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Two cylindrical vessels, each having len...

Two cylindrical vessels, each having length `10m` and area of cross-sectional area of `1 m^(2)`, are filled with water and rotated with angular speed `omega=20rad//s`. Then, which of the following statement is correct ?

A

If both vessels are stopped suddenly, water in vessel `A` will be at higher temperature.

B

If both vessels are stopped suddenly, water in vessel `B` will be at higher temperature.

C

Change in temperature of water in vessel `A` is `1.58^(@)C`

D

Change in temperature of water in vessel `A` is `1.3^(@)C`

Text Solution

Verified by Experts

A has higher kinetic energy than `B`.
`(1)/(3)mL^(2)omega^(2)=mSDeltaT`
`DeltaT=(L^(2)omega^(2))/(3s)=(10^(2)xx20^(2))/(3xx4.2xx10^(3))=(20)/(3xx4.2)=1.58^(@)`
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