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An electron accelerated through a potential difference V₁ has a de Broglie wavelength of λ. When the potential is changed to V₂, its de Broglie wavelength increases by 50%. The value of ((V₁)/(V₂)) is equal to

Asked in JEE Main 30th Jan 2nd Shift 2023 · Accelerated through a potential difference

Answer: (2) 9/4

Step-by-step solution

λ∝1/(√V), so (λ₂)/(λ₁)=√(V₁)/(V₂).

A 50% increase means (λ₂)/(λ₁)=1.5.

(V₁)/(V₂)=1.5²=9/4.

Why the other options are wrong

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