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प्रश्न
Two charged particles having the same charge but different masses are passed through a potential difference V. When V is varied, de-Broglie wavelength (λ) of the particles varies as shown in the graph below. Which graph is for heavier particles and why?
थोडक्यात उत्तर
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उत्तर
λ = `h/(sqrt(2 meV))`
`λ ∝ 1/sqrtm xx 1/sqrtV`
So, in the λ vs `1/sqrtV` graph, slope ∝ `1/sqrtm`.
Heavier particles have a smaller slope (since slope ∝ `1/sqrtm`). Therefore, line A represents the heavier particle, while line B (steeper) represents the lighter particle.
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Notes
The answer given in the board solution is incorrect.
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