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Which of the following is true ?...

Which of the following is true ?

A

Neutrino is a positively charged electron

B

The magnetic moment of an atom is related to the number of unpaired electron in its electronic configuration

C

Bohr theory can be succesifully modified to explain the electronic spectrum of multielectron atom

D

The angle momentum of an eklectron in an atom is gives by `n ((h)/(2pi))`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the statements given in the question is true, we will evaluate each statement one by one. ### Step 1: Evaluate the first statement **Statement:** Neutrino is a positively charged electron. **Evaluation:** Neutrinos are elementary particles that are neutral, meaning they have no charge. They are not electrons, and they do not carry any positive or negative charge. Therefore, this statement is **incorrect**. ### Step 2: Evaluate the second statement **Statement:** The magnetic moment of an atom is related to the number of unpaired electrons in its electronic configuration. **Evaluation:** The magnetic moment (μ) of an atom can indeed be calculated using the formula: \[ \mu = \sqrt{n(n + 2)} \] where \( n \) is the number of unpaired electrons. This indicates that the magnetic moment is directly related to the number of unpaired electrons. Therefore, this statement is **correct**. ### Step 3: Evaluate the third statement **Statement:** Bose theory can be successfully modified to explain the electronic spectrum of the multi-electron atom. **Evaluation:** Bose-Einstein statistics primarily apply to systems of indistinguishable particles and are typically used to describe systems of bosons. However, the theory does not adequately explain the electronic spectra of multi-electron atoms, which require more complex quantum mechanical treatments. Therefore, this statement is **incorrect**. ### Step 4: Evaluate the fourth statement **Statement:** The angular momentum of an electron is given by \( \frac{nh}{2\pi} \). **Evaluation:** The correct formula for the orbital angular momentum (L) of an electron in an atom is: \[ L = \sqrt{l(l + 1)} \frac{h}{2\pi} \] where \( l \) is the azimuthal quantum number. The statement provided is not entirely accurate as it does not specify the azimuthal quantum number. Therefore, this statement is **incorrect**. ### Conclusion After evaluating all the statements, we find that the only true statement is the second one: **The magnetic moment of an atom is related to the number of unpaired electrons in its electronic configuration.** ---

To determine which of the statements given in the question is true, we will evaluate each statement one by one. ### Step 1: Evaluate the first statement **Statement:** Neutrino is a positively charged electron. **Evaluation:** Neutrinos are elementary particles that are neutral, meaning they have no charge. They are not electrons, and they do not carry any positive or negative charge. Therefore, this statement is **incorrect**. ### Step 2: Evaluate the second statement ...
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