The mass of an electron is 9.1x10-31kg.If its kinetic energy is 3.0x10-25J.CALCULATE ITS WAVELENGTH........
The wavelength will be calculated from the De Broglie's relation which is
λ = h/ (mxv)
where λ is the wavelength, h is the planck's constant, m is the mass of the electron and v is its velocity. For calculating the velocity, we will use the expression
E = 1/2 mv2
We are given that E = 3 x 10-25J. Therefore we get
v2 = 2 x E /m
On substituting the values, we get
v = 8.12 x 102
Hence λ = h/ (mxv)
= 6.63 x 10-34/(9.1 x 10-31 x8.12 x 102)
= 8.972 x 10-7m
Hence the wavelength of the electron will be 8.972 x 10-7m