1.

In the above question, R is maximum when :

Answer»

h = H
h = 0
h = H/2
h = H/3

Solution :R will be MAXIMUM if `(dR)/(dh)=0`
`d/(dh){2[hH-h^(2)]^(1//2)}=0`
`=2 .1/2(hH-h^(2))^(-1//2).(H-2h)=0`
`(H-2h)/([hH-h^(2)]^(1//2))=0rArrH-2h=0`
`h=H/2`
THUS correct choice is (C).


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