The potential energy W of a system of two atoms A and B varies as a function of their distance of separation r as folllows W = -(A)/(r^(n)) + (B)/(r^(m)) where A' and B' are characteristie constant independent of r. The bond distance between A and B that is d_(A -B) is given by :

The potential energy W of a system of two atoms A and B varies as a fu

1.	The potential energy W of a system of two atoms A and B varies as a function of their distance of separation r as folllows W = -(A)/(r^(n)) + (B)/(r^(m)) where A' and B' are characteristie constant independent of r. The bond distance between A and B that is d_(A -B) is given by :
Answer» `d_(A - B) = ((mB')/(nA'))^(1//m - n)` `d_(A - B) = ((nA')/(mB'))^(1//m - n)` `d_(A - B) = (mB')/(nA')` `d_(A - B ) = ((mB')/(nA'))^(m//n)` Solution :`F = (d P. E.)/(DR) = 0` `RARR (d)/(dr) ((-A')/(R^(n)) + (B')/(r^(m))) = 0` `rArr (- (-n) A')/(r^(n + 1)) + ((-m)B')/(r^(m + 1)) = 0` `rArr (nA')/(r^(n +1)) = (mB')/(r^(m + 1))` `rArr (r^(m + 1))/(r^(n + 1)) = (mB')/(nA')` `r^(m - n) = (m)/(n) (B')/(A')` `d_(A - B) = r = ((mB')/(nA'))^(1//m - n)`