What is the ratio of de Brogile wavelength of deuteron moving with a velocity 2

Question

What is the ratio of de Brogile wavelength of deuteron moving with a velocity 2 v and

α

-particle moving with velocity v ?

Options:

A . 1:1

B . 1:2

C . 1:4

D . 4:1

Answer: Option A
:
A

λ = \frac{h}{m v} λ_{d} = \frac{h}{2 m_{p} \times 2 v} = \frac{h}{4 \times m_{p} v} . . . (1) λ_{α} = \frac{h}{4 m_{p} \times v} = \frac{h}{4 \times m_{p} v} . . . (2)

From (1) and (2)

λ_{d} : λ_{α} = 1 : 1

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