Did you know?
Your heart beats ~100,000 times a day ā roughly 3 billion beats in a lifetime.
Did you know?
Your heart beats ~100,000 times a day ā roughly 3 billion beats in a lifetime.
An electron falls from rest through a vertical distance in a uniform and vertically upward directed electric field The direction of the electric field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance The time of fall of the electron, in comparison to the time of fall of the proton is
10 times greater
5 times greater
smaller
equal
To solve this problem, we need to analyze the motion of both the electron and the proton in the electric field.Given:⢠An electron falls from rest through a distance in a uniform electric field ⢠The electric field is reversed, and a proton falls from rest through the same distance The force on a charged particle in an electric field is given by where is the charge.For the electron:⢠Charge (where is the elementary charge)⢠Mass of the electron.⢠Force on the electron ⢠Acceleration of the electron For the proton:⢠Charge ⢠Mass of the proton.⢠Force on the proton ⢠Acceleration of the proton The time of fall for an object under constant acceleration is given by the equation:Time of fall for the electron:Time of fall for the proton:To compare and we take the ratio:The mass of the electron is much smaller than the mass of the proton Therefore, is much smaller than 1.Thus, the time of fall of the electron is smaller than the time of fall of the proton.This corresponds to Option 3: smaller.
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