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Mass ratio of two particles x and y is 2:1 and the ratio of their kinetic energies is 2:9. de Broglie wavelength ratio of x and y will be

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4 : 3

9 : 4

3 : 2

2 : 3

answer is C.

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Detailed Solution

$\frac{m_{x}}{m_{y}} = \frac{2}{1}$

$\frac{K . E_{x}}{K . E_{y}} = \frac{2}{9}$

$λ = \frac{h}{\sqrt{2 m K E}}$

$\frac{λ_{x}}{λ_{y}} = \frac{\sqrt{2 m_{y} K E_{y}}}{\sqrt{2 m_{x} K E_{x}}} = \frac{1}{2} \times \frac{9}{2} = \frac{9}{4}$

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