Question

An electron is accelerated through a potential difference of 1000 volts. Its velocity is nearly
(a) 3.8 × 10⁷ m / s
(b) 1.9 × 10⁶ m / s
(c) 1.9 × 10⁷ m / s
(d) 5.7 × 10⁷ m / s

Answer 1

Here you go with the answer

Answer 2

Answer:

1.9 × 10⁷ m/s

Explanation:

Potential difference of the electron = 1000 volts (Given)

Potential difference is the difference of an electrical potential between two points. If the voltage is given as v, then the energy of electron will be

= 1/2mv²

= ev = v = √2eV/m

Thus,

= √ 2 × 1.6 × 10`19 × 1000 / 9.1 × 10`31

= 1.875 × 10⁷

= 1.9 × 10⁷ m/s

Therefore, if an electron is accelerated through a potential difference of 1000 volts. Its velocity is nearly 1.9 × 10⁷ m / s.