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The two lines A and B in fig. shows the ...


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

Text Solution

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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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