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← JEE Main 2026 · 6 Apr · Shift 1
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JEE Main 2026 · 6 Apr · Shift 1, Chemistry question 52

If shortest wavelength of hydrogen atom in Lyman series is xx, then longest wavelength in Balmer series of HeX+\ce{He+} is:

Choose one option
Answer and worked solution

Official answer: A

Lyman series. The shortest line is n=∞→1n=\infty\to1: 1x=R\dfrac1x=R.

Balmer series of HeX+\ce{He+} (Z=2Z=2). The longest line is 3→23\to2:
1λ=4R(14−19)=5R9,λ=9x5.\frac1\lambda=4R\left(\frac14-\frac19\right)=\frac{5R}9,\qquad\lambda=\frac{9x}5.

(A)