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  • In the gold foil experiment of Geiger and Marsden, that paved the way for Rutherford’s model of an atom, \sim1.00% of the a-particles were found to deflect at angles > 50°.

In the gold foil experiment of Geiger and Marsden, that paved the way for Rutherford’s model of an atom, \sim1.00% of the \alpha-particles were found to deflect at angles > 50°. If one mole of a-particles were bombarded on the gold foil, compute the number of \alpha-particles that would deflect at angles less than 50°.

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Answer:

Percentage of \alpha - particles deflected by more than 50^{o}=1\; ^{o}/_{o} of total \alpha - particles.

Percentage of \alpha - particles deflected by less than 50^{o}=100\; ^{o}/_{o}-1\; ^{o}/_{o}=99\; ^{o}/_{o} of total \alpha - particles.

Number of \alpha - particles bombarded on the gold foil = 1 mole =6.022\times 10^{23}

Number of particles that deflected by an angle less than 50°

=\frac{99}{100}\times6.022 \times10^{23}

=\frac{596.178}{100}\times 10^{23}

=5.96 \times 10^{23}

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