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Questions  

The mass of the liquid flowing per second per unit area of cross section of the tube is proportional to Px and vy , where P is the pressure difference and v is the velocity, then the relation between x and y is

a
x=y
b
x=-y
c
y2=x
d
y=-x2

detailed solution

Correct option is B

MAt∝Pxvy⇒ ML−2T−1=ML−1T−2xL1T−1y⇒ ML−2T−1==MxL−x+yT−2x−yon comparing we get x=1,−x+y=−2, and −2x−y=−1From here, we get y = -1.Thus, x = -y.

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