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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.
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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
Answer in brief.
State the postulates of Bohr’s atomic model.
For the hydrogen atom, the minimum excitation energy ( of n =2) is ______
The speed of electron having de Broglie wavelength of 10 -10 m is ______
(me = 9.1 × 10-31 kg, h = 6.63 × 10-34 J-s)
What is the energy of an electron in a hydrogen atom for n = ∞?
Calculate the shortest wavelength in the Paschen series if the longest wavelength in the Balmar series is 6563 Ao.
State the postulates of Bohr’s atomic model. Hence show the energy of electrons varies inversely to the square of the principal quantum number.
Using the expression for the radius of orbit for the Hydrogen atom, show that the linear speed varies inversely to the principal quantum number n the angular speed varies inversely to the cube of principal quantum number n.
Which of the following series of transitions in the spectrum of hydrogen atom falls in ultraviolet region?
The magnifying power of a telescope is high, if its objective and eyepiece have respectively ____________.
The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light (c) is ____________.
(h = Planck's constant, ε0 = permittivity of free space, e = charge on electron)
The ratio of the velocity of the electron in the first orbit to that in the second orbit is ____________.
For which one of the following, Bohr model is not valid?
According to Bohr's theory, the expression for the kinetic and potential energy of an electron revolving in an orbit is given respectively by ______.
In hydrogen atom, the de Broglie wavelength of an electron in the first Bohr's orbit is ____________.
[Given that Bohr radius, a0 = 52.9 pm]
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 ____________.
Which of the following models was successful in explaining the observed hydrogen spectrum?
The acceleration of electron in the first orbit of hydrogen atom is ______.
When an electron in hydrogen atom is excited from its 3rd to 5th stationary orbit, tbe change in angular momentum of electron is (Planck's constant: h = 6.62 x 10-34 Js) ____________.
In Bohr model, speed of electron in nth orbit of hydrogen atom is ______. (b = Planck's constant, n = principal quantum number, ∈0 is the permittivity of free space, e = electronic charge)
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] ____________.
When an electron in hydrogen atom jumps from third excited state to the ground state, the de-Broglie wavelength associated with the electron becomes ____________.
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 ______.
Electron in Hydrogen atom first jumps from third excited state to second excited state and then from second excited state to first excited state. The ratio of the wavelengths λ1 : λ2 emitted in the two cases respectively is ______.
The momentum of an electron revolving in nth orbit is given by ______.
The orbital frequency of an electron in the hydrogen atom ______.
The speed of an electron in ground state energy level is 2.6 × 106 ms-1, then its speed in third excited state will be ______.
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)
Show that the angular speed of an electron in the nth Bohr orbit is w = `(πme^4)/(2ε_0^2h^3n^3)` and the corresponding frequency of the revolution of the electron is f = `(me^4)/(4ε_0^2h^3n^3)`.
