Answer to Question #144294 in General Chemistry for jack

Question

The light with a wavelength of 95.1 nm absorbed by an electron in an atom of hydrogen. If electron
was at ground level initially (n1 = 1), what is the final energy level (n2) after excitation?
c = 2.998 × 108 m s−1 g = 9.8 m s−2 h = 6.626 × 10−34J s RH = 2.179 × 10−18 J
1 atm = 760 torr 1 atm = 760 mmHg 1 atm = 101325 Pa 1 atm = 1.01325 bar
R = 0.08206 L atm mol−1 K−1 R = 8.314 J mol−1 K−1 1 J = 1 kg m2 s−2 1 cal = 4.18 J

Answer 1

Here, Z=1. We can derive the expression for the time period of electron in nth orbit asTn​=fn​
1​∝n3
Hence T2​
T1​​=n23​
n13​​. As T1​=8T2​, therefore we get
8=(n2​
n1​​)3⇒n1​=2n2​
Thus, the possible values of n1​ and n2​ are n1​=2,n2​=1;n1​=4,n2​=2;n1​=6,n2​=3 and so on.