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First of all I think that the phrase 'twice as many' is erroneous. A scattering through an angle of 90' or more is a rare event.

You must understand that an atom is mostly empty space. The effective area of the atomic nucleus is very small compared to the area maintained by the electrons. An alpha particle is scattered by 90' or more only when it makes a very close encounter with the atomic nucleus. As the probability of actually coming close to a nucleus is small, the resulting reactions is also small.

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Q: Why in Rutherford alpha scattering twice as many particles are scattered through an angle between 60 degree to 90 degree as are scattered through angles of 90 degree or more?
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