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Sahay Sir > Question Answers > NCERT Exemplar Class 11 > Physics > Chapter 13 - Oscillations > A cylindrical piece of cork of base area A and height h floats in a liquid of density ρ1. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T = 2π hρ/ρ1g−−−−√ where ρ is the density of cork. (Ignore damping due to viscosity of the liquid).

A cylindrical piece of cork of base area A and height h floats in a liquid of density ρ1. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T = 2π hρ/ρ1g−−−−√ where ρ is the density of cork. (Ignore damping due to viscosity of the liquid).

In Millikan's oil drop experiment The cylindrical tube of a spray pump has a cross-section of 8.0 cm^2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min^−1 Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water what is the speed of ejection of the liquid through the holes ?