Given below are two statements :
Statement I : Rutherfods's gold foil experiment cannot explain the line spectrum of hydrogen atom.
Statement II : Bohr's model of hydrogen atom contradicts Heisenberg's uncertainity principle.
In the light of the above statements, choose the most appropriate answr from the options given below :

Options

A. Statement I is false but statement II is true
B. Statement I is true but statement II is false
C. Both statement I and statement II is false
D. Both statement I and statement II is true

Answer

To solve the question, we need to analyze both statements provided:

### Step 1: Analyze Statement I
**Statement I:** Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom.

- **Explanation:** Rutherford's gold foil experiment was pivotal in discovering the nucleus of the atom. However, it did not address the electronic structure of atoms or the emission spectra of elements. The line spectrum of hydrogen, which consists of discrete wavelengths, indicates that electrons occupy specific energy levels. This phenomenon was explained by Bohr's model of the atom, not by Rutherford's experiment. Therefore, this statement is **true**.

### Step 2: Analyze Statement II
**Statement II:** Bohr's model of hydrogen atom contradicts Heisenberg's uncertainty principle.

- **Explanation:** Bohr's model posits that electrons move in fixed orbits around the nucleus with defined radii and energies. This implies that both the position and momentum of the electron can be precisely determined. However, Heisenberg's uncertainty principle states that it is impossible to simultaneously know both the exact position and momentum of a particle. Since Bohr's model allows for precise measurements of both, it indeed contradicts the uncertainty principle. Thus, this statement is also **true**.

### Step 3: Conclusion
Both statements I and II are true. Therefore, the most appropriate answer is that both statements are correct.

### Final Answer:
Both Statement I and Statement II are true.