Question

An electron is released from rest at a distance d = 100 m from an infinite conducting plane. The electron will begin to move towards the plane due to charge induction in the plane. How long will take for the electron to strike the plane?

Answer 1

Answer:

t=89.44 sec

Explanation:

Given that

d= 100 m

Mass of electron

$m=9.11\times 10^{-31}kg$

Force acting on electron

$F=\dfrac{Kq^2}{d^2}$

Now by putting the values of K and charge on electron

$F=\dfrac{Kq^2}{d^2}$

$F=\dfrac{9\times 10^9(1.6\times 10^{-19})^2}{100^2}$

$F=2.3\times 10^{-32}$

As we know that

F= m a

So acceleration of electron

a=F/m

$a=\dfrac{2.3\times 10^{-32}}{9.11\times 10^{-31}}\ m/s^2$

$a=0.025\ m/s^2$

We know that

$S=ut+\dfrac{1}{2}at^2$

here electron move from rest so u= 0

$100=\dfrac{1}{2}\times 0.025^2\times t^2$

t=89.44 sec

So time taken by electron is 89.44 sec.