If the de-Broglie wavelength of a particle of mass $m$ is 100 times its velocity, then its value in terms of its mass $(m)$ and Planck's constant $(h)$ is

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Aicharya · Accepted Answer

Let wavelength of particle be $x$
So, velocity $(v)=\frac{x}{100}$
$\lambda=\frac{\mathrm{h}}{\mathrm{mv}} ; \mathrm{x}=\frac{\mathrm{h} \times 100}{\mathrm{~m} \times \mathrm{x}}$
$\mathrm{x}^{2}=100 \frac{\mathrm{h}}{\mathrm{m}}$ or $\mathrm{x}=10 \sqrt{\frac{\mathrm{h}}{\mathrm{m}}}$

If the de-Broglie wavelength of a particle of mass $m$ is 100 times its velocity, then its value in terms of…

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