If the container filled with liquid gets accelerated horizontally or vertically, pressure…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids


If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquids gets changed. In case of horizontally accelerated liquid (ax), the free surface has the slope ax/g. In case of vertically accelerated liquid (ay) for calculation of pressure, effective g is used. A closed box with horizontal base 6 m by 6m and a height 2m is half filled with liquid. It is given constant horizontal acceleration g/2 and vertical downward acceleration g/2 .
A cylindrical vessel filled with water is released on an inclined surface of angle θ as shown in the figure. The friction coefficient of surface with vessel is µ (< tan θ). Then the constant angle made by the surface of water with the incline will be
  1. tan–1 µ
  2. θ – tan–1 µ
  3. θ + tan–1 µ
  4. cot–1 µ

Answer

(A) tan –1 µ

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