Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H-atom is suitable for this purpose ? [RH = 1 × 105 cm-1, h = 6.6 × 10-34 Js, c = 3 × 108 ms-1]

Question

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H-atom is suitable for this purpose ? [RH = 1 × 105 cm-1, h = 6.6 × 10-34 Js, c = 3 × 108 ms-1] (A) Paschen, 5→ 3 (B) Paschen, ∞ → 3 (C) Lyman, ∞ → 1 (D) Balmer, ∞ → 2

Tardigrade Admin · Accepted Answer

We have, (1/λ)=R Z2((1/nl 2)-(1/nf 2)) Here if n l=3 and n f =∞ (1/λ)=10-7 × 12((12/3)-(1/∞2))=(10-7/9)=900 mm

Q. Heat treatment of muscular pain involves radiation of wavelength of about $900 nm$ . Which spectral line of H-atom is suitable for this purpose ?
$[R_{H} = 1 \times 1 0^{5} c m^{- 1}, h = 6.6 \times 1 0^{- 34} J s, c = 3 \times 1 0^{8} m s^{- 1}]$

Paschen, $5 \to 3$

Paschen, $\infty \to 3$

Lyman, $\infty \to 1$

Balmer, $\infty \to 2$

We have,
$\frac{1}{λ} = R Z^{2} (\frac{1}{n _{l} ^{2}} - \frac{1}{n _{f} ^{2}})$
Here if $n_{l} = 3$ and $n_{f} = \infty$
$\frac{1}{λ} = 1 0^{- 7} \times 1^{2} (\frac{1 ^{2}}{3} - \frac{1}{\infty ^{2}}) = \frac{1 0 ^{- 7}}{9} = 900 mm$

Q. Heat treatment of muscular pain involves radiation of wavelength of about 900nm. Which spectral line of H-atom is suitable for this purpose ? [RH​=1×105cm−1,h=6.6×10−34Js,c=3×108ms−1]

Paschen, 5→3

Paschen, ∞→3

Lyman, ∞→1

Balmer, ∞→2