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Q.

Lower end of capillary tube of radius 10-3 m is dipped vertically into a liquid. Surface tension of liquid is 0.5 N/m and specific gravity of liquid is 5. Contact angle between liquid and material of capillary tube is 120°. Choose the correct options (useg=10m/s2)

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a

Maximum possible depression of liquid column in the capillary tube is 1 cm

b

Maximum possible depression of mercury column in the capillary tube is 2 cm

c

If the length of the capillary tube dipped inside mercury is half of the maximum possible depression of mercury column in the capillary tube, angle made of the mercury surface at the end of the capillary tube with the vertical, is cos-114

d

If the length of the capillary tube dipped inside mercury is one third of the maximum possible depression of mercury column in the capillary tube, angle made by the mercury surface the end of the capillary tube with the vertical is cos116

answer is A, C, D.

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Detailed Solution

Hmax=2Tcosθrρg=1cm

Hcosθc

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