The mass of the liquid flowing per second per unit area of cross section of a tube is proportional to Pxandvy, 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 [ML−2T−1]=[ML−1T−2]x[LT−1]y [ML−2T−1]=[MxL−x+yT−2x−y] ⇒x=1,−x+y=−2 y=−2+1 =−1 ⇒x=−y