If R is the Rydberg Constant in cm -1, then hydrogen atom does not emit any radiation of wave-length in the range of

Question

If R is the Rydberg Constant in cm -1, then hydrogen atom does not emit any radiation of wave-length in the range of (A) (1/R) to (4/3 R) cm (B) (7/5 R) to (19/5 R) cm (C) (4/R) to (36/5 R) cm (D) (9/R) to (144/7 R) cm

Tardigrade Admin · Accepted Answer

we know that (1/λ)=R[(1/n12)-(1/n22)] n1=1, n2=2 (1/λ)=R[1-(1/4)] λ=(4 /3 R) (maximum) n1=1, n2=∞ λ=(1/R) (minimum) (1/R) to (4/3 R)

Q. If $R$ is the Rydberg Constant in $c m^{- 1}$ , then hydrogen atom does not emit any radiation of wave-length in the range of

$\frac{1}{R}$ to $\frac{4}{3 R} c m$

$\frac{7}{5 R}$ to $\frac{19}{5 R} c m$

$\frac{4}{R}$ to $\frac{36}{5 R} c m$

$\frac{9}{R}$ to $\frac{144}{7 R} c m$

we know that
$\frac{1}{λ} = R [\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}}]$
$n_{1} = 1, n_{2} = 2$
$\frac{1}{λ} = R [1 - \frac{1}{4}]$
$λ = \frac{4}{3 R}$ (maximum)
$n_{1} = 1, n_{2} = \infty$
$λ = \frac{1}{R}$ (minimum)
$\frac{1}{R}$ to $\frac{4}{3 R}$

Q. If R is the Rydberg Constant in cm−1, then hydrogen atom does not emit any radiation of wave-length in the range of

R1​ to 3R4​cm

5R7​ to 5R19​cm

R4​ to 5R36​cm

R9​ to 7R144​cm