A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of…
Physics · JEE Advanced · NTA Exams — Properties of Solids and Liquids
A cylindrical tank having cross sectional area A = 0.5 m2 is filled with two liquids of density ρ1 = 900 kg m–3 and
ρ2 = 600 kg m–3, to a height h = 60 cm each as shown in the figure. A small whole having area a = 5 cm2 is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of cylindrical tank in comparison to mass of liquids (take g = 10 ms–2).
A capillary tube is immersed vertically in water and the height of the water column is x. When this arrangement is taken into a mine of depth d, the height of the water column is y. If R is the radius of the earth, the ratio x/y is
- (1 – d/R)
- (1 + d/R)
- (R – d/R + d)
- (R + d/R – d)
Answer
(A) (1 – d/R)
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