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4h3h2hh

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For a capillary tube, <br> rh=constant where, r=radius of capillary tube and h=height of rised water in capilliary tube According to the question, <br> `r_(1)h_(1)=r_(2)h_(2)` <br> `rArr" "(r_(1))/(r_(2))=(h_(2))/(h_(1))` . . .. (i) <br> In the first condition, <br> `A_(1)=pir_(1)^(2)` . . .(ii) <br> In the second condition, <br> `A_(2)=pir_(2)^(2)` <br> or `(A)/(9)=pir_(2)^(2)" "[as,A_(2)=(A)/(9)]` . . .(iii) <br> On dividing Eq.(ii) by Eq. (iii), we get <br> `9=(r_(1)^(2))/(r_(2)^(2))" or"(r_(1))/(r_(2))=sqrt(9)rArr(r_(1))/(r_(2))=3` <br> From Eq. (i), we get <br> `(h_(2))/(h_(1))=3rArrh_(2)=3h_(1)` <br> `h_(2)=3h`