TS EAMCET · Physics · Nuclear Physics
Estimate the approximate volume of aluminium nucleus \((A=27)\) \(\operatorname{Use}\left(\begin{array}{c}\mathrm{R}_0 \simeq 1.0 \times 10^{-15} \mathrm{~m} \ \pi \simeq 3\end{array}\right)\)
- A \(1 \times 10^{-13}(Å)^3\)
- B \(1 \times 10^{-10}(Å)^3\)
- C \(1 \times 10^{-15}(Å)^3\)
- D \(1 \times 10^{-17}(Å)^3\)
Answer & Solution
Correct Answer
(A) \(1 \times 10^{-13}(Å)^3\)
Step-by-step Solution
Detailed explanation
\begin{array}{ll} & \mathrm{V}=\frac{4}{3} \pi \mathrm{R}^3 \\ \Rightarrow \quad \mathrm{V} & =\frac{4}{3} \pi \mathrm{R}_0^3 \mathrm{~A} \\ \Rightarrow \quad \mathrm{V} & =\frac{4}{3} \times 3 \times 10^{-45} \times 27 \\ \Rightarrow \quad \mathrm{V} & =108 \times 10^{-45} \\…
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