Question bank/JEE Main/Chemistry

JEE MainChemistryModeratePhysical Chemistry

A particle X moving with certain velocity has a de-Broglie
wavelength of 1Aº. If particle and
velocity 75 that of will be

Show answer and solution
λxλY=[mYmx]⋅[VYVx]\frac{\lambda_{x}}{\lambda_{Y}} = \left\lbrack \frac{m_{Y}}{m_{x}} \right\rbrack \cdot \left\lbrack \frac{V_{Y}}{V_{x}} \right\rbrack
= 2.25 × 0.75 = 316;λY=163λx\frac{3}{16};\lambda_{Y} = \frac{16}{3}\lambda_{x} =
5.33 Aº

Source: Grass-G / CH-06 Chemistry Paper 14 October.docx

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