The ratio of volume of atom to volume of nucleus is

Answer:

To find the ratio of the volume of an atom to the volume of the nucleus.

Let us consider

The radius of the atom (r1) = 10-10

The radius of the nucleus (r2) = 10-15

Let us take the volume of the atom to the volume of the nucleus, then we get

\(\begin{array}{l}\frac{Volume\, of\, atom }{Volume\, of\, nucleus} =\frac{\frac{4}{3}\pi r_{1}^{3}}{\frac{4}{3}\pi r_{2}^{3}}\end{array} \)

⇒ 

\(\begin{array}{l}\frac{\left ( 10^{-10} \right )^{3}}{\left ( 10^{-15} \right )^{3}}\end{array} \)

\(\begin{array}{l}\frac{10^{-30}}{10^{-45}} = 10^{\left ( -30+45 \right )}\end{array} \)

⇒ 

\(\begin{array}{l}10^{15}\end{array} \)

Hence the ration of the volume of an atom to the volume of the nucleus is 1015.

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2 Comments

  1. thank u for the answer was really helpful

  2. It is helpfull

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