In the Gold foil experiment of Geiger and Marsden, that paved the way for Rutherford’s model of an atom, ~ 1.00% of the α-particles were found to deflect at angles > 50º. If one mole of α-particles were bombarded on the gold foil, compute the number of α-particles that would deflect at angles less than 500.

% of α-particles deflected more than 
50∘ =1% of α-particles.
% of α-particles deflected less than 
50∘ =100 – 1 = 99%
Number of α-particles bombarded = 1 mole = 
6.022×1023 particles.
Number of particles that deflected at an angle less than 50∘,
=(99/100) × 6.022 × 1023

= 5.96×1023

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Updated on: 19-Jan-2023

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