De Broglie’s standing electron wave on a Bohr orbit (n = 4)बोर कक्षा पर दे ब्रॉग्ली की अप्रगामी इलेक्ट्रॉन तरंग (n = 4)De Broglie’s standing electron wave on a Bohr orbit (n = 4)

NCERT Fig 12.8 · Class 12 Physics · Chapter 12 · interactive diagram

Parts and what they mean

• Standing wave that fits (n = 4) (फ़िट होने वाली अप्रगामी तरंग (n = 4)) — Exactly 4 de Broglie wavelengths fit in the circumference: 2πr = 4λ. The wave meets itself in step and survives.
• Wave that does not fit (फ़िट न होने वाली तरंग) — If 2πr is not a whole number of wavelengths, each new round is out of step with the last (dashed) and the wave cancels itself — no stable orbit.
• One de Broglie wavelength λ (एक दे ब्रॉग्ली तरंगदैर्घ्य λ) — λ = h/mv (Chapter 11). Putting 2πr = nλ gives mvr = nh/2π — Bohr’s second postulate.
• Bohr orbit (बोर कक्षा) — Circle of radius r around the nucleus.
• Orbit with a non-fitting wavelength (न समाने वाली तरंगदैर्घ्य की कक्षा) — Same circle, but the wavelength does not divide its circumference.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 12.8. Report a mistake