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In Which of the Following Systems Will the Wavelength Corresponding to N = 2 to N = 1 Be Minimum?

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प्रश्न

In which of the following systems will the wavelength corresponding to n = 2 to n = 1 be minimum?

विकल्प

  • Hydrogen atom

  •  Deuterium atom

  • Singly ionized helium

  • Doubly ionized lithium

MCQ
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उत्तर

 Doubly ionized lithium

The wavelength corresponding the transition from n2 to n1 is given by

`1/lamda =RZ^2 (1/n_1^2 - 1/n_2^2)`]

Here,
R = Rydberg constant
Z = Atomic number of the ion

From the given formula, it can be observed that the wavelength is inversely proportional to the square of the atomic number.
Therefore, the wavelength corresponding to n = 2 to n = 1 will be minimum in doubly ionized lithium ion because for lithium, Z = 3.

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अध्याय 43: Bohr’s Model and Physics of Atom - MCQ [पृष्ठ ३८३]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 43 Bohr’s Model and Physics of Atom
MCQ | Q 6 | पृष्ठ ३८३

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