JEE Mains · Physics · STD 11 - 3.2 motion in plane
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 \(\sqrt{\frac{\mathrm{F}}{\alpha \mathrm{M}}}\) in SI unit. The value of \(\alpha\) is __________.
- A 5
- B 3
- C 2
- D 1
Answer & Solution
Correct Answer
(D) 1
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & F=m \omega^2 r_{\mathrm{cm}} \\ & r_{\mathrm{cm}}=\frac{1}{2} \mathrm{~m} \\ & \omega=\sqrt{\frac{2 F}{m}} \\ & m=2 M \\ & \omega=\sqrt{\frac{F}{M}} \\ & \alpha=1\end{aligned}\)
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