According to the wave-particle duality of matter by de-Broglie, which of the following graph plots presents the most…
Structure of Atom · Class 11 · JEE Main Previous Year Question
According to the wave-particle duality of matter by de-Broglie, which of the following graph plots presents the most appropriate relationship between wavelength of electron () and momentum of electron ()?
- a✓
- b
- c
- d
🧠 The Inverse Pulse De Broglie's relationship () is a classic inverse proportion. As momentum () goes up, wavelength () comes down.
🗺️ The Coordinate Logic
- The Equation: . In mathematics, this generates a rectangular hyperbola.
- Verification: Unlike a straight line, a hyperbola never touches the axes; it asymptotically approaches them. Momentum can be very large, but wavelength never hits true zero.
⚡ The Identifier Whenever you see a product of variables equal a constant (), the graph in the first quadrant is always that characteristic "L-curve."
⚠️ Common Traps A linear downward slope is wrong! That would imply , which contradicts the theory.
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