Question

When an electron is accelerated
of x volts, its wavelength is
found to be 4.086A the value of x ​

Answer 1

Given:

• The wavelength of the electron (λ) = 4.086 A⁰ = 4.086*10⁻¹⁰ m
• The charge possessed by an electron (e) = 1.6*10⁻¹⁹ C
• The value of Planck's constant = 6.62*10⁻³⁴ Js
• The speed of light (c) = 3*10⁸ m/s

To find:

The value of the potential (x) through which the electron has been accelerated.

Solution:

• According to conservation of energy, e*x = h*c/λ ⇒ x = (h*c)/(λ*e) = 3.03*10³ V

Answer:

The value of the potential through which the electron has been accelerated is equal to 3.03*10³ V