When the kinetic energy of an electron is increased , the wavelength of the associated wave will

Options

A. Increase
B. Decrease
C. Wavelength does depend on the kinetic energy
D. None of the above

Answer

A

Explanation

The kinetic energy , `(1)/(2) mv^(2) = E rArr mv = sqrt( 2m E)`
`:. Lambda = (h)/(mv) = (h)/(sqrt(2 m E)) rArr lambda prop (1)/( sqrt ( E))`
Hence , the wavelength of the associated wave will decrease.