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 rads⁻¹. The difference in the height, h (in cm) of liquid at the centre of vessel and at the will be:
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 rads⁻¹. The difference in the height, h (in cm) of liquid at the centre of vessel and at the will be:
Option 1 -
25ω²/2g
Option 2 -
5ω²/2g
Option 3 -
2ω²/25g
Option 4 -
2ω²/5g
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:ρdrω²r = ρgdh
ω²∫? rdr = g∫? dh
ω²R²/2 = gh
h = ω²R²/2g = 25ω²/2g
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