Solve this:

Q.1 A alpha particle after passing through a potential difference of 2 x 106 volt falls on a silver foil. The atomic number of silver is 47. Calculate (i) the K.E. of the alpha-particle at the time of falling on the foil. (ii) K.E. of the  α -particle at a distance of 5 x 10-14 m from the nucleus, (iii) the shortest distance from the nucleus of silver to which the 
α -particle reaches.

Q.2 A beam of some kind of particle of velocity 2 x 107 m/s is scattered by a gold (z=79) foil. Find the specific (charge/mass) if the distance of closest approach is 7.9 x 10-14 m.

Q.3 With what velocity should an  α -particle travel towards the nucleus of a copper atom so as to arrive at a distance 10-13 meter from the nucleus of the copper atom?

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