10 



3 - 



Th2 latter expression gives the rate o' increase of the water '.nergy (E) 



N ow V = V 



° ^" 1 



2n 



and P = ^ ^. 3 5: a,^ ( S 



2m + 1 



*. it 



\\\ 



SO that — = "^ P ^n ''n ^^ 



^- ^ «2n ^2m 



^„ W M^"^*^"*^ '♦x 



Using ths value 0I (p i" (5) *t find 



u o V ^ a' I a,. R„ 2 



' Z' % « 



2n n 



m-o 2(m + n) + 3 



in which "„ 



M^" ^ ^ K<^ 



(l*) 



Evaluating this integral 



p = 1 , R = 5 , R = ^ , R. = 121 etc. 

 1 9 ^ 225 ' 1225 



