Question

Определить скорость молекул серебра в установке Штерна, если диаметры цилиндров 12 и 240 мм, частота вращения 3000 с-1, а смещение полоски серебра 7,6 мм.

Answer 1

25 км/с................

Answer 2

Calculation of the Speed of Silver Molecules in the Stern Apparatus

To determine the speed of silver molecules in the Stern apparatus, we need to use the given information: the diameters of the cylinders, the rotational frequency, and the displacement of the silver strip.

The Stern apparatus is a device used to measure the speed of gas molecules. It consists of two cylindrical chambers with different diameters. The smaller chamber is connected to a vacuum pump, while the larger chamber contains the gas molecules.

The speed of the gas molecules can be calculated using the formula:

v = (ω * r) / (2π)

Where: - v is the speed of the gas molecules, - ω is the rotational frequency of the apparatus, - r is the radius of the larger cylinder.

To calculate the speed of silver molecules in the Stern apparatus, we need to convert the given diameters of the cylinders to radii. The radius of the larger cylinder can be calculated by dividing its diameter by 2.

Given: - Diameter of the smaller cylinder = 12 mm - Diameter of the larger cylinder = 240 mm - Rotational frequency = 3000 s^-1 - Displacement of the silver strip = 7.6 mm

Calculations: - Radius of the smaller cylinder = 12 mm / 2 = 6 mm = 0.006 m - Radius of the larger cylinder = 240 mm / 2 = 120 mm = 0.12 m

Using the formula mentioned above, we can calculate the speed of silver molecules:

v = (3000 s^-1 * 0.12 m) / (2π) = 570.8 m/s

Therefore, the speed of silver molecules in the Stern apparatus is approximately 570.8 m/s.

Please note that the above calculation assumes ideal conditions and does not take into account any other factors that may affect the speed of the silver molecules in the apparatus.