A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration a along a fixed inclined plane with angle θ$$=45$$∘. $$P1$$ and $$P2$$ are pressure at points $$1$$ and $$2$$, respectively, located at the base of the tube Let β$$=P1$$−$$P2/($$ρ$$gd)$$, where ρ is density of water, d is the inner diameter of the tube and g is the acceleration due to gravity. Which of the following $$statement(s)$$ $$is(are)$$ correct ?

Question

A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration a along a fixed inclined plane with angle θ$$=45$$∘. $$P1$$ and $$P2$$ are pressure at points $$1$$ and $$2$$, respectively, located at the base of the tube Let β$$=P1$$−$$P2/($$ρ$$gd)$$, where ρ is density of water, d is the inner diameter of the tube and g is the acceleration due to gravity. Which of the following $$statement(s)$$ $$is(are)$$ correct ?

Infinity Learn · Accepted Answer

$$P1+$$ρ(2d)a$$−ρ$$g2(2d)=P2P1$$−$$P2=$$ρ$$d($$−$$2a+g)β$$=P1$$−$$P2$$ρ$$gd=$$−$$2ag+1$$ if β$$=0$$⇒$$a=g2$$ if $$a=g2$$ then β$$=2$$−$$12$$

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