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ICSE Class 10 Physics 2013 Solved Paper

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Question : 31
Total: 70
A radioactive nucleus undergoes a series of decays according to the sequence
X
β
───▸
X1
α
───▸
X2
α
───▸
X3‌. ‌
If the mass number and atomic number of X3 are 172 and 69 respectively, what is the mass number and atomic number of X ?
Solution:  
‌ZAX
β
───▸
‌Z+1AX1
α
───▸
Z+1−2A−4X2
α
───▸
Z+1−2−2A−4−4X3
Given : Atomic number of X3=69 and mass number of X3=172 i.e. ‌69172X3
‌72X180
β
───▸
‌73X1‌180
α
───▸
‌71X2‌176
α
───▸
‌69X3‌172
Mass number of X=180
Atomic number of X=72
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