Answer:
The difference in pressure between points B and A is [tex]-3.9\times10^{4}\ Pa[/tex]
(D) is correct option.
Explanation:
Given that,
Density of the liquid = 1200 kg/m³
Speed of fluid at point A= 7.5 m/s
Speed of fluid at point B = 11 m/s
We need to calculate the difference in pressure between points B and A
Using formula of change in pressure
[tex]\Delta P=\dfrac{1}{2}D(v_{2}^2-v_{1}^2)[/tex]
Where, [tex]v_{1}[/tex] = Speed of fluid at point A
[tex]v_{2}[/tex] = Speed of fluid at point B
D = Density of the liquid
Put the value into the formula
[tex]\Delta P=\dfrac{1}{2}\times1200\times(11^2-7.5^2)[/tex]
[tex]\Delta P=-38850\ Pa[/tex]
[tex]\Delta P=-3.9\times10^{4}\ Pa[/tex]
Hence, The difference in pressure between points B and A is [tex]-3.9\times10^{4}\ Pa[/tex]