Question

What is the velocity of a electron whose wavelength is 100 pm?

Answer 1

v = 7.3 × 10⁶ m/s

Step-by-step explanation:

Given data:

Velocity of electron = ?

Wavelength = 100 pm (100 ×10⁻¹² m)

Solution:

Formula:

λ = h/mv

λ = wavelength

h = planck's constant

m = mass

v = velocity

Now we will put the values in formula.

100 ×10⁻¹² m = 6.63 × 10⁻³⁴ j.s / 9.109 × 10⁻³¹ kg × v

j = kg m²/s²

v = 6.63 × 10⁻³⁴ kg.m²/s / 9.109 × 10⁻³¹ kg ×100 ×10⁻¹² m

v = 6.63 × 10⁻³⁴ m/s /910.9 × 10⁻⁴³

v = 0.0073 × 10⁹ m/s

v = 7.3 × 10⁶ m/s