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A non-polar molecule with polarzabillity beta is located at a great distance l from a polar molecule with electric moment p. Find the magnitude of the interactionforce betweenthe molecules if the vector p si oriented along astraight line passing through both molecules. |
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Answer» Solution :From the genral formula `VEC(E) = (1)/(4pi epsilon_(0)) (3 vec(p). vec(r ). vec(r ) - vec(p) r^(2))/(r^(5))` `vec(E) = (1)/(4pi epsilon_(0)) (2vec(p))/(l^(3))`, where `r = l`, and `vec(r ) uarr uarr vec(p)` This will cause the induction of a dipole moment. `vec(p_("ind")) = BETA (1)/(4pi epsilon_(0)) (2 vec(p))/(l^(3)) xx epsilon_(0)` THUS the force, `vec(F) = (beta)/(4pi ) (2P)/(l^(3)) (del)/(del l) (1)/(4pi epsilon_(0)) (2p)/(l^(3)) = (3 beta p^(2))/(4pi^(2) epsilon_(0) l^(7))` |
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