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A thin V-shaped glass tube is fixed in t...


A thin V-shaped glass tube is fixed in the vertical plane as shown. Innitially the left part of the tube contains a column of water of length `d=sqrt(2)`m. A valve at the bottom of the tube prevents the water from moving to right part. At some time, the valve is quickly opened neglecting friction find the time (in seconds) it takes for the water to move completely into the right part of the tube. (Take `g=pi^(2)m//s^(2))`

Text Solution

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The correct Answer is:
1
The water of density `rho` will execute SHM inside the fixed v-shape glass tube with time period
`T=2pisqrt((m)/(2rhoAgcos45^(@)))`
When `m=` mass of water and `A=` cross-sectional area of tube `T=2pisqrt((d)/(sqrt(2)g))`
Hence the required time is half the time period of oscillation.
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