AIIMS2018Chemistry-Atomic Structure

AIIMS 2018 Chemistry Hydrogen Spectrum MCQ Question

Type: MCQ-numerical-Medium-Class 11

In Balmer series, the transition is from 3 → 2. Therefore, wavelength can be calculated as: 1λ=RHZ2(1n121n22)\frac{1}{\lambda} = R_H Z^2 \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) 1λ=1.09×107×12(122132)\frac{1}{\lambda} = 1.09 \times 10^7 \times 1^2 \left( \frac{1}{2^2} - \frac{1}{3^2} \right) Simplify the above equation; λ=654 nₘ\lambda = 654 \text{ nₘ}

A

486 nₘ

B

434 nₘ

C

410 nₘ

D

654 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(1n121n22)\frac{1}{\lambda} = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right). Substituting the values, we find λ=654nm\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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