Answer :

Given:


Total energy of system, E = 10.2 BeV = 10.2 × 109 × 1.6 × 10-19J


E = 16.32 × 10-10J


Energy in each ray, E’ = E/2


E’ = 8.16 × 10-10J


We know that Energy in a photon is given by,


…(1)


Where,


E = Energy of photon


h = Planck’s constant = 6.6 × 10-34 Js


c = 3 × 108 ms-1


λ = wavelength of photon


From equation (1) we can get,




λ = 2.34 × 10-16m


Hence, the wavelength of each ray is 2.3 × 10-16 m.


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