If radius of second Bohr orbit of the He + ion is 105 . 8   pm , what is the radius of third Bohr orbit of Li 2 + ion?

Step-by-step solution

According to bohr's model, radius of nth orbit is given by r n = a 0 n 2 Z r n = 52 . 9 n 2 Z in   pm a 0 = 52 . 9 pm r 1 r 2 = r He + r Li 2 + r 1 r 2 = n 1 2 n 2 2 Z 2 Z 1           = 2 2 3 2 3 2 = 2 3 r 1 r 2 = r He + r Li 2 + = 2 3 r He +     of   second   orbit = 105 . 8 pm r Li 2 +   of   third   orbit = 105 . 8   x   3 2 = 158 . 7 pm