The de-Broglie wave length of a particle having velosityof 2.25 $108 ms^ {–1 } $ , is the same value of a photon wavelength, then the ratio of kinetic energy and photon energy of the particle is.…..(take c = $ 3 \times 10^8 ms^{-1} $)
$ { K.E of practical \over K.E of photon} = { {1 \over 2 } mv^2 \over hf } = { {1 \over 2 } mv.v \over {hc \over \lambda} } = { {1 \over 2 } Pv \lambda \over hc }$ $ = { {1 \over 2 } {h \over \lambda } \lambda v \over hc } = { v \over 2c} ={ 2.25 \times 10^8 \over 2 \times 3 \times 10^8 } = {3 \over 8 } $