What is the final speed of a free electron accelerated from rest through a potential difference of -53 V? The mass of the electron is 9.11x10-31kg. You need to express the speed in km/s.
You should round your answer to an integer, indicate only the number, do not include the unit.
Given is:-
Potential Difference
mass of the electron
Approach:- We have a system of only conservative forces (neglecting gravitational forces and air resistance), all of the electrical potential energy is converted into kinetic energy. Initially the electron is at rest thus its kinetic energy will be zero and final potential energy will be zero.
Solution:-
By conservation of energy
by putting all the values in above equation, we get
now entering the values, we get
or
Rounded answer = 4314
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