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Asked by Prashant DIGHE | 09 Oct, 2019, 10:03: PM
answered-by-expert Expert Answer
when the container moves down on the inclined plane, acceleration of the container is ( g sinθ ) .
 
Since the container is accelerated downwards, backside of liquid level is greater than front side of liquid level.
 
pressure difference between backside and frontside ≈ ρ g ( h1 - h2 ) cosθ ............(1)
 
If this pressure difference given above is due to acceleration,  then we get,  ρ g ( h1 - h2 ) cosθ = ( ρ L g sinθ )  ..............(2)
 
Hence from eqn.(2), slope of the free surface,  [ ( h1 - h2 )/L ] = tanθ
 
Answered by Thiyagarajan K | 14 Oct, 2019, 08:58: AM
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