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  • If the total biding energies of <img alt="{ }_1^2 \mathrm{H},{ }_2^4 \mathrm{He},{ }_{26}^{56} \mathrm{Fe}" src="https://entrancecorner.oncodecogs.com/gif.latex?%7B%20%7D_1%5E2%20%5Cmathrm%7BH

If the total biding energies of { }_1^2 \mathrm{H},{ }_2^4 \mathrm{He},{ }_{26}^{56} \mathrm{Fe} and { }_{92}^{235} \mathrm{U} nuclei are 2.22, 28.3, 492 and 1786 MeV respectively, identify the most stable nucleus of the following

Option: 1

{ }_{26}^{56} \mathrm{Fe}


Option: 2

{ }_1^2 \mathrm{H}


Option: 3

{ }_{92}^{235} \mathrm{U}


Option: 4

 { }_2^4 \mathrm{He}


Answers (1)

best_answer

\begin{aligned} & \text { B. } E_H=\frac{2.22}{2}=1.11 \\ & \text { B. } E_{\mathrm{He}}=\frac{28.3}{4}=7.08 \\ & \text { B. } E_{\mathrm{Fe}}=\frac{492}{56}=8.78=\text { maximum } \\ & \text { B. } E_U=\frac{1786}{235}=7.6 \end{aligned}

{ }_{26}^{56} \mathrm{Fe} is most stable as it has maximum binding energy per nucleon.

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