Question

Find kinetic energy of a proton whose de broglie wavelength if 1fm

Answer 1

concept of de Broglie wave length

Answer 2

The kinetic energy of a proton is $1.31\times 10^{-10}\ J$.

Explanation:

Given that,

Wavelength of the proton, $\lambda=1\ fm=10^{-15}\ m$

To find,

Kinetic energy of the proton

Solution,

The De Broglie wavelength in terms of kinetic energy is given by :

$\lambda=\dfrac{h}{\sqrt{2mE} }$

E is the kinetic energy

m is the mass of the proton

$E=\dfrac{h^2}{2m\lambda^2}$

$E=\dfrac{(6.63\times 10^{-34})^2}{2\times 1.67\times 10^{-27}\times (10^{-15})^2}$

$E=1.31\times 10^{-10}\ J$

So, the kinetic energy of a proton is $1.31\times 10^{-10}\ J$.

Learn more,

De- Broglie wavelength

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