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JEE Main 202522 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
22 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2025 · 22 January · Evening Shift · Physics · Mechanical Properties of Fluids

A tube of length 1 m is filled completely with an ideal liquid of...

A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is FαM\sqrt{\frac{\mathrm{F}}{\alpha \mathrm{M}}} in SI unit. The value of α\alpha is __________.

Correct answer

0

Step-by-step solution

F=mω2rcmrcm=12 mω=2Fmm=2Mω=FMα=1\begin{aligned} & F=m \omega^2 r_{\mathrm{cm}} \\ & r_{\mathrm{cm}}=\frac{1}{2} \mathrm{~m} \\ & \omega=\sqrt{\frac{2 F}{m}} \\ & m=2 M \\ & \omega=\sqrt{\frac{F}{M}} \\ & \alpha=1\end{aligned})$
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