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AIIMS2018Chemistry-Atomic Structure

AIIMS 2018 Chemistry Hydrogen Spectrum MCQ Question

Type: MCQ-numerical-Medium-Class 11

What is maximum wavelength of line of Balmer series of Hydrogen spectrum (R=1.09×107 m−1)\left(R = 1.09 \times 10^7\text{ m}^{-1}\right) :

A

400 nm400\text{ nm}

B

654 nm654\text{ nm}

C

486 nm486\text{ nm}

D

434 nm434\text{ nm}

Correct Answer

Option B

Detailed Explanation

In the Balmer series, the transition from n₂ = 3 to n₁ = 2 results in the emission of light with a wavelength calculated using the formula 1λ=RH(1n12−1n22)\frac{1}{\lambda} = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right). Substituting the values, we find λ=654 nm\lambda = 654 \, \text{nm}, which corresponds to option D, not B. The other options (A, B, C) represent wavelengths for different transitions in the Balmer series, specifically for transitions from higher energy levels to n₁ = 2, but do not match the calculated wavelength for the 3 → 2 transition.

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