Advertisements
Advertisements
प्रश्न
Answer the following question.
Calculate the orbital period of the electron in the first excited state of the hydrogen atom.
Advertisements
उत्तर
`r = 0.53n^2/z xx 10^-10`m
for first excited state n = 2
`r = 0.53 2^2/1 xx 10^-10`
`r = 2.12 xx 10^-10`m
ν = `ν_0 xx Z/n` m/s
`ν = 2.188 xx 10^6 xx Z/n` m/s
For first excited state, n = 2, Z = 1 for hydrogen atom
∴ ν = `2.188 xx 10^6 xx 1/2` m/s
⇒ `ν = 1.094 xx 10^6` m/s
∵ Orbital period = `(2pir)/ν = (2 xx 3.14 xx 2.12 xx 10^-10)/(1.094 xx 10^6)`
⇒ Orbital period = `1.22 xx 10^-15`sec.
संबंधित प्रश्न
Find the frequency of revolution of an electron in Bohr’s 2nd orbit; if the radius and speed of electron in that orbit is 2.14 × 10-10 m and 1.09 × 106 m/s respectively. [π= 3.142]
Lifetimes of the molecules in the excited states are often measured by using pulsed radiation source of duration nearly in the nanosecond range. If the radiation source has a duration of 2 ns and the number of photons emitted during the pulse source is 2.5 × 1015, calculate the energy of the source.
State Bohr postulate of hydrogen atom that gives the relationship for the frequency of emitted photon in a transition.
Obtain Bohr’s quantisation condition for angular momentum of electron orbiting in nth orbit in hydrogen atom on the basis of the wave picture of an electron using de Broglie hypothesis.
Which of the following is/are CORRECT according to Bohr's atomic theory?
(I) Energy is emitted when electron moves from a higher stationary state to a lower one.
(II) Orbits are arranged concentrically around the nucleus in an increasing order of energy.
(III) The energy of an electron in the orbit changes with time.
Hydrogen atom has only one electron, so mutual repulsion between electrons is absent. However, in multielectron atoms mutual repulsion between the electrons is significant. How does this affect the energy of an electron in the orbitals of the same principal quantum number in multielectron atoms?
The Bohr model for the spectra of a H-atom ______.
- will not be applicable to hydrogen in the molecular from.
- will not be applicable as it is for a He-atom.
- is valid only at room temperature.
- predicts continuous as well as discrete spectral lines.
What is meant by ionisation energy?
State the Bohr's postulate of angular momentum of an electron.
Calculate the radius of the second orbit of He+.
