Question

What is the de – Broglie wavelength of a ball of mass 150 g moving at a speed of 50 m/s?

(a) 8.8 × 10^-34  m

(b) 8.8 × 10^-30  m

(c) 8.8 × 10^-25  m

(d) 8.8 × 10^-35  m

This question was addressed to me by my college professor while I was bunking the class.

My question is from Wave Nature of Matter topic in section Dual Nature of Radiation and Matter of Physics – Class 12

Answer 1

Right choice is (d) 8.8 × 10^-35  m

Easiest explanation: Given: m = 150 g; v = 50 m/s

The required equation ➔ λ=\(\frac {h}{p} = \frac {h}{mv}\)

λ=\(\frac {6.6 \times 10^{-34}}{150 \times 10^{-3} \times 50}\)

λ=8.8 × 10^-35  m