Question

An electron is rotating around an infinite positive linear charge in a circle of radius 0.1cm, if the linear charge density is 1 microcoulomb/metre, then the velocity of electron in m/s will be.....


answer my question please

Answer 1

Hey There!

The answer is in the image.

Hope it helps,
Purva
Brainly Community

Answer 2

Hello dear,

● Answer -
v = 5.657×10^7 m/s

● Explaination -
# Given -
e = 1.6×10^-19 C
λ = 10^-6 C/m
r = 10^-3 m
m = 9×10^-31 kg

# Solution -
For an electron rotating in electric field,
Electrical force = Centrifugal force
keQ / r^2 = mv^2 / r

Substituting, Q = λ.2r
ke(λ.2r) / r^2 = mv^2 / r
v^2 = 2eλk / m

Putting values,
v^2 = 2 × 1.6×10^-19 × 10^-6 × 9×10^9 / (9×10^-31)
v^2 = 3.2×10^15

Taking square root,
v = 5.657×10^7 m/s


Hope this helps you.