Correct Answer - C
Shortest wave length of Lyman series of H-atom
`1/lambda=1/x=R[1/((1)^(2))-1/((oo)^(2))]` So, `x=1/R`
For Balmes series
`1/lambda=R (1)^(2){1/((2)^(2))-1/((3)^(2))}`
`1/lambda=1/x xx5/36` so, `lambda=(36 x)/(5)`
Correct Answer - D
The ground state of hydrogen (n=1) is represented by K, the first excited state (n=2) is represented by L,the second excited state (n=3) is represent byb...
Correct Answer - D
Here, `r_1=5.30xx10^(-11)m,v_1=2.2xx10^6ms^(-1)`
In the second excited state, `r_n=n^2r_1,v_n=(v_1)/(n)`
`therefore r_2=4r_1=4xx5.30xx10^(-11)m=2.12xx10^(-10)m` and `v_2=(v_1)/(2)=(2.2xx10^(6))/(2)ms^(-1)=1.1xx10^(6)ms^(-1)`
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...