Question

An electron is moving in Bohr's fourth orbit. Its de-Broglie wavelength is λ Calculate the circumference of the fourth orbit.
(A)2λ
(B)4λ
(C)4/λ
(D)2/λ​

Answer 1

answer : option (B) 4λ

explanation : we know, “circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.”

i.e., if an electron revolving around the nth orbit and De-broglie's wavelength associated with it is λ then, circumference of nth orbit is nλ.

here given, electron is moving in 4th orbit and its De-broglie's wavelength is λ.

so, circumference of 4th orbit = 4λ

hence, option (B) is correct choice.