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Which one is not in agreement with Bohr'...

Which one is not in agreement with Bohr's model of the atom?

A

(a) Line spectra of hydrogen atom

B

(b) Pauli's exclusion principle

C

(c) Planck's theory

D

(d) Heisenberg's uncertainty principle

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement is not in agreement with Bohr's model of the atom, we need to analyze the options provided in the context of Bohr's postulates. ### Step-by-Step Solution: 1. **Understanding Bohr's Model**: - Bohr's model states that electrons revolve around the nucleus in fixed, stable orbits. Each orbit corresponds to a specific energy level, and the angular momentum of an electron in these orbits is quantized, given by the formula \( L = n \frac{h}{2\pi} \), where \( n \) is a positive integer and \( h \) is Planck's constant. **Hint**: Recall the key postulates of Bohr's model, especially regarding electron orbits and angular momentum. 2. **Evaluating the Options**: - **Option A: Line spectra of hydrogen atom**: - Bohr's model successfully explains the line spectra of hydrogen by allowing electrons to transition between energy levels, emitting or absorbing photons in the process. This is in agreement with Bohr's model. **Hint**: Consider how Bohr's model accounts for the emission and absorption of light by hydrogen. - **Option B: Pauli's exclusion principle**: - This principle states that no two electrons can have the same set of quantum numbers in an atom. While it applies to multi-electron atoms, it does not contradict Bohr's model, which primarily focuses on single-electron systems like hydrogen. **Hint**: Think about how Pauli's principle relates to electron configurations and whether it conflicts with Bohr's model. - **Option C: Planck's theory**: - Bohr's model incorporates Planck's theory of quantization of energy. The quantization of angular momentum is based on Planck's constant, so this is also in agreement with Bohr's model. **Hint**: Reflect on the relationship between Planck's theory and the quantization in Bohr's model. - **Option D: Heisenberg's uncertainty principle**: - This principle states that it is impossible to simultaneously know both the position and momentum of a particle with absolute certainty. This contradicts Bohr's model, which provides a definite value for the angular momentum of electrons in their orbits. **Hint**: Consider how the uncertainty principle challenges the precise calculations made in Bohr's model. 3. **Conclusion**: - The statement that is not in agreement with Bohr's model is **Option D: Heisenberg's uncertainty principle**. This principle contradicts Bohr's assertion of precise angular momentum values for electrons. ### Final Answer: The option that is not in agreement with Bohr's model of the atom is **D: Heisenberg's uncertainty principle**.
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