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JEE Main 2020 (2 Sep, Shift 1) · Pressure in a Fluid

Pressure in a Fluid question from JEE Main 2020 (2 Sep, Shift 1)

Q20JEE Main 2020 · 2 SEP · SHIFT 1Difficult

Pressure in a Fluid

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is ω\omega rad s–1. The difference in the height, h (in cm) of liquid at the centre of vessel and at the side will be:

Figure

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Answer: (c)

  1. Free surface of a rotating liquid is a paraboloid: h=ω2r22gh = \dfrac{\omega^2 r^2}{2g}.
  2. Radius r=5 cmr = 5\text{ cm} (diameter 10 cm).
  3. h=ω2(5)22g=25ω22gh = \dfrac{\omega^2 (5)^2}{2g} = \dfrac{25\omega^2}{2g}
  4. So the answer is (c).
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