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JEE Advanced2019PhysicsMechanical Properties of FluidsActual

A cylindrical capillary tube of 0.2 m m radius is made by joining two capillaries T 1 and T 2 of different materials having water contact angles of 0 o and 60 o , 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 water = 0.075 N / m , density of water = 1000 k g / m 3 ,

Options

  1. AFor case II, if the capillary joint is 5 c m above the water surface, the height of water column raised in the
  2. BFor case I, if the joint is kept at 8 c m above the water surface, the height of water column in the tube will
  3. CThe correction in the height of water column raised in the tube, due to weight of water contained in the menis
  4. DFor case I, if the capillary joint is 5 c m above the water surface, the height of water column raised in the

Correct answer

A. For case II, if the capillary joint is 5 c m above the water surface, the height of water column raised in the

Step-by-step solution

Heights if only single material tubes are used of sufficient length, For table T 1 ⇒ h 1 = 2 T c o s θ p r g = 2 × 0.075 × c o s 0 K d 1000 × 2 × 10 - 4 × 10 = 7.5 c m For table T 2 ⇒ h 2 = 2 T c o s θ ′ p r g = 2 × 0.075 × c o s 60 ° 1000 × 2 × 10 - 4 × 10 = 3.75 c m Weight of water in meniscus will be different in two cases because angle of contact is different ⇒ C is correct. Liquid will rise only upto height of 5 c m and meniscus will adjust by changing is radius of curvature. If the liquid goes up in tube 2 th

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