According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron (λ) and momentum of electron (p)?
(A)(see structure)✓ Correct
(B)(see structure)
(C)(see structure)
(D)(see structure)
Answer: (A)
Solution
By de Broglie's relation, λ=ph, so λ∝p1, i.e. λp=h= constant. A plot of λ (y-axis) against p (x-axis) is therefore a rectangular hyperbola — the curve that decreases and approaches both axes asymptotically, matching option (1).
JEE Main · 2024 · 01 Feb 2024 · Shift 1 · Single correct option