What is the percentage of $\alpha -$ particles that have more than $1^o$ scattering in Geiger-Marsden experiment? 

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In a Geiger-Marsden experiment, what is the distance of closest approach to the nucleus of a $7.7 \;MeV$ $\alpha -$particle before it comes momentarily to rest and reverses its direction?

Given below are two statements :

$Statement$ $I$ : Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and the electrons revolve around it, is Rutherford's model.

$Statement$ $II$ : An atom is a spherical cloud of positive charges with electrons embedded in it, is a special case of Rutherford's model.

In the light of the above statements, choose the most appropriate from the options given below.

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An alpha particle colliding with one of the electrons in a gold atom loses

An $\alpha$-particle of energy $4\  MeV$ is scattered through $180^o $ by a fixed uranium nucleus. The distance of the closest approach is of the order of

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is