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← JEE Main 2015 · 10 Apr · Shift 1
PhysicsSingle correct+4 / -1Question 27 of 90

JEE Main 2015 · 10 Apr · Shift 1, Physics question 27

de-Broglie wavelength of an electron accelerated by a voltage of 50 V is close to (∣e∣=1.6×10−19|e|=1.6\times10^{-19} C, me=9.1×10−31m_e=9.1\times10^{-31} kg, h=6.6×10−34h=6.6\times10^{-34} Js) :

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Answer and worked solution

Official answer: C

λ=h2meV=6.6×10−342×9.1×10−31×1.6×10−19×50≈1.7×10−10 m=1.7 A˚.\lambda=\frac h{\sqrt{2meV}}=\frac{6.6\times10^{-34}}{\sqrt{2\times9.1\times10^{-31}\times1.6\times10^{-19}\times50}}\approx1.7\times10^{-10}\text{ m}=1.7\text{ Å}.