Answer:
a. 1000ev.
b. 1.602×10⁻¹⁶ Joules.
c. 3.52× 10¹⁴ m/s
Explanation:
(a)
Kinetic Energy of the electron in Electron volt = eV
Ek = eV...................... Equation 1
Where Ek = Kinetic Energy of the electron in electron volt, V = potential difference of the electron, e = charge of electron.
Given: V = 1000 V,
Substituting these values into equation 1,
Ek = 1000 eV
(b) Kinetic Energy in Joules
Ek = eV
Where e = 1.602 × 10⁻¹⁹ joules, V =1000 V,
Ek = 1.602 × 10⁻¹⁹×1000
Ek = 1.602×10⁻¹⁶ Joules.
(c) Ek = 1/2mv²
m = √(2Ek/m)........................... Equation 2
Where m = mass of the electron, v = velocity of the electron.
Given: Ek = 1.602×10⁻¹⁶
Constant: m = 9.11×10⁻³¹ kg.
Substituting into equation 2
v = √(2×1.602×10⁻¹⁶/9.11×10⁻³¹)
v = 3.52× 10¹⁴ m/s
