DP Physics (last assessment 2024)

Question 18M.3.HL.TZ2.a

Date	May 2018	Marks available	[Maximum mark: 3]	Reference code	18M.3.HL.TZ2.a
Level	HL	Paper	3	Time zone	TZ2
Command term	Show that	Question number	a	Adapted from	N/A

[Maximum mark: 3]

18M.3.HL.TZ2.a

Two tubes, A and B, are inserted into a fluid flowing through a horizontal pipe of diameter 0.50 m. The openings X and Y of the tubes are at the exact centre of the pipe. The liquid rises to a height of 0.10 m in tube A and 0.32 m in tube B. The density of the fluid = 1.0 × 10³ kg m^–3.

M18/4/PHYSI/HP3/ENG/TZ2/10

Show that the velocity of the fluid at X is about 2 ms^–1, assuming that the flow is laminar.

[3]

Markscheme

$\frac{1}{2}\rho v_{\text{X}}^2 = {p_{\text{Y}}} - {p_{\text{X}}} = \rho g\Delta h$

v_X = $\sqrt {2 \times 9.8 \times (0.32 - 0.10)}$

v_x = 2.08 «ms^–1»

[3 marks]

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Option B: Engineering physics

Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics) » B.3 – Fluids and fluid dynamics (HL only)

Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics)

Question 18M.3.HL.TZ2.a

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