Questions
Two antiparticles x and y at rest combine and as a result two gamma photons are produced. If total energy of the gamma photons is 1.022 MeV, mass of each particle is
a
9.1×10−31kg
b
1.67×10−27kg
c
1.8×10−27kg
d
7.2×10−30kg
detailed solution
Correct option is A
Initial momentum of the antiparticles is zero. So by the principle of conservation of linear momentum, the photons must be moving in opposite directions with same magnitude of momentum. So the energy of the photons must be the same. Now the antiparticles must have the same mass.∴ 2m×(3×108)2=1.022×106×1.6×10−19⇒m=9.1×10−31Talk to our academic expert!
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