Atomic Structure 1 Question 30

6. A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/λ (where, λ is wavelength associated with electron wave) is given by

(2016 Main)

(a) 2meV

(b) meV

(c) 2meV

(d) meV

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Answer:

Correct Answer: 6. (c)

Solution:

  1. Plan As you can see in options, energy term is mentioned hence, we have to find out relation between h/λ and energy. For this, we shall use de-Broglie wavelength and kinetic energy term in eV.

de-Broglie wavelength for an electron (λ)=hp

p=hλ

Kinetic energy of an electron =eV

As we know that, KE=p22m

eV=p22m or p=2meV

From equations (i) and (ii), we get hλ=2meV