First slide

Debroglies wave theory

Question

Two matter waves A and B have same magnitude of wavelength. If mass of B is four times that of A then the velocity of A must be ……

Easy

A

Twice that of B
B

Half of that of B
C

Four times that of B
D

One fourth of that of B

Solution

$λ = \frac{h}{mv}; Given λ_{A} = λ_{B}; Thus m_{A} v_{A} = m_{B} v_{B}; since h is a constant . 1 \times v_{A} = 4 \times v_{B}$

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