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Wave Optics

Question
CBSEENPH12039382

A radioactive nucleus 'A' undergoes a series of decays as given below:
straight A space rightwards arrow with straight alpha on top space straight A subscript 1 space rightwards arrow with straight beta on top space straight A subscript 2 space rightwards arrow with straight alpha on top space straight A subscript 3 space rightwards arrow with straight gamma on top space straight A subscript 4
The mass number and atomic number of A2 are 176 and 71 respectively. Determine the mass and atomic number of A4 and A.

Solution

straight A subscript 74 superscript 180 space rightwards arrow with space straight alpha space on top space straight A subscript 72 superscript 176 space rightwards arrow with space straight beta on top space straight A subscript 71 superscript 176 space rightwards arrow with straight alpha on top space straight A subscript 69 superscript 172 space rightwards arrow with straight gamma on top straight A subscript 69 superscript 172
The mass number and atomic number of A4 is 172 and 69, respectively.
The mass number and atomic number of A is 180 and 74, respectively.

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