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As One Considers Orbits with Higher Values of N in a Hydrogen Atom, the Electric Potential Energy of the Atom - Physics

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प्रश्न

As one considers orbits with higher values of n in a hydrogen atom, the electric potential energy of the atom

पर्याय

  • decreases

  •  increases

  •  remains the same

  • does not increase

MCQ
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उत्तर

increases

The electric potential energy of hydrogen atom with electron at the nth state is given by

V = - `(2xx13.6)/n^2`

As the value of n increases, the potential energy of the hydrogen atom also increases, i.e. the atom becomes less bound as n increases.

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The Line Spectra of the Hydrogen Atom
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पाठ 21: Bohr’s Model and Physics of Atom - MCQ [पृष्ठ ३८३]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 21 Bohr’s Model and Physics of Atom
MCQ | Q 8 | पृष्ठ ३८३

संबंधित प्रश्‍न

If Bohr’s quantisation postulate (angular momentum = nh/2π) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why then do we never speak of quantisation of orbits of planets around the sun?


In which of the following transitions will the wavelength be minimum? 


In which of the following systems will the radius of the first orbit (n = 1) be minimum?


Which of the following curves may represent the speed of the electron in a hydrogen atom as a function of trincipal quantum number n?


The radius of the shortest orbit in a one-electron system is 18 pm. It may be


A hydrogen atom in ground state absorbs 10.2 eV of energy. The orbital angular momentum of the electron is increased by


Let An be the area enclosed by the nth orbit in a hydrogen atom. The graph of ln (An/A1) against ln(n)

(a) will pass through the origin
(b) will be a straight line with slope 4
(c) will be a monotonically increasing nonlinear curve
(d) will be a circle


Ionization energy of a hydrogen-like ion A is greater than that of another hydrogen-like ion B. Let ru, E and L represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state


Whenever a photon is emitted by hydrogen in Balmer series, it is followed by another photon in Lyman series. What wavelength does this latter photon correspond to?


A hydrogen atom in state n = 6 makes two successive transitions and reaches the ground state. In the first transition a photon of 1.13 eV is emitted. (a) Find the energy of the photon emitted in the second transition (b) What is the value of n in the intermediate state?


What is the energy of a hydrogen atom in the first excited state if the potential energy is taken to be zero in the ground state?


A gas of hydrogen-like ions is prepared in a particular excited state A. It emits photons having wavelength equal to the wavelength of the first line of the Lyman series together with photons of five other wavelengths. Identify the gas and find the principal quantum number of the state A.


Find the maximum angular speed of the electron of a hydrogen atom in a stationary orbit.


Suppose, in certain conditions only those transitions are allowed to hydrogen atoms in which the principal quantum number n changes by 2. (a) Find the smallest wavelength emitted by hydrogen. (b) List the wavelength emitted by hydrogen in the visible range (380 nm to 780 nm).


Average lifetime of a hydrogen atom excited to n = 2 state is 10−8 s. Find the number of revolutions made by the electron on the average before it jumps to the ground state.


A hydrogen atom in ground state absorbs a photon of ultraviolet radiation of wavelength 50 nm. Assuming that the entire photon energy is taken up by the electron with what kinetic energy will the electron be ejected?


When a photon is emitted from an atom, the atom recoils. The kinetic energy of recoil and the energy of the photon come from the difference in energies between the states involved in the transition. Suppose, a hydrogen atom changes its state from n = 3 to n = 2. Calculate the fractional change in the wavelength of light emitted, due to the recoil.


In a hydrogen atom the electron moves in an orbit of radius 0.5 A° making 10 revolutions per second, the magnetic moment associated with the orbital motion of the electron will be ______.


The Balmer series for the H-atom can be observed ______.

  1. if we measure the frequencies of light emitted when an excited atom falls to the ground state.
  2. if we measure the frequencies of light emitted due to transitions between excited states and the first excited state.
  3. in any transition in a H-atom.
  4. as a sequence of frequencies with the higher frequencies getting closely packed.

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