If an electron is accelerated from rest through a potential difference of 100 V,what is its de Broglie wavelength? A) 2.55 $\times$ 10^-9 m B) 1.23 $\times$ 10^-10 m C) 0.529 $\times$ 10^-10 m D) 8.67 $\times$ 10^-9 m E) 1.20 $\times$ 10^-15 m

Question

Quizplus · Accepted Answer

The de Broglie wavelength of an electron is given by the formula λ = h/p, where h is the Planck's constant and p is the momentum of the electron. 
The momentum of the electron can be calculated using the formula p = √(2mE), where m is the mass of the electron and E is the potential difference through which it is accelerated. 
Substituting the given values, we get 
p = √(2×9.109×10^-31×100) = 6.06×10^-24 kg m/s 
Now, substituting this value of p in the de Broglie wavelength formula, we get 
λ = h/p = 6.626×10^-34 / 6.06×10^-24 = 1.23×10^-10 m 
Therefore, the correct answer is B.

If an Electron Is Accelerated from Rest Through a Potential ×\times×

If an Electron Is Accelerated from Rest Through a Potential $\times$