Calculate the ratio of the kinetic energy of an electron to that of a proton if their wavelengths are equal. Assume that the speeds are nonrelativistic.

the ratio of the kinetic energy of an electron to that of a proton if their wavelengths are equal is 1835.16 .

Explanation:

We know, wavelength is expressed in terms of Kinetic Energy by :

Therefore ,

It is given that both electron and proton have same wavelength.

Therefore,

  .... equation 1.

  .... equation 2.

Now, dividing equation 1 by 2 .

We get ,

Putting value of mass of electron = and mass of proton =

We get :

Hence , this is the required solution.

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