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Grade 11Mechanics

Q.6 When at rest, liquid stands at the same level in a u tube . but as indicated , a height difference H occur when the system is given an acceleration a towards right. Then h equal to

Question image for Q.6 When at rest, liquid stands at the same level
Profile image of Rankush
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 Years ago
a
The water surface while accelerated will lie as shown. with lines of constant pressure parallel to the surface.
 
Take an element of water between lines of constant pressure.
 
now
 
 
a * delta p sin theta= ma
a * delta p cos theta = mg
 
 
tan theta = a/g = h/L
 
hence h = aL/g