Assertion (A): The magnetic moment (mu) of an | vedclass

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(D) According to Bohr's theory,the magnetic moment $(\mu)$ of an electron revolving in an orbit is given by $\mu = \frac{e}{2m} L$,where $L$ is the or

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If both Assertion and Reason are false.

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(D) According to Bohr's theory,the magnetic moment $(\mu)$ of an electron revolving in an orbit is given by $\mu = \frac{e}{2m} L$,where $L$ is the orbital angular momentum.Since $L = \frac{nh}{2\pi}$,we have $\mu = \frac{e}{2m} \left( \frac{nh}{2\pi} \right) = \frac{enh}{4\pi m}$.This shows that $\mu \propto n$. As the principal quantum number $(n)$ increases,the magnetic moment $(\mu)$ increases.Therefore,the Assertion $(A)$ is false because it states that the magnetic moment decreases.The Reason $(R)$ is also false because it states $\mu \propto n$,which is mathematically correct in terms of proportionality,but the Assertion itself is incorrect,and the relationship implies an increase,not a decrease. However,in the context of standard Assertion-Reason questions,since the Assertion is false,the correct choice is $(d)$.

Assertion $(A)$: The magnetic moment $(\mu)$ of an electron revolving around the nucleus decreases with increasing principal quantum number $(n)$.
Reason $(R)$: Magnetic moment of the revolving electron,$\mu \propto n$.

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Assertion $(A)$: The magnetic moment $(\mu)$ of an electron revolving around the nucleus decreases with increasing principal quantum number $(n)$.Reason $(R)$: Magnetic moment of the revolving electron,$\mu \propto n$.