# Physics

A horizontal pipe narrows from a diameter of 10 to 5 cm. For an incompressible fluid flowing from the larger diameter to the smaller:

Question 5 options:

1.the velocity and pressure both increase.

2.the velocity increases and the pressure decreases.

3.the velocity decreases and the pressure increases.

4.the velocity and pressure both decrease.

5.the velocity increases but the pressure is unchanged.

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1. along a streamline for example down the center Bernoulli equation applies:

p + (1/2) rho v^2 = constant if height does not change

When the diameter decreases, the same amount per second has to flow through a smaller area so velocity increases (continuity)

Therefore
smaller diameter --> faster flow and by Bernoulli thus lower pressure -->2

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2. Thank you so much!

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