First slide

Matter waves (DC Broglie waves)

Question

If de Broglie wavelength of an electron and a position are same, then which quantity / quantities will be the same for both?

Moderate

A

Accelerating potential
B

kinetic energy
C

Linear momentum
D

All of the above are correct

Solution

$λ = \frac{h}{p} \Rightarrow p = \frac{h}{λ}$
Again, $\frac{p^{2}}{2 m} = E \Rightarrow E = \frac{h^{2}}{2 m λ^{2}}$
Also, kinetic energy E = eV
Hence option - (4) is right.

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