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JEE Main 2026 · 5 Apr · Shift 2, Physics question 43

An electron is travelling with a velocity vv in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength of electron in the medium is αλ0\alpha\lambda_0, where λ0\lambda_0 is its de Broglie wavelength in free space. The value of α\alpha is ________.

Choose one option
Answer and worked solution

Official answer: C

de Broglie. λ∝1v\lambda\propto\dfrac1v. The speed falls to 0.8v0.8v, so
λ=λ00.8=1.25λ0.\lambda=\frac{\lambda_0}{0.8}=1.25\lambda_0.

(C)