Advertisements
Advertisements
प्रश्न
The angular momentum of an electron in the 3rd Bohr orbit of a Hydrogen atom is 3.165 × 10-34 kg m2/s. Calculate Plank’s constant h.
Advertisements
उत्तर
Given: L3 = 3.165 × 10-34 kg m2/s, n = 3
To find: Planck’s constant (h)
Formula: Ln = `"n""h"/(2pi)`
Calculation:
From formula,
h = `(2pi"L"_"n")/"n"`
= `(2 xx 3.142 xx 3.165 xx 10^-34)/3`
= 6.284 × 1.055 × 10−34
= antilog {log(6.284) + log(1.055)} × 10−34
= antilog {0.7982 + 0.0232} × 10−34
= antilog{0.8214} × 10−34
= 6.628 × 10−34 Js
The value of Planck’s constant (h) is 6.628 × 10–34 Js.
संबंधित प्रश्न
What is the energy of an electron in a hydrogen atom for n = ∞?
State Bohr's second postulate for the atomic model. Express it in its mathematical form.
Calculate the longest wavelength in the Paschen series.
(Given RH =1.097 ×107 m-1)
Derive an expression for the radius of the nth Bohr orbit for the hydrogen atom.
Calculate the shortest wavelength in the Paschen series if the longest wavelength in the Balmar series is 6563 Ao.
How the linear velocity 'v' of an electron in the Bohr orbit is related to its quantum number 'n'?
Which of the following series of transitions in the spectrum of hydrogen atom falls in ultraviolet region?
Bohr model is applied to a particle of mass 'm' and charge 'q' is moving in a plane under the influence of a transverse magnetic field 'B. The energy of the charged particle in the nth level will be (h = Planck's constant).
With the increase in principal quantum number, the energy difference between the two successive energy levels ____________.
Which of the following statements about the Bohr model of the hydrogen atom is FALSE?
The total energy of an electron in an atom in an orbit is -3.4 eV. Its kinetic and potential energies are, respectively ______.
For an electron, discrete energy levels are characterised by ____________.
If m is mass of electron, v its velocity, r the radius of stationary circular orbit around a nucleus with charge Ze, then from Bohr's second postulate, the kinetic energy `"K.E." = 1/2"mv"^2` of the electron in C.G.S. system is 2 equal to ____________.
The time of revolution of an electron around a nucleus of charge Ze in nth Bohr orbit is directly proportional to ____________.
An electron of mass 'm' is rotating in first Bohr orbit of radius 'r' in hydrogen atom. The orbital acceleration of the electron in first orbit (h = Planck's constant).
The minimum energy required to excite a hydrogen atom from its ground state is ____________.
If n is principal quantum number and r is the radius of the orbit in which electron revolves around nucleus, then its kinetic energy is ____________.
In hydrogen atom, during the transition of electron from nth outer orbit to first Bohr orbit, a photon of wavelength `lambda` is emitted. The value of 'n' is [R =Rydberg's constant] ____________.
Using Bohr's quantization condition, what is the rotational energy in the second orbit for a diatomic molecule. (I = moment of inertia of diatomic molecule, h = Planck's constant)
The de-Broglie wavelength of an electron in 4th orbit is ______.
(r = radius of 1st orbit)
In any Bohr orbit of hydrogen atom, the ratio of K.E to P.E of revolving electron at a distance 'r' from the nucleus is ______.
The relation between magnetic moment of revolving electron 'M' and principle quantum number 'n' is ______.
The momentum of an electron revolving in nth orbit is given by ______.
An electron of mass m and charge e initially at rest gets accelerated by a constant electric field E. The rate of change of de-Broglie wavelength of this electron at time t ignoring relativistic effects is ______.
Let Ee and Ep represent the kinetic energy of electron and photon, respectively. If the de-Broglie wavelength λp of a photon is twice the de-Broglie wavelength λe of an electron, then `E_p/E_e` is ______.
(speed of electron = `c/100`, c = velocity of light)
Ultraviolet light of wavelength 300 nm and intensity 1.0 Wm−2 falls on the surface of a photosensitive material. If one percent of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm2 of the surface is nearly ______.
In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.
Compute the shortest and the longest wavelength in the Lyman series of hydrogen atom.
The radius of the first Bohr orbit in the hydrogen atom is 0.5315 Å. The radius of the second Bohr orbit in the hydrogen atom is ______.
