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JEE Main 2021 (18 Mar, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2021 (18 Mar, Shift 1)

Q99JEE Main 2021 · 18 MAR · SHIFT 1Medium

Matter Waves: de Broglie Wavelength

A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2: 1, the mass of the particle is:

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Answer: (d)

$\lambda = \dfrac{h}{mv}$ , so $\dfrac{\lambda}{\lambda_e} = \dfrac{m_e v_e}{m v}$ .
With $v = 4v_e$ : $2 = \dfrac{m_e}{4m}$
$m = \dfrac{m_e}{8}$ , so the answer is (d).

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