1.

A radioactive element decays by `beta-` emission. If mass of parent and daughter nucliede are `m_(1)` and `m_(2)` respectively, caluclate energy liberated during the emission.

Answer» The masses of parent and daughter elements nuclide are `m_(1)` and `m_(2)` respectively.
`._(2)^(X)A rarr _(Z + 1)^(X)B + ._(-1)^(0)e`
Mass of parent element `= m_(1) + Zm_(e)`
(where `Z` is at. No. of parent element.)
Mass of daughter element `= m_(2) + (Z + 1)m_(e)`
(As a. no fo element increases by one due to `beta-` emission)
`:.` Mass decay = Mass of parent atom - One `beta` loss-
[Mass of daugher atom along with one electron]
`= m_(1) Zm_(e) - m_(e) - [m_(2) + (Z + 1) m_(e)]`
`= [m_(1) - m_(2) - 2m_(e)]`
Energy liberated `= [m_(1) - m_(2) - 2m_(e)] c^(2)`


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