The de-Broglie wavelength of a vehicle is λ. Its load is changed such that

Question

The de-Broglie wavelength of a vehicle is

λ

. Its load is changed such that its velocity and energy both are doubled. Its new wavelength will be

Options:

A . λ

B . λ2

C . λ4

D . 2λ

Answer: Option A
:
A

λ = \frac{h}{m v}

and

E = \frac{1}{2} m v^{2} \Rightarrow λ = \frac{h v}{2 E}

when v and E both are doubled,

λ

remains unchanged i.e.

λ^{'} = λ

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