AIIMS2019Chemistry-Atomic Structure

AIIMS 2019 Chemistry Bohr Model MCQ Question

Type: MCQ-numerical-Medium-Class 11

If n = 2 for He+\text{He}^+ ion than find out the wave length

A

3.33 A˚3.33\text{ \AA}

B

6.42 A˚6.42\text{ \AA}

C

1.47 A˚1.47\text{ \AA}

D

2.37 A˚2.37\text{ \AA}

Correct Answer

Option B

Detailed Explanation

For the He⁺ ion, which is a hydrogen-like atom with Z = 2, the wavelength of emitted or absorbed light can be calculated using the Rydberg formula. Given n = 2, the energy levels can be determined, and the wavelength can be derived from the transition between energy levels, leading to a specific wavelength value. Since option B corresponds to the correct wavelength derived from these calculations, it is the right choice, while the other options do not provide relevant wavelength values or calculations for the He⁺ ion. Understanding the relationship between energy levels and wavelength in hydrogen-like ions is crucial for mastering atomic physics concepts.

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