Advertisements
Advertisements
प्रश्न
Would the Bohr formula for the H-atom remain unchanged if proton had a charge (+4/3)e and electron a charge (−3/4)e, where e = 1.6 × 10–19C. Give reasons for your answer.
Advertisements
उत्तर
According to Bohr, for an electron around a stationary nucleus, the electrostatic force of attraction provides the necessary centripetal force.
i.e. `1/(4πε_0) (q_1q_2)/r^2 = (mv^2)/r` ......(i)
Hence the magnitude of electrostatic force F ∞ q1 x q2
If the proton had a charge (+4/3)e and the electron a charge (−3/4)e, then the Bohr formula for the H-atom remains the same, since the Bohr formula involves only the product of the charges which remain constant for given values of charges.
APPEARS IN
संबंधित प्रश्न
Using Rutherford's model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?
In the ground state of ______ electrons are in stable equilibrium, while in ______ electrons always experience a net force.
A classical atom based on ______ is doomed to collapse.
An atom has a nearly continuous mass distribution in a ______ but has a highly non-uniform mass distribution in ______.
Answer the following question, which help you understand the difference between Thomson’s model and Rutherford’s model better.
Keeping other factors fixed, it is found experimentally that for small thickness t, the number of α-particles scattered at moderate angles is proportional to t. What clue does this linear dependence on t provide?
Answer the following question, which help you understand the difference between Thomson’s model and Rutherford’s model better.
In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α-particles by a thin foil?
Define the distance of closest approach. An α-particle of kinetic energy 'K' is bombarded on a thin gold foil. The distance of the closest approach is 'r'. What will be the distance of closest approach for an α-particle of double the kinetic energy?
An electron in an atom revolves round the nucleus in an orbit of radius r with frequency v. Write the expression for the magnetic moment of the electron.
In Geiger-Marsden experiment, actual results were ______.
The first line of Balmer series (Hα) in the spectrum of hydrogen is obtained when an electron of hydrogen atom goes from ______.
In a capillary tube, water rises by 1.2 mm. The height of water that will rise in another capillary tube having half the radius of the first is:
Which one of the following statements does not hold good when two balls of masses m1 and m2 undergo elastic collision?
A radioactive nucleus (initial mass number A and atomic number Z) emits 3 α- particles and 2 positrons. The ratio of the number of neutrons to that of protons in the final nucleus will be:
The equation of trajectory of a projectile is given by y = `"x"/sqrt3 - "gx"^2/20`, where x and y are in metres. The maximum range of the projectile is:
Draw a graph showing the variation of the number of particles scattered (N) with the scattering angle θ in the Geiger-Marsden experiment. Why only a small fraction of the particles are scattered at θ > 90°?
The energy of hydrogen atom in an orbit is −1.51 eV. What are the kinetic and potential energies of the electron in this orbit?
The energy levels of a certain atom for first, second and third levels are E, 4E/3 and 2E, respectively. A photon of wavelength λ is emitted for a transition 3 `→` 1. What will be the wavelength of emission for transition 2 `→` 1?
According to Bohr model, magnetic field at centre (at the nucleus) of a hydrogen atom due to motion of electron in the ninth orbit is proportional to:
In the Rutherford experiment, α-particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?
Radius of the 1st orbit of hydrogen atom is r0. What will be the radius of the 4th orbit?
