An electron falls a distance of 4 cm in a uniform electric field of magnitude The time taken by electron in falling will be-

To find the time taken by the electron to fall in a uniform electric field, we can use the equation of motion. The equation for the distance fallen in a uniform gravitational field is given by:

d = (1/2) * g * t^2

where d is the distance fallen, g is the acceleration due to gravity, and t is the time taken.

In this case, we have an electric field instead of a gravitational field. However, we can use the same equation by replacing g with the acceleration due to the electric field, which is given by:

a = E/m

where E is the magnitude of the electric field and m is the mass of the electron.

Given that the distance fallen is 4 cm and the magnitude of the electric field is E, we can rearrange the equation to solve for t:

t = sqrt((2 * d) / a)

Substituting the values, we have:

t = sqrt((2 * 4 cm) / (E/m))

Simplifying further:

t = sqrt((8 cm) / (E/m))

t = sqrt((8 cm * m) / E)

Therefore, the time taken by the electron to fall in the uniform electric field is sqrt((8 cm * m) / E).