Advertisements
Advertisements
प्रश्न
The wavelength of the second line of the Balmer series in the hydrogen spectrum is 4861 Å. Calculate the wavelength of the first line of the same series.
Advertisements
उत्तर
For the first line in Balmer series:
`1/lambda = R(1/2^2 - 1/3^2) = (5R)/36` ..........(i)
For second Balmer line:
`1/4861 = R(1/2^2 - 1/4^2) = (3R)/16` ............(ii)
Dividing equation (ii) by (i),
`lambda/4861 = (3R)/16 xx 36/(5R)`
`lambda = 4861 xx 27/20 = 6562` Å
APPEARS IN
संबंधित प्रश्न
Show that the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.
Find the wavelength of the radiation emitted by hydrogen in the transitions (a) n = 3 to n= 2, (b) n = 5 to n = 4 and (c) n = 10 to n = 9.
Suppose in an imaginary world the angular momentum is quantized to be even integral multiples of h/2π. What is the longest possible wavelength emitted by hydrogen atoms in visible range in such a world according to Bohr's model?
The ground state energy of hydrogen atoms is -13.6 eV. The photon emitted during the transition of electron from n = 3 to n = 1 unknown work function. The photoelectrons are emitted from the material with a maximum kinetic energy of 9 eV. Calculate the threshold wavelength of the material used.
How will the energy of a hydrogen atom change if n increases from 1 to ∞?
In Bohr's atomic model of hydrogen, let K. P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level:
If 13.6 eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from n = 2 is ______.
What is the energy of an electron in stationary state corresponding to n = 2?
The total energy of an electron in the nth orbit of the hydrogen atom is proportional to ______.
Specify the transition of an electron in the wavelength of the line in the Bohr model of the hydrogen atom which gives rise to the spectral line of the highest wavelength ______.
