Review compound percentage uncertainties in Edexcel A-Level Physics through measured quantities, powers and combined uncertainty calculations.
A student added small lead spheres to a test tube. The student placed the test tube in a small beaker of water. The test tube floated as shown.
The student gave the test tube a small vertical displacement. The test tube then oscillated vertically.
The student replaced the water with another liquid. The period is given by T=\sqrt{ rac{16\pi m}{D^2 ho g}}, where D is the test-tube diameter, m is the mass of the test tube and spheres, and ho is the liquid density.
Show that the percentage uncertainty in ho is about .