The mass of an electron is 9.1x10^{-31}kg.If its kinetic energy is 3.0x10^{-25}J.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 mv^{2}

We are given that E = 3 x 10^{-25}J. Therefore we get

v^{2} = 2 x E /m

On substituting the values, we get

v = 8.12 x 10^{2}

Hence λ = h/ (mxv)

= 6.63 x 10^{-34}/(9.1 x 10^{-31 }x8.12 x 10^{2})

= 8.972 x 10^{-7}m

Hence the wavelength of the electron will be 8.972 x 10^{-7}m

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