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A: Bohr's orbits are regions where the e...

A: Bohr's orbits are regions where the electron may be found with large probability.
R: The orbital picture in Bohr's model of the hydrogen atom was inconsistent with the uncertainty principle.

A

If both Assertion & Reason are true and the reason is the correct explantion of the assertion , then mark (1)

B

if both Assertion & Reason are true but the reason is not the correct explantion of the assertion , then mark (2)

C

If Assertion is true statement but Reason is false, then mark (3)

D

If both Assertion and Reason are false statements, then mark (4)

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the assertion and reason provided in the question, we will break down the statements step by step. ### Step 1: Understanding the Assertion **Assertion (A):** Bohr's orbits are regions where the electron may be found with large probability. - In Bohr's model of the hydrogen atom, electrons are said to occupy specific orbits around the nucleus. These orbits are quantized, meaning that electrons can only exist in certain allowed energy levels. - The probability of finding an electron in a particular region of space is related to the wave function of the electron. In quantum mechanics, the square of the wave function gives the probability density. - Bohr's model suggests that within these orbits, the probability of finding an electron is relatively high, particularly at certain points in the orbit. **Conclusion for Step 1:** The assertion is correct because Bohr's orbits do represent regions where the probability of finding the electron is significant. ### Step 2: Understanding the Reason **Reason (R):** The orbital picture in Bohr's model of the hydrogen atom was inconsistent with the uncertainty principle. - The uncertainty principle, formulated by Heisenberg, states that it is impossible to simultaneously know both the position and momentum of a particle with absolute precision. The more accurately we know one, the less accurately we can know the other. - In Bohr's model, electrons are depicted as moving in defined orbits, which implies a certain position and momentum. This contradicts the uncertainty principle because it suggests that we can know both the position (specific orbit) and momentum (velocity along that orbit) of the electron precisely. - Therefore, the orbital picture presented in Bohr's model does not align with the principles of quantum mechanics, particularly the uncertainty principle. **Conclusion for Step 2:** The reason is also correct because Bohr's model does not comply with the uncertainty principle. ### Final Conclusion Both the assertion and the reason are correct. The assertion states that Bohr's orbits are regions of high probability for finding electrons, while the reason explains the inconsistency of Bohr's model with the uncertainty principle. ### Summary - **Assertion (A)** is correct. - **Reason (R)** is correct. - Therefore, both statements are true, and the reason correctly explains the assertion. ---
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