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Physics Question on Atoms

In the nuclear reaction, 72X180−>[−α]Y−>[−β]Z−>[−α]A−>[−γ]P{ }_{72} X^{180} {->[-\alpha]} Y {->[-\beta]} Z {->[-\alpha]} A {->[-\gamma]} P the atomic mass and atomic number of PP are, respectively

A

170, 69

B

172, 69

C

172, 70

D

170, 70

Answer

172, 69

Explanation

Solution

When an atom emits an α−\alpha- particle its mass number deceases by 4 and atomic number by 2, when it emits a β\beta - particle its atomic number increases by 1, while there is no change in mass number and mass number and atomic number in γ\gamma-ray emission remains same.
72X180−>[−α]70Y176−>[−β]{ }_{72} X^{180} {->[-\alpha]}_{70} Y^{176} {->[-\beta]}
71Z176−>[−α]69A172−>[−γ]69172{ }_{71} Z^{176} {->[-\alpha]} {}_{69}A^{172} {->[-\gamma]} 69^{172}