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Physics Electrostatics Potential & Capacitance General MCQ (Single Correct)

The potential difference between two large parallel plates is varied as v = at; a is a positive constant and t is time. An electron starts from rest at t = 0 from the plate which is at lower potential. If the distance between the plates is L, mass of electron m and charge on electron -e then find the velocity of the electron when it reaches the other plate.

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The correct answer is:
CHECK THE SOLUTION.

V =

Sol.

Figure shows two parallel plates electric field between plates E = V/d

⇒ E =

force on electron = qE = ,

So acceleration of e – =

By acceleration = ; (v = velocity)

=

⇒ dv = dt

=

⇒ v =

Again, v = = ...(1)

=

⇒ L =

∴ t =

putting in eqn. (1)

v = = ; v =

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