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 ( ) and momentum of electron (p)?
- [figure]
- [figure]
- [figure]
- [figure]
Answer
(4) [figure]
Solution
de Broglie: = hp ⇒ p = h (constant)
⇒ vs p: rectangular hyperbola; vs 1/p: straight line through origin
(A): vs 1/p drawn as a curve ⇒ (A) is wrong
(B), (C): straight lines mean p ∝ ⇒ (B), (C) are wrong
(D): vs p hyperbola ⇒ (D) is correct
Answer: (4)