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Q.

The momentum of a photon of energy 1 MeV in kg m/s will be

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a

0.33×106

b

7×10-24

c

10-22

d

5×10-22

answer is D.

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Detailed Solution

Energy of photon is given by

E=hcλ   .    .   .   iWhere  h  is  plank's  constant,  c  the  velocity  of  light  and  λ   its  wavelength.deBroglie  wavelength  isgiven  byλ=hp   .     .     .    iiP  being  momentum  of  photon  fromEq.s  i  and  ii,  we  can  haveE=hch/p=pc   or   p=E/cGiven,  E=1  MeV=1×106×1.6×1019Jc=3×108m/sHence,   after  putting   numerical  values,   we  obtain   p=1×106×1.6×10193×108kgm/s=5×1022kgm/s

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