An electron is an excited state of `Li^(2 + )`ion angular mometum `3b//2 pi ` . The de Broglie wavelength of the electron in this state is `p pi s_(0) (where a_(0) ` is the bohr radius ) The value of p is
Text Solution
Verified by Experts
The correct Answer is:
B
Given `m nu r= (3 b)/(2 pi) rArr n = 3 `:. (h r)/(lambda) = (3 h)/(2 pi) [:' lambda= (h)/(m v)]` `:. Lambda = ( 2 pi r )/(3) = (2)/(3) pui [ a_(0) (n^(2))/(z)] [:' r = a_(0) (n^(2))/(z)]` `:. = (2)/(3) pi a_(0) [( 3 xx 3 )/(3)] = 2 ma_(0)` :. :. n = 2 `
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Comprehension Based Questions|2 Videos
MOVING CHARGES AND MAGNETISM
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs(d )|1 Videos
Similar Questions
Explore conceptually related problems
If the de Broglie wavelength of the electron in n^(th) Bohr orbit in a hydrogenic atom is equal to 1.5pia_(0)(a_(0) is bohr radius), then the value of n//z is :
In a H-atom an electron is in 2^(nd) excited state and its radius =4.75Å calculate the de-broglie wavelength of the electron
An electron in the first excited state of if atom obserbed a photon and further excited .The de broglie wavelength of the electron in this state is found to be 13.4Å Find the wavelength of the photon abserbed by the electron in angstroms Also find the longest and the shorted wavelength emitted when this electron de-excited back to the ground state
The radius of first Bohr ortbit is x. The de-Broglie wavelength of electron in 3rd orbit is npix where n=?
The de-broglie wavelength of the electron in the second Bohr orbit is (given the radius of the first orbit r_1 = 0.53 Å)
de-Broglie wavelength of electron in 2^("nd") excited state of hydrogen atom is: [where r_(0) is the radius of 1^("st") orbit in H-atom]
de Broglie wavelength of electron in second orbit of Li^(2+) ion will be equal to de Broglie's wavelength of electron in :
In hydrogen atom,the de Broglie wavelength of an electron in the second Bohr's orbit is ? Given that Bohr radius a_(0)=52.9 pm
SUNIL BATRA (41 YEARS IITJEE PHYSICS)-MODERN PHYSICS-MCQ (One Correct Answer
