A17.3 ev electron has a 0.295 nm wavelength. if such electrons are passed through a double slit and have their first maximum at an angle of 33.0°, what is the slit separation d (in nm)?

0.541 nm

Explanation:

The condition for maxima is,

Here, m=0,1,2,.....

And d is the slit separation, m is the order of maxima, is the wavelength.

Given that, the 17.3 eV electron posses a wavelength of

And the order of maxima is .

And the angle at which first order maxima occur is,  .

Put these values in maxima condition while solving for d.

Therefore, the slit separation is 0.541 nm.

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