Calculate the wavelength of an electron (m = 9.11 x 10-28 g) moving at 3.66 x 100 m/s. A) 1.81 x 10-10 m B) 2.76 x 10-9 m C) 5.03 x 10-10 m D) 5.52 x 10-9 m E) 1.99 x 10-10 m

option e = 1.99 * 10⁻⁶ m

Explanation:

Given dа ta:

Mass of electron = 9.11 * 10⁻²⁸ g or 9.11 * 10⁻³¹ Kg

Velocity = 3.66 * 100 m/s

Wavelength = ?

Solution:

Formula:

λ = h / m. v

λ = wavelength

h = planck's constant

m = mass

v = velocity

Now we will put the values in equation

λ = h / m. v

λ = 6.63 * 10⁻³⁴ Kg. m²/s / 3.66 * 100 m/s. 9.11 * 10⁻³¹ Kg

λ = 6.63 * 10⁻³⁴ Kg. m²/s / 3334.26 * 10⁻³¹ Kg. m/s

λ = 1.99 * 10⁻⁶ m