A monoelectronic species in energy level with energy X was provided with excess of energy so that it jumps to higher energy level with energy Y. If it can emit six wavelengths originated from all possible transition between these group levels, then which of the following relation is correct? (where n is the principal quantum number of energy level X).

Question

A monoelectronic species in energy level with energy X was provided with excess of energy so that it jumps to higher energy level with energy Y. If it can emit six wavelengths originated from all possible transition between these group levels, then which of the following relation is correct? (where n is the principal quantum number of energy level X). (A) √(X/Y)=1+(3/n) (B) (X/Y)=(n/6) (C) (X/Y)=(n-1)2 (D) (X/Y)=1+(3/n)

Tardigrade Admin · Accepted Answer

If n is the principal quantum number of energy level corresponding to energy X, the principal quantum number of energy level Y is (n+3) as it emit six wavelengths. (X/Y)=((n+3)2/n2) ⇒ √(X/Y)=1+(3/n)

$\frac{X}{Y} = 1 + \frac{3}{n}$

$\frac{X}{Y} = \frac{n}{6}$

$\frac{X}{Y} = (n - 1)^{2}$

$\frac{X}{Y} = 1 + \frac{3}{n}$

If $n$ is the principal quantum number of energy level corresponding to energy $X$ , the principal quantum number of energy level $Y$ is $(n + 3)$ as it emit six wavelengths.

$\frac{X}{Y} = \frac{( n + 3 ) ^{2}}{n ^{2}}$

$\Rightarrow \frac{X}{Y} = 1 + \frac{3}{n}$

YX​​=1+n3​

YX​=6n​

YX​=(n−1)2

YX​=1+n3​

If n is the principal quantum number of energy level corresponding to energy X, the principal quantum number of energy level Y is (n+3) as it emit six wavelengths. YX​=n2(n+3)2​ ⇒YX​​=1+n3​

$\frac{X}{Y} = 1 + \frac{3}{n}$

$\frac{X}{Y} = \frac{n}{6}$

$\frac{X}{Y} = (n - 1)^{2}$

$\frac{X}{Y} = 1 + \frac{3}{n}$

If $n$ is the principal quantum number of energy level corresponding to energy $X$ , the principal quantum number of energy level $Y$ is $(n + 3)$ as it emit six wavelengths.

$\frac{X}{Y} = \frac{( n + 3 ) ^{2}}{n ^{2}}$

$\Rightarrow \frac{X}{Y} = 1 + \frac{3}{n}$