If particles are moving with same velocity, then De-Broglie wavelength is maximum for : -
A
Proton
B
$\alpha$-particle
C
Neutron
D
$\beta$-particle
The answer is D.
Solution
de Broglie wavelength: $\lambda = \dfrac{h}{mv}$ For the same velocity, $\lambda \propto \dfrac{1}{m}$; the lightest particle has the longest wavelength. Masses: $\alpha$-particle $\approx$ 4 u, proton $\approx$ 1 u, neutron $\approx$ 1 u, $\beta$-particle (electron) $\approx \dfrac{1}{1837}$ u. The $\beta$-particle (electron) has the smallest mass. So the de Broglie wavelength is maximum for the $\beta$-particle.
ConceptWavelength inversely proportional to mass
de Broglie Wavelength in past papers
14 questions from this chapter have appeared across 11 exam years.