RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    In the reaction \[_{92}{{X}^{234}}{{\xrightarrow{{}}}_{87}}{{\Upsilon }^{222}}.\]How many \[\text{-}\]particles and \[\beta \]-particles are emitted?

    A)  3 and 5                                

    B)  5 and 3

    C)  3 and 3                

    D)         3 and 1

    Correct Answer: D

    Solution :

    When \[\text{-}\]particle is emitted, mass number decreases by 4 units and atomic number by 2 units. When \[\text{-}\]particle is emitted, mass number remains same while atomic number increases by 1 unit. Let \[\text{a-}\text{-}\]particles and \[\text{b-}\text{-}\]particles be emitted. Then from conservation of mass number \[234=222+4a\] \[\Rightarrow \]                   \[a=\frac{234-222}{4}=3\] From conservation of atomic number (charge)                                 \[92=87+2a-b\times 1\] or            \[92-87=2\times 3-b\] \[\Rightarrow \]               \[b=6-5=1\] \[\therefore \]  \[a=3,b=1\]


You need to login to perform this action.
You will be redirected in 3 sec spinner