The width of the central bright fringe in adiffraction pattern on a screen is id

Question

The width of the central bright fringe in adiffraction pattern on a screen is identical when either electronsor violet light (vacuum wavelength =405 nm) pass through a single slit.The distance between the screen and the slit is the same in eachcase and is large compared to the slit width. How fast are theelectrons moving?
1 m/s
The width of the central bright fringe in adiffraction pattern on a screen is identical when either electronsor violet light (vacuum wavelength =405 nm) pass through a single slit.The distance between the screen and the slit is the same in eachcase and is large compared to the slit width. How fast are theelectrons moving?
1 m/s

Explanation / Answer

Wavelength = 405 * 10 ^ -9 m from de Brogiles equation momentum of the electron P = h / where h = planck's constant = 6.625 * 10^ -34 J s plug the values we get P = 1.635* 10 ^ -27 kg m /s we know velocity of the elctron v= P / mass ofelectron                                                    = ( 1.635 * 10 ^ -27 )/ ( 9.11* 10 ^ -31 )                                                    = 1795.611 m / s where h = planck's constant = 6.625 * 10^ -34 J s plug the values we get P = 1.635* 10 ^ -27 kg m /s we know velocity of the elctron v= P / mass ofelectron                                                    = ( 1.635 * 10 ^ -27 )/ ( 9.11* 10 ^ -31 )                                                    = 1795.611 m / s

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