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