Model Paper 1 — Chemistry STD 11 Science — Question
Rajasthan BoardEnglish MediumSTD 11 ScienceChemistryModel Paper 12 Marks
Question
Prove that the density of the nucleus is constant.
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Answer
Let the volume of nucleus $= V =\frac{4}{3} \pi r ^3$, the mass of the nucleus $= M$. Also, $r=r_{\circ} A^{\frac{1}{3}} \Rightarrow r^3=r_{\circ}^3 A$ Now, Density $(\rho)=\frac{\text { Mass }(M)}{\text { Volume }(V)}=\frac{M}{\frac{4}{3} \pi r^3}=\frac{M}{\frac{4}{3} \pi r_0^3 A}$. Since, M, $r_{\circ}$ and A for the given nucleus is constant . Therefore The density of nucleus is constant, independent of the element under consideration.
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