Advertisements
Advertisements
प्रश्न
Given the ground state energy E0 = - 13.6 eV and Bohr radius a0 = 0.53 Å. Find out how the de Broglie wavelength associated with the electron orbiting in the ground state would change when it jumps into the first excited state.
Advertisements
उत्तर
Ground state energy is E0 = –13.6 eV
Energy in the first excited state = E1 = `(-13.6eV)/(2)^2=-3.4eV`
We know that, the de Broglie wavelength λ is given as
λ = `h/p`
But , p = `sqrt(2mE_1)`
`:.lambda = h/sqrt(2mE_1)`
`=(6.63xx10^(-34))/sqrt(2xx(9.1xx10^(-31))xx(3.4xx1.6xx10^(-19)))`
`=(6.63xx10^(-34))/(9.95xx10^(-25)`
λ = 6.6 x 10-10 m
APPEARS IN
संबंधित प्रश्न
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited? Calculate the wavelengths of the first member of Lyman and first member of Balmer series.
A difference of 2.3 eV separates two energy levels in an atom. What is the frequency of radiation emitted when the atom makes a transition from the upper level to the lower level?
What are means by pair annihilation? Write a balanced equation for the same.
A 12.9 eV beam of electronic is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited ?
Calculate the wavelength of the first member of Paschen series and first member of Balmer series.
A 12.3 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited?
Calculate the wavelengths of the second member of Lyman series and second member of Balmer series.
Draw the energy level diagram showing how the line spectra corresponding to Paschen series occur due to transition between energy levels.
Which transition corresponds to emission of radiation of maximum wavelength?
A Carnot engine absorbs 1000 J of heat energy from a reservoir at 127°C and rejects 600 J of heat energy during each cycle. The efficiency of the engine and temperature of the sink will be:
Energy levels A, B, C of acertain atom corresponding to increasing value of energy, i.e., EA< E8 < Ee. If λ1, λ2 and λ3 are the wavelength of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following statements is correct?
The diagram shows the four energy levels of an electron in the Bohr model of the hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
