The emission spectrum of hydrogen is found to satisfy the expression for the energy change `Delta E` (in joules) such that
`Delta E = 2.18 xx 10^(-18)((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))J`
where `n_(1) = 1,2,3,....` and `n_(2) = 2,3,4,...` The spectral lines correspond to Paschen series if

For the Paschen series the value of n_(1) and n_(2) in the expression Delta E= Rhc ((1)/(n_(1)^(2))-(1)/(n_(2)^(2))) are

For the Paschen series thr values of n_(1) and n_(2) in the expression Delta E = R_(H)c [(1)/(n_(1)^(2))-(1)/(n_(2)^(2))] are

For the Paschen series thr values of n_(1) and n_(2) in the expression Delta E = R_(H)c [(1)/(n_(1)^(2))-(1)/(n_(2)^(2))] are

If in a hydrogen spectrum, n_(1)=2andn_(2)=3,4,5... then the series is called _______ series.

The Lyman series of the hydrogen spectrum can be represented by the equation v = 3.2881 xx 10^(15)s^(-1)[(1)/((1)^(2)) - (1)/((n)^(2))] [where n = 2,3,…….) Calculate the maximum and minimum frequencies of the lines in this series

The Lyman series of the hydrogen spectrum can be represensted by the equation v = 3.2881 xx 10^(15)s^(-1)[(1)/((1)^(2)) - (1)/((n)^(2))] [where n = 2,3,…….) Calculate the maximum and minimum wavelength of the lines in this series

For balmer series in the spectrum of atomic hydrogen the wave number of each line is given by bar(V)=R_(H)(1)/(n_(1)^(2))-(1)/(n_(2)^(2)) where R_(H) is a constant and n_(1) and n_(2) are integers which of the following statement (S) is / are correct 1 as wavelength decreases the lines in the series converge 2 The integer n_(1) is equal to 2 3 The ionization energy of hydrogen can be calculated from the wave number of these lines 4 The line of longest wavelength corresponds to n_(2)=3

The only electron in the hydrogen atom resides under ordinary conditions on the first orbit. When energy is supplied, the electron moves to higher energy orbit depending on the amount of energy absorbed. When this electron returns to any of the lower orbits, it emits energy. Lyman series is formed when the electron returns to the lowest orbit while Balmer series is formed when the electron returns to second orbit. Similarly, Paschen, Brackett and Pfund series are formed when electron returns to the third, fourth orbits from higher energy orbits respectively (as shown in figure) Maximum number of lines produced when an electron jumps from nth level to ground level is equal to (n(n-1))/(2) . For example, in the case of n = 4, number of lines produced is 6. (4 rarr 3, 4 rarr 2, 4 rarr 1, 3 rarr 2, 3 rarr 1, 2 rarr 1) . When an electron returns from n_(2) to n_(1) state, the number of lines in the spectrum will be equal to ((n_(2) - n_(1))(n_(2)-n_(1) +1))/(2) If the electron comes back from energy level having energy E_(2) to energy level having energy E_(2) then the difference may be expressed in terms of energy of photon as E_(2) - E_(1) = Delta E, lambda = (h c)/(Delta E) . Since h and c are constant, Delta E corresponds to definite energy, thus each transition from one energy level to another will prouce a higher of definite wavelength. THis is actually observed as a line in the spectrum of hydrogen atom. Wave number of the line is given by the formula bar(v) = RZ^(2)((1)/(n_(1)^(2)) - (1)/(n_(2)^(2))) Where R is a Rydberg constant (R = 1.1 xx 10^(7)) (i) First line of a series : it is called .line of logest wavelength. or .line of shortest energy.. (ii) Series limit of last of a series : It is the line of shortest wavelength or line of highest energy. The difference in the wavelength of the 2^(nd) line of Lyman series and last line of Bracket series in a hydrogen sample is