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Answer in brief.
State the postulates of Bohr’s atomic model.
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 = ∞?
State any two limitations of Bohr’s model for the hydrogen atoms.
Calculate the wavelength for the first three lines in the Paschen series.
(Given RH =1.097 ×107 m-1)
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.
The magnifying power of a telescope is high, if its objective and eyepiece have respectively ____________.
Using Bohr's model, the orbital period of electron in hydrogen atom in nth orbit is (ε0 = permittivity of free space, h = Planck's constant, m = mass of electron and e = electronic charge)
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).
The wavelength of the first line in Balmer series in the hydrogen spectrum is 'λ'. What is the wavelength of the second line in the same series?
For which one of the following, Bohr model is not valid?
When hydrogen atom is in its first excited level, its radius is how many time its ground state radius?
According to Bohr's theory, the expression for the kinetic and potential energy of an electron revolving in an orbit is given respectively by ______.
If the speed of an electron of hydrogen atom in the ground state is 2.2 x 106 m/s, then its speed in the third excited state will be ______.
The acceleration of electron in the first orbit of hydrogen atom is ______.
The time of revolution of an electron around a nucleus of charge Ze in nth Bohr orbit is directly proportional to ____________.
Ratio of centripetal acceleration for an electron revolving in 3rd orbit to 5th orbit of hydrogen atom is ______.
An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?
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 ______.
When an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength 'λ'. When it jumps from the fourth orbit to third orbit, the wavelength emitted by the photon will be ______.
The 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 is ______.
(b =Planck's constant)
What is the mathematical formula for the third postulate of Bohr's atomic model?
Which of the following series of transition of hydrogen spectrum falls in visible region?
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)
In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.
What is the origin of spectral lines? Obtain an expression for the wave number of a line in hydrogen spectrum.
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 ______.