Given below are two statements:
Statement I: Rutherford's gold foil experiment cannot explain the line spectrum of the hydrogen atom.
Statement II: Bohr's model of the hydrogen atom contradicts Heisenberg's uncertainty principle.
In the light of the above statements, choose the most appropriate answer from the options given below:
a) Only Statement I is correct.
b) Only Statement II is correct.
c) Both Statement I and Statement II are correct.
d)Both Statement I and Statement II are incorrect.
Statement I: Rutherford's experiment discovered the presence of a nucleus in an atom but did not provide any mechanism for quantized electron energies, hence it could not explain the specific spectral lines of hydrogen. So, the statement I is correct.
Statement II: In Bohr's model, electrons are in fixed orbits with defined positions and momenta. This contradicts Heisenberg’s uncertainty principle, which says that an electron's position cannot be precisely known simultaneously with both the exact position and momentum of an electron. So, statement II is also correct.
Hence, the correct answer is option c) Both Statement I and Statement II are correct.