NEET-XII-Chemistry
c2022 year:2022
- #41If radius of second Bolur orbit of the `` He ^{+} `` ion is `` 105.8 `` `` pm `` , what is the radius of third Bohr orbit of `` Li ^{2+} `` ion?
(A) `` 158.7\,Ã… ``
(B) `` 158.7 \,pm ``
(C) `` 15.87\, pm ``
(D) `` 1.587 \,pm ``digAnsr: AAns :
`` \frac{\left( r _{3}\right)_{ L ^{+2}}}{\left( r _{2}\right)_{ He ^{+}}}=\frac{ n _{1}^{2}}{ n _{2}^{2}} \times \frac{ Z _{2}}{ Z _{1}} ``
`` \frac{\left( r _{3}\right)_{ L ^{+2}}}{105.8\, pm }=\frac{3 \times 3}{2 \times 2} \times \frac{2}{3} ``
`` \left( r _{3}\right)_{ Li ^{+2}}=158.7\, pm ``