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Physics (AS & A Level) · Feb / March 2023 · Paper 12 · Question 14

9702Density and pressure

A probe is used to monitor the quality of the water in the sea. The probe is suspended by a vertical string which is attached to a sphere. The stationary sphere floats in equilibrium on the surface of the sea, as shown. The sphere has a weight of 5.00 N. The probe and string have a combined weight of 2.00 N. The density of the seawater is 1.03 × 10^3 kg m^-3. The upthrust acting on the probe and thread is negligible. What is the volume of the sphere below the surface of the sea?

  1. A1.98 × 10^-4 m^3
  2. B2.97 × 10^-4 m^3
  3. C4.95 × 10^-4 m^3
  4. D6.93 × 10^-4 m^3

As printed in the paper

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Correct answer: D. 6.93 × 10^-4 m^3

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