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What is the maximum number of emission lines when the excited electron of an H atom in n = 6 drops to the ground state? - Chemistry

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प्रश्न

What is the maximum number of emission lines when the excited electron of an H atom in n = 6 drops to the ground state?

संख्यात्मक

उत्तर

When the excited electron of an H atom in n = 6 drops to the ground state, the following transitions are possible:

Hence, a total number of (5 + 4 + 3 + 2 + 1) 15 lines will be obtained in the emission spectrum.

The number of spectral lines produced when an electron in the nth level drops down to the ground state is given by `("n"("n"-1))/2`

Given, n = 6

Number of spectral lines =` (6(6-1))/2 = 15`

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अध्याय 2: Structure of Atom - EXERCISES [पृष्ठ ७०]

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एनसीईआरटी Chemistry - Part 1 and 2 [English] Class 11
अध्याय 2 Structure of Atom
EXERCISES | Q 2.15 | पृष्ठ ७०

संबंधित प्रश्न

Obtain an expression for the radius of Bohr orbit for H-atom.


Calculate the energy required for the process 

\[\ce{He^+_{(g)} -> He^{2+}_{(g)} + e^-}\]

The ionization energy for the H atom in the ground state is 2.18 ×10–18 J atom–1


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.


The radius of the innermost electron orbit of a hydrogen atom is 5.3 × 10−11 m. What are the radii of the n = 2 and n = 3 orbits?


In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 1011 m with orbital speed 3 × 104 m/s. (Mass of earth = 6.0 × 1024 kg)


On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of the hydrogen atom.


A positive ion having just one electron ejects it if a photon of wavelength 228 Å or less is absorbed by it. Identify the ion.


The light emitted in the transition n = 3 to n = 2 in hydrogen is called Hα light. Find the maximum work function a metal can have so that Hα light can emit photoelectrons from it.


Mention demerits of Bohr’s Atomic model.


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.


If the radius of first electron orbit in hydrogen atom be r then the radius of the fourth orbit ill be ______.


Calculate the energy and frequency of the radiation emitted when an electron jumps from n = 3 to n = 2 in a hydrogen atom.


In form of Rydberg's constant R, the wave no of this first Ballmer line is


An ionised H-molecule consists of an electron and two protons. The protons are separated by a small distance of the order of angstrom. In the ground state ______.

  1. the electron would not move in circular orbits.
  2. the energy would be (2)4 times that of a H-atom.
  3. the electrons, orbit would go around the protons.
  4. the molecule will soon decay in a proton and a H-atom.

The Bohr model for the spectra of a H-atom ______.

  1. will not be applicable to hydrogen in the molecular from.
  2. will not be applicable as it is for a He-atom.
  3. is valid only at room temperature.
  4. predicts continuous as well as discrete spectral lines.

If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å, and (ii) R = 10 Å.


The inverse square law in electrostatics is |F| = `e^2/((4πε_0).r^2)` for the force between an electron and a proton. The `(1/r)` dependence of |F| can be understood in quantum theory as being due to the fact that the ‘particle’ of light (photon) is massless. If photons had a mass mp, force would be modified to |F| = `e^2/((4πε_0)r^2) [1/r^2 + λ/r]`, exp (– λr) where λ = mpc/h and h = `h/(2π)`. Estimate the change in the ground state energy of a H-atom if mp were 10-6 times the mass of an electron.


An electron in H-atom makes a transition from n = 3 to n = 1. The recoil momentum of the H-atom will be ______.


The line at 434 nm in the Balmer series of the hydrogen spectrum corresponds to a transition of an electron from the nth to second Bohr orbit. The value of n is ______.


On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of hydrogen atom.


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