Home
Class 10
CHEMISTRY
One electron is made to revolve around a...

One electron is made to revolve around a pro ton and it possesses the least possible energy and another electron is made to revolve around an `alpha`-particle with the same energy. Calculate the ratio of the distances of the electrons from the respective species

Text Solution

Verified by Experts

Revolution of an electron around a proton at the closest distance implies that it is a hydrogen atom in its ground state. Similarly, the other particle is `He^+`. The energy of the electron revolving around the nucleus of `He^+` should be -K.
`therefore-k=(-kz^2)/(n^2)`
`therefore n^2=4[thereforeZ=2]`
`thereforen=2`
The ratio of radii of the first orbit of hydrogen to the second orbit of `He^+=(kxx1^2)/((kxx2^2)/2)=1:2`
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL-2|24 Videos
  • ACIDS, BASES AND SALTS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|9 Videos
  • CHEMICAL KINETICS AND EQUILIBRIUM

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|10 Videos

Similar Questions

Explore conceptually related problems

A proton, a neutron, an electron and an alpha -particle have same energy. Then their de-Broglie wavelengths compare as

In an atom for the electron to revolve around the nucleus, the necessary centripetal force is obtained from the following force exerted by the nucleus on the electro

An electron, an alpha -particle and a proton have the same kinetic energy. Which of these particles has the largest de-Broglie wavelength?

two electron are revolving around a nucleus at distance t and 4 r . The ratio of their periods is

A uniformly charged sphere has charge Q. An electron (charge – e, mass m) revolves around it in a circular orbit of radius r. (a) Write the total energy (i.e., sum of its kinetic energy and electrostatic potential energy in the field of the sphere) of the electron. (b) If the time period of revolution of the electron in circular orbit of radius r is T, then find the time period if the orbital radius is made 4r.

An electron, an alpha -particle, and a photon have the same kinetic energy. Which of these particles has the shortest, de -broglie wavelenght?