Radius of 3^(rd) orbit of Li^(2+) ion is x cm then which is not the de Broglie wavelength of electrons in the first orbit is (in cm)

Radius of 3^(rd) orbit of Li^(2+) ion is x cm then which is not the de

1.	Radius of 3^(rd) orbit of Li^(2+) ion is x cm then which is not the de Broglie wavelength of electrons in the first orbit is (in cm)
Answer» `6pix ` `(2PI x)/(9)` `(2pi x )/(3)` `(8pi x)/(3)` Solution :`r prop (n^2)/(Z) , (r_1)/(r_3) = (n_1^2)/(n_2^2) = 1/(3^2) = 1/9 , r_1 = x/9 [therefore r_3 = x]` `therefore 2 pi r = n LAMBDA` `therefore 2 pi xx x/9 = 1 xx lambda = (2pi x)/(9)`