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Find the energy equivalent of one atomic mass unit, first in Joules and then in MeV. Using this, express the mass defect of ""_(8)^(16)O in MeV//c^2. |
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Answer» Solution :`1 U = 1.6605 xx 10^(-27) KG` To convert it into energy UNITS, we multiply it by `c^2` and find that energy equivalent `= 1.6605 xx 10^(-27) xx (2.9979 xx 10^8)^2 kg m^2//s^2` `= 1.4924 xx 10^(-10) J` `= (1.4924 xx 10^(-10))/(1.602 xx 10^(-19)) eV` `= 0.9315 xx 10^(9) eV` `= 931.5 MeV` or, `1 u = 931.5 MeV//c^2` For `""_(8)^(16)O , "" Delta M = 0.13691 u = 0.13691 xx 931.5 MeV//c^2` `= 127.5 MeV//c^2` The energy needed to separate `""_(8)^(16)O` into its constituents is thus `127.5 MeV//c^2`. |
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