NEET 2024 · PhysicsMatter wavePrevious Year Question
The graph which shows the variation of (1/λ)² and the kinetic energy E of a free particle (where λ is the de Broglie wavelength of the particle) is:
Answer: (C) (see figure). Answer: (c) Solution: λ = h/p and E = p²/2m ⇒ p = √(2mE), so (1/λ)² = p²/h² = (2m/h²)·E.
- A.(see figure)
- B.(see figure)
- C.(see figure)✓
- D.(see figure)
Correct Answer
(C) (see figure)
Solution & Explanation
Answer: (c) Solution: λ = h/p and E = p²/2m ⇒ p = √(2mE), so (1/λ)² = p²/h² = (2m/h²)·E. Thus (1/λ)² is directly proportional to E — a straight line passing through the origin.
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