Advertisements
Advertisements
प्रश्न
What is the minimum energy that must be given to a H atom in ground state so that it can emit an Hγ line in Balmer series. If the angular momentum of the system is conserved, what would be the angular momentum of such Hγ photon?
Advertisements
उत्तर
We know that Hγ spectral line in the Balmer series is formed when an electron falls from n = 5 to n = 1.
Here the electron is in the ground state ie., n = 1 and must be taken to n = 5 for Hγ line.
So the energy of H? = `E_5 - E_1 = (13.6/5^2) - (- 13.6)`
= – 0.54 + 13.6
= 13.06 eV
Since angular momentum, is conserved, so the angular momentum of Hγ = change in angular momentum of the electron
= L5 – L2 – 5h – 2h
= 3h = 3 × 6.63 × 10–34
= 19.89 × 10–34 kg m2/s
APPEARS IN
संबंधित प्रश्न
Which of the following transition will have highest emission wavelength?
Which of the following is TRUE?
Which of the following transition will have highest emission frequency?
The energy (in eV) required to excite an electron from n = 2 to n = 4 state in hydrogen atom is ____________.
Let v1 and v3 be the frequency for series limit of Balmer and Paschen series respectively. If the frequency of first line of Balmer series is v2 then, relation between v1 and v2 and v3 is ____________.
The radii of the first four Bohr orbits of hydrogen atom are related as ____________.
If the mass of the electron is reduced to half, the Rydberg constant ______.
In hydrogen spectrum, the wavelengths of light emitted in a series of spectral lines is given by the equation, `1/lambda` = R `(1/4^2 - 1/"n"^2)`, where n = 5, 6, 7...... and 'R' is Rydberg's constant. Identify the series and wavelength region.
Each element is associated with a ______.
Continuous spectrum is produced by ______.
Deutrium was discovered in 1932 by Harold Urey by measuring the small change in wavelength for a particular transition in 1H and 2H. This is because, the wavelength of transition depend to a certain extent on the nuclear mass. If nuclear motion is taken into account then the electrons and nucleus revolve around their common centre of mass. Such a system is equivalent to a single particle with a reduced mass µ, revolving around the nucleus at a distance equal to the electron-nucleus separation. Here µ = meM/(me + M) where M is the nuclear mass and m e is the electronic mass. Estimate the percentage difference in wavelength for the 1st line of the Lyman series in 1H and 2H. (Mass of 1H nucleus is 1.6725 × 10–27 kg, Mass of 2H nucleus is 3.3374 × 10–27 kg, Mass of electron = 9.109 × 10–31 kg.)
The first three spectral lines of H-atom in the Balmer series are given λ1, λ2, λ3 considering the Bohr atomic model, the wavelengths of the first and third spectral lines `(lambda_1/lambda_3)` are related by a factor of approximately 'x' × 10–1. The value of x, to the nearest integer, is ______.
The frequencies for series limit of Balmer and Paschen series respectively are 'v1' and 'v3'. If frequency of first line of Balmer series is 'v2' then the relation between 'v1', 'v2' and 'v3' is ______.
The frequency of the series limit of the Balmer series of the hydrogen atoms of Rydberg’s constant R and velocity of light c is ______.
Find the wavelength and wave number of the first member of the Balmer series in Hydrogen spectrum. (`R =1.097xx10^7m^(-1)`)
