According to the nuclear model of an atom, what is the area of the whole mass of the atom located ?

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Give the relationship between impact parameter and scattering angle. 

Rutherford’s $\alpha$-particle experiment showed that the atoms have

In the Rutherford experiment, $\alpha -$ particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?

  • [AIEEE 2012]

In the Rutherford's nuclear model of the atom, the nucleus (radius about $10^{-15} \;m$ ) is analogous to the sun about which the electron move in orbit (radius $\approx 10^{-10} \;m$ ) like the earth orbits around the sun. If the dimensions of the solar system had the same proportions as those of the atom, would the earth be closer to or farther away from the sun than actually it is? The radius of earth's orbit is about $1.5 \times 10^{11} \;m.$ The radius of sun is taken as $7 \times 10^{8}\;m$

In the result of the Geiger-Marsden experiment, by which the trajectory of the $\alpha $ -particle can be calculated ?