Wave Nature of Matter Challenge
25 NEET-standard questions on the de Broglie hypothesis, wavelength of electrons and everyday objects, particles accelerated through a potential, and wave-particle duality. Answer each one. If you get it wrong, Vidya Ma’am explains it with an animated movie you can control, a slider to play with, and a step-by-step solution. Then try again.
NCERT Physics XII Part II · Ch. 11 · pp. 284–289Keys: A–D or 1–4 to answer
🧠 Formula memory tricks (open before you start)
De Broglie relationλ = h/p = h/(mv)h = 6.63×10⁻³⁴ J s · λ is smaller for heavier or faster particles
Electron through V voltsλ = 1.227/√V nmgeneral: λ = h/√(2mqV) · more V, shorter λ
Everyday objectsλ ≈ 10⁻³⁴ m for a ballfar too small to measure; no wave behaviour seen
Charge does not matterλ depends on momentum onlysame p gives the same λ for any particle
Photonh/p = c/ν = λphoton: E = pc, λ ∝ 1/E; electron: E = p²/2m, λ ∝ 1/√E
Group velocityMatter wave: group velocity = particle velocityphase velocity has no physical meaning
right first tryfixed after explanationstill to fix
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