
Here we have to calculate the minimum distance at which the alien can see Betelgeuse i.e. the focal length (or the working distance). For this calculation we assume the eye to be a spherical lens.
The focal length and diameter of the lens are related by the formula Where r is radius of curvature i.e. d/2
Therefore for the alien, focal length==12.5mm=0.0125