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Question

The mass of the liquid flowing per second per unit area of cross section of a 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
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B
x = - y
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C
y2=x
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D
y=x2
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Solution

The correct option is B x = - y
[m]=[p]x[v]y
[ML2T1]=[ML1T2]x[LT1]y
[ML2T1]=[MxLx+yT2xy]
x=1,x+y=2
y=2+1
=1
x=y

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