A tube with a cap on one end, but open at the other end, produces a standing wave whose fundamental frequency is 130.8 Hz. The s

The vessel contains a total air mass of 235.34 kilograms. Assuming the air behaves like an ideal gas, the air's density (in kilograms per cubic meter) can be expressed using the following formula: (1) Where: - Pressure is in kilopascals. - Molar mass is expressed in kilomoles per kilogram. - The ideal gas constant is measured in kilopascal-cubic meters per kilomole-Kelvin. - Temperature is indicated in Kelvin. Given the values of pressure, molar mass, the gas constant, and temperature, we can find the air density. The mass of the air inside the vessel is calculated from the density definition as follows: (2) Where m represents the mass, given in kilograms. With the known values of density and volume in mind, we derive the mass of air stored in the vessel as 235.34 kilograms.

When air is forced into the open pipe,

L =

where n represents any whole number such as 1,2,3,4, etc., and λ denotes the wavelength of the oscillation

This implies λ=

It is important to note that n=1 corresponds to the fundamental frequency, n=2 corresponds to the first harmonic, and so forth.

Thus, the third harmonic will be for n=4

With L=6m and n=4, solving for λ yields:

λ= =3m

The connection between frequency (f), sound speed (c), and wavelength (λ) is given by:

c=f.λ or f=

Therefore, f=

≈115 Hz

Answer:

a) Blood mass is

b) The count of blood cells is  

Explanation:

From the problem statement, we learn that

         The blood volume is  

         The density of blood is  

         % of blood which consists of cells is  = 45.0%

        the % of blood that is  plasma is  = 55.0%

        density of blood cells is  

         % of cells that are white is  = 1%

        % of cells that are red is  = 99%

         The red blood cell diameter is  =

         The red blood cell radius is  

The mass is generally represented mathematically as

               

Substituting values

           

               

Cell mass is = 45% of m

                         = 0.45 * 5,7876

                         = 2.60442 kg

The volume of cells is =

                                     

                                     

The white blood cells volume is = 1% of the cells volume

                                                         

                                                       

The volume of a single cell is

                                                                       

                                                                       

The red blood cells volume is

                                                           

                                                           

The total red blood cell count is  

                                                     

                                                   

The total white blood cell count is  

                                                         

                                                         

The overall number of blood cells is  

                                                       

Answer:

a) Q = C*emf

b)  Decrease in electric field strength and electric potential

c) Initial current through the resistor = emf/R

d) The final charge = K*C*emf

Explanation:

a) The resistors and capacitors are linked in series with the battery

According to Kirchoff's voltage law, the total voltage in the circuit must equal zero

Let represent the Voltage across the Resistor

and

represent the Voltage across the capacitor

Implementing KVL;

.........................(1)

Since this is a series connection, the same current traverses through the circuit

Integrating and into equation (1)

Initially, as the capacitor reaches full charge, the current will drop to zero because of equilibrium

b) When the plastic sheet is inserted between the plates, current begins to flow because both the electric field intensity and electric potential decrease. As a result, charge diminishes, leading to current flow

c) The current through the resistor equates to the total current within the circuit (given the series connection)

Substituting the values of t and I₀ into the aforementioned formula for I

d) Note: The initial charge on the capacitor equals C * emf

Following the insertion of the plastic, the new charge will be:

The electromagnetic spectrum spans from radio waves to gamma rays. The picture provided illustrates this entire spectrum. However, the optical telescope is limited to observing only the visible spectrum, which ranges from 400 nm to 700 nm. This segment reflects the colors of ROYGBIV, with red exhibiting the highest frequency and violet the lowest frequency.