Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2019-Paper-1 A cylindrical capillary tube of 0.2 mm radiu…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2019-Paper-1 Single Correct MCQ
Published on: August 13, 2026

A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries ti and T 2 of different materials having water contact angles of 0° and 60°, respectively. The capillary tube is dipped vertically in water in two different configurations, case I and II as shown in figure. Which of the following option(s) is (are) correct? [Surface tension of a water = 0.075 N/m, density of water = 1000 kg/m 3 , take g = 10 m/s 2 ]

A
For case I, if the joint is kept at 8 cm above the water surface, the height of water column in the tube will be 7.5 cm. (Neglect the weight of the water in the meniscus)
B
For case I, if the capillary joint is 5 cm above the water surface, the height of water column raised in the tube will be more than 8.75 cm. (Neglect the weight of the water in the meniscus)
C
For case II, if the capillary joint is 5 cm above the water surface, the height of water column raised in the tube will be 3.75 cm. (Neglect the weight of the water in the meniscus)
D
The correction in the height of water column raised in the tube, due to weight of water contained in the meniscus, will be different for both cases.

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The correct answer is:
CHECK THE SOLUTION.

(a, c, d)

When T 1 is in contact with water

then = 7.5cm<8cm.

But in option height is insufficient.

When T 2 is in contact with water

then h = = 3.75cm<5cm

Volume of water in the meniscus depends upon the angle of contact.

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