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The circumference of the third orbit of ion is m. The de-Broglie wavelength of electron revolving inAtomic Structure Chemistry Question

Question

The circumference of the third orbit of $He^+$ ion is $x$ m. The de-Broglie wavelength of electron revolving in this orbit will be

Answer: A

💡 Solution & Explanation

By the de-Broglie relation applied to Bohr orbits, the circumference is an integer multiple of the wavelength: $2\pi r = n\lambda$. For the third orbit, $n = 3$. Given the circumference is $x$, we have $x = 3\lambda \implies \lambda = \frac{x}{3}$. Therefore, correct answer is A.

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