The two lines A and B in fig. shoe the phot of de Broglie wavelength `(lamda)` as a function of `(1)/(sqrtV) `(V is the accelerating potential) for teo particles having the same charge. Which of the two represents the particle of heavier mass?

The two lines A and B in fig. shoe the phot of de Broglie wavelength

1.	The two lines A and B in fig. shoe the phot of de Broglie wavelength `(lamda)` as a function of `(1)/(sqrtV) `(V is the accelerating potential) for teo particles having the same charge. Which of the two represents the particle of heavier mass?
Answer» In terms of accelerating potential V, the de Broglie wavelength of a charged particle is given by `lamda=(h)/(sqrt(2meV))` …(i) Where e is charge and m is mass of the particle. Equation (i) represents a straight line, whose slope is `(h)/(sqrt(2me))`. The slope of the line is inversely proportional to `sqrtm`. since the slope of line A is lesser, it represents the particle of heavier mass

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The two lines A and B in fig. shoe the phot of de Broglie wavelength `(lamda)` as a function of `(1)/(sqrtV) `(V is the accelerating potential) for teo particles having the same charge. Which of the two represents the particle of heavier mass?

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