Q.

The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of their densities is 13.6. Their contact angles with glass are 135°C and 0°C respectively. It is observed that mercury gets depressed by an amount h in a capillary tube of radius r1 while water rises by the same amount h is a capillary tube of radius r2. Then r1r2 is

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a

35

b

23

c

45

d

25

answer is C.

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Detailed Solution

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h=2Tcosθrρg
rHgrw=THgTwcosθHgcosθwρwρHg=7.512113.6=0.4=25

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