Question

The masses of two particles having same kinetic energies are in the ratio \(2 : 1\). Then their de Broglie wavelengths are in the ratio.

• A. \(2:1\)
• B. \(1:2\)
• C. \(\sqrt{2}:1\)
• D. \(1:\sqrt{2}\)

Hint:

Proportionalities for de Broglie wavelength \(\lambda\):
• For same velocity \(v\): \(\lambda \propto \frac{1}{m}\)
• For same kinetic energy \(K\): \(\lambda \propto \frac{1}{\sqrt{m}}\)
• For same accelerating potential \(V\): \(\lambda \propto \frac{1}{\sqrt{mq}}\)

Answer 1

The Correct Option is D