If the potential difference used to accelerate electrons is increased four times, by what factor does the de-Broglie wavelength associated with the electrons change? (a) Wavelength increased two times (b) Wavelength decreased to half (c) Wavelength increased four times (d) Wavelength remains the same

Answer: (b). λ ∝ 1/√(V). V' = 4V ⇒ λ' = (λ)/(2). So the answer is (b) wavelength decreased to half.

If the potential difference used to accelerate electrons is increased… | MHT CET 2024 (10 May, Shift 1)

Q52MHT CET 2024 · 10 MAY · SHIFT 1Easy

Matter Waves: de Broglie Wavelength

If the potential difference used to accelerate electrons is increased four times, by what factor does the de-Broglie wavelength associated with the electrons change?

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Answer: (b)

$\lambda \propto \dfrac{1}{\sqrt{V}}$ .
$V' = 4V \Rightarrow \lambda' = \dfrac{\lambda}{2}$ .
So the answer is (b) wavelength decreased to half.

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