Electrons used in an electron microscope are accelerated by a voltage of 25 kV

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Electrons used in an electron microscope are accelerated by a voltage of 25 kV. If the voltage is increased associated to 100 kV then the de-Broglie wavelength associated with the electrons would

Options

(a) increase by 2 times
(b) decrease by 2 times
(c) decrease by 4 times
(d) increase by 4 times

Correct Answer:

decrease by 2 times

Explanation:

λ ∞ 1/√V
λ₁ / λ₂ = √ V₂ / V₁ = √ 1000keV / 25 keV = 2
λ₂ = λ₁ / 2

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Topics: Dual Nature of Matter and Radiation (150)
Subject: Physics (2479)

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