Find the quantum of the excited state of electrons in `He^(+)` ion which on transition to first excited state emit photons of wavelengths `108.5 nm`. `(R_(H)=1.09678xx10^(7) m^(-1))`
A. `6`
B. `5`
C. `4`
D. `2`
Correct Answer - A
(A)For `Li^(2+)`, n=6 to n=3
For H, the similar transition is 2 to 1
For `He^+` , the similar transition is 4 to 2
Energy of `4^(th)`...
Correct Answer - B
S=1
t=0
`u=-1/2,1/2`
No of subshell=1 , No of orbital=2
No of electrons =8
S=2
t=0,3
`u=-1/2,1/2`(for t=0)
u=-2,-1,0,+1,+2(for t=3)
No of subshell=2, No of orbital=7
No...
Correct Answer - x=8
We have
`DeltaE=3/4xx0.85eV`
as energy=0.6375 the photon will belong to brackett series (as for brackett`0.31leEle0.85`)
`0.85xx(1-1/4)=13.6(1/4^2-1/n^2)`
`0.85(1-1/4)=13.6/16[1/(4/n)^2] :. 4/n=1/2 implies n=8` Hence x=8
Correct Answer - B
`E_(1) = (hc)/(lambda) [(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]`
For second excited state to first excited state
`E_(1) = (hc)/(lambda) [1/4 - 1/9] rArr (hc)/(lambda) ((5)/(36))`
For first excited state...
Correct Answer - A
`10= .^(n)C_(2) implies n=5`, then 5 orbits are involved upon coming to second excited state
so `n^(th)` excited state is `6^(th) [2^(nd), 3^(rd), 4^(th), 5^(th), 6^(th)]`