Home
Class 11
CHEMISTRY
In a hydrogen like ion, nucleus has a po...

In a hydrogen like ion, nucleus has a positive charge Ze Bohr.s quantization rule is, the angular momentum of an electron about the nucleus `l = (nh)/(2pi)`, where n is a positive integer
If electron goes from ground state to `1^(st)` excited state then change in energy of the hydrogen like ion is

A

`(3)/(32) = (m_(e)ze^(4))/(in_(0)^(2)h^(2))`

B

`(-3)/(32) = (m_(e)ze^(4))/(in_(0)^(2)h^(2))`

C

`(1)/(32) = (m_(e)ze^(2))/(in_(0)^(2)h^(2))`

D

`(-1)/(32) = (m_(e)ze^(2))/(in_(0)^(2)h^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise Level - II (Type-I) (Lecture Sheet - 2 (Section -C : Matching/Straight objective type questions))|2 Videos

  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise Level - II (Type-I) (Practice sheet - 2 (Section-A : More than one correct answer type questions))|5 Videos

  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise Level - II (Type-I) (Lecture Sheet - 2 (Section-A : More than one correct answer type questions))|5 Videos

  • AROMATIC HYDROCARBONS

    AAKASH SERIES|Exercise OBJECTIVE EXERCIES - 3 (RECENT AIPMT/NEET QUESTIONS)|10 Videos

  • CHEMICAL BONDING

    AAKASH SERIES|Exercise OBJECTIVE EXERCISE -3 (RECENT AIPMT/NEET QUESTIONS )|39 Videos

Similar Questions

Explore conceptually related problems

The angular momentum of an electron present in the excited state of hydrogen is 1.5h//pi . The electron is present in

The angular momentum of an electron present in the excited state of hydrogen is 1.5h//pi . The electron is present in

The angular momentum of an electron present in the excited state of hydrogen is (2h)/(pi) . The electron present in _______

Atoms are complicated than hydrogen have more than one proton in their nucleus. Let z stands for the number of protons in a nucleus. Also imagine that an atom loses all but one of its electrons so that it changes into a positively charged ion with just one electron. Bohr.s formula for the energy levels of the hydrogen atom can easily be changed to apply to such ions The potential energy of electron in the ground state of He^(+) ion is

Atoms are complicated than hydrogen have more than one proton in their nucleus. Let z stands for the number of protons in a nucleus. Also imagine that an atom loses all but one of its electrons so that it changes into a positively charged ion with just one electron. Bohr.s formula for the energy levels of the hydrogen atom can easily be changed to apply to such ions What minimum amount of energy is required to bring an electron from ground state of Be^(3+) to infinity

Atoms more complicated than hydrogen have more than one proton in their nucleus. Let Z stands for the number of protons in a nucleus. Also imagine that an atom loses all but one of its electrons so that it changes into a positively charged ion with just one electron. Bohr.s formula for the energy levels of the hydrogen atom can easily be changed to apply to such ions. It becomes E_m = (-Z^2 e^4 m_e)/(8 epsi_0^2 h^2 n^2) , where m= mass of electron , e= change of electron, n = orbit number. The ionization potential of Het in ground state is

It is tempting to think that all possible transitions are permissible, and that an atomic spectrum arises from the transition of the electron from any initial orbital to any other orbital. However, this is not so, because a photon has an intrinsic spin angular momentum of sqrt2 (h)/(2pi) corresponding to S = 1 although it has no charge and no rest mass. On the other hand, an electron has got two types of angular momentum : Orbital angular momentum, L=sqrt(l(l+1))h/(2pi) and spin angular momentum, arising from orbital motion and spin motion of electron respectively. The change in angular momentum of the electron during any electronic transition mush compensate for the angular momentum carries away by the photon. to satisfy this condition the difference between the azimuthal quantum numbers of the orbital within which transition takes place must differ by one. Thus, an electron in a d-orbital (1 = 2) cannot make a transition into an s = orbital (I = 0) because the photon cannot carry away enough angular momentum. An electron as is well known, possess four quantum numbers n, I, m and s. Out of these four I determines the magnitude of orbital angular momentum (mentioned above) while (2n m determines its z-components as m((h)/(2pi)) the permissible values of only integers right from -1 to + l. While those for I are also integers starting from 0 to (n − 1). The values of I denotes the sub shell. For I = 0, 1, 2, 3, 4,..... the sub-shells are denoted by the symbols s, p, d, f, g, .... respectively The spin-only magnetic moment of free ion is sqrt(8) B.M. The spin angular momentum of electron will be