Answer:
The speed of the electron is v = 1.01 x 10¹⁵ m/s
Explanation:
Given data,
The mass of the electron, m = 9.11 x 10⁻³¹ kg
The radius of the circle, r = 2.00 x 10⁻² m
The force acting on electron, F = 4.60 x 10⁻¹⁴ N
The speed of the electron, v = ?
The centripetal force of the electron is given by
F = mv² / r
∴ v² = Fr/m
v =√(Fr/m)
Substituting the given values in the above equation,
v =√( 4.60 x 10⁻¹⁴ x 2.00 x 10⁻² / 9.11 x 10⁻³¹ )
v = 1.01 x 10¹⁵ m/s
Hence, the speed of the electron is v = 1.01 x 10¹⁵ m/s
