1.

Show that the wavelength of a moving particle is relased to its kinetic energy `(E ) as lambda = (h)/(2mE)^(1//2)`

Answer» Kinetic energy `E= (1)/(2) mv^(2)`
`2mE =- (1)/(2) mv^(2) xx 2m = m^(2)v^(2)`
`or mv = (2 mE)^(1//2)`
According to de Broglie,
`lambda = (h)/(mv) = (h)/((2mE)^((1)/(2)))`


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