A nonrelativistic electron is accelerated from rest through a potential difference. After acceleration the electron has a de Broglie wavelength of 750 nm. What is the potential difference though which this electron was accelerated? (h = 6.626 × 10-34 J · s, e = - 1.60 × 10-19 C, mel = 9.11 × 10-31 kg)

Potential difference though which the electron was accelerated is

Explanation:

Given :

De Broglie wavelength ,

Plank's constant ,

Charge of electron ,

Mass of electron , m=9.11\times 10^{-31}\ kg.

We know , according to de broglie equation :

Now , we know potential energy applied on electron will be equal to its kinetic energy .

Therefore ,

Putting all values in above equation we get ,

Hence , this is the required solution.

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