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Question: A proton and ana-particle are accelerated through the same potential differences. The ratio of their...

A proton and ana-particle are accelerated through the same potential differences. The ratio of their de-Broglie wavelengths lp/la is

A

1

B

2

C

8\sqrt{8}

D

1/8\sqrt{8}

Answer

8\sqrt{8}

Explanation

Solution

λPλα\frac{\lambda_{P}}{\lambda_{\alpha}}=h2meVh2×4m×2eV\frac{\frac{h}{\sqrt{2meV}}}{\frac{h}{\sqrt{2 \times 4m \times 2eV}}}

=81\frac{\sqrt{8}}{1}