KVPY Sample Paper KVPY Stream-SX Model Paper-20

  • question_answer
    A tumor on a person's leg has a mass of 3g. What is the minimum activity a radiation source can have, if it is to deliver a dose of 10 Gy (Gray) to the tumor in 14 min. Assume each disintegration provides an energy of \[0.7\text{ }MeV\]to the tumor.

    A) \[3.7\times {{10}^{5}}Bq\]

    B) \[3.7\times {{10}^{8}}Bq\]

    C) \[3.7Bq\]

    D) \[3.7\times {{10}^{10}}Bq\]

    Correct Answer: B

    Solution :

    A 10 Gy dose of radiation corresponds to 10 J of radiation energy. As tumor mass is 0.003 kg energy for 10 Gy dose is
    \[{{E}_{1}}=0.003\times 10=0.03J\]
    Each disintegration provides \[0.7MeV\]\[{{H}^{+}}\]
    To provide \[0.03J\]number of iisintegrations required is
    \[N=\frac{0.03}{1.12\times {{10}^{-13}}}=268\times {{10}^{11}}\]decays
    These must occurs in 14 min,
    Number of decays per second \[=n=\frac{N}{t}\]\[=\frac{268\times {{10}^{11}}}{14\times 60}=3.7\times {{10}^{8}}\] decays \[{{s}^{-1}}\]
    Source activity required is\[R=3.7\times {{10}^{8}}Bq\]


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