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Question: The ratio of de-Broglie wavelength of a a-particle to that of a proton being subjected to the same m...

The ratio of de-Broglie wavelength of a a-particle to that of a proton being subjected to the same magnetic field so that the radii of their path are equal to each other assuming the field induction vector B→\overset{\rightarrow}{B} is perpendicular to the velocity vector of the a-particle and the proton is –

A

1

B

14\frac{1}{4}

C

12\frac{1}{2}

D

2

Answer

12\frac{1}{2}

Explanation

Solution

l = hqBr\frac{h}{qBr} µ 1q\frac{1}{q} ̃ λαλP\frac{\lambda_{\alpha}}{\lambda_{P}} = qPqα\frac{q_{P}}{q_{\alpha}} =e2e\frac{e}{2e} = 12\frac{1}{2}