The radius of atom is of the order of 1\; \AA and radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?

Answers (1)

Let us convert these different units into a common one, i.e., ‘m’.

Thus, Radius of an atom (R)= 1\AA

                                                  = 10^{-10}m

& Radius of a nucleus = 1 fermi

                                    = 10^{-15}m

Now, let us calculate the ratio of the volumes of an atom to a nucleus- 

\frac{\frac{4}{3}\pi R^3}{\frac{4}{3}\pi r^{3}}= R^{3}/r^{3}

              = (10^{-10}/10^{-15})^3

                = (10^{5})^{3}= 10^{15}

 

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