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  • A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number <img alt="80 \mathrm{MeV}" src="https://entrancecorner.oncodecogs.com/gif.latex?80%20%5Cmathrm%7BMe

A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 \mathrm{MeV} respectively, then the energy released in the decay will be -
 

Option: 1

200 \mathrm{~MeV}


Option: 2

-220\mathrm{~MeV}


Option: 3

220 \mathrm{~MeV}


Option: 4

180\mathrm{~MeV}


Answers (1)

best_answer

According to the question -

                         x \quad\quad \longrightarrow\quad\quad\quad y\quad\quad\quad+\quad\quad\quad z

\begin{aligned} \mathrm{A} & =200 \\ \mathrm{(B \cdot E \cdot)_N }& =6.5 \mathrm{MeV} \\ \mathrm{(B \cdot E \cdot)_X} & =200 \times 6.5 \\ & =1300 \mathrm{MeV} \end{aligned}    \begin{aligned} &\mathrm{ A_y=80 }\\ &\mathrm{ (B E)_N=7} \mathrm{MeV} \\ & \mathrm{(B \cdot E \cdot)_y}=560 \mathrm{MeV} \end{aligned} \begin{aligned} &\mathrm{ A z=120 }\\ &\mathrm{ (B \cdot E \cdot)_N}=8 \mathrm{MeV} \\ &\mathrm{ (B \cdot E \cdot)}_2=940 ~ \mathrm{MeV} \end{aligned}

The energy release (Q-value)

\begin{aligned} & \mathrm{=(B \cdot E \cdot)_P-(B \cdot E)_R} \\ & =1520-1300 \\ & =220 \mathrm{MeV} \end{aligned}

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Irshad Anwar

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