mean root mean square and most probable velocities

Standard Deviation of a statistical data is defined as the positive square root of the arithmetic mean of the squared deviations of items from their arithmetic mean of the series under consideration. The standard deviation is denoted b..

of a statistical data is defined as the positive square root of the arithmetic mean of the squared deviations of items from their arithmetic mean of the series under consideration. The standard deviation is denoted by s (sigma). The standard dev..

The mean deviation (M.D) of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of the items from some average. For an individual series, For a frequency distribution, If M.D is calculated about mean, then it..

The three molecular speeds are expressed as ..

The square root of mean square speed is called root-mean-square speed or rms speed. It is denoted by the symbol v rms . Thus, Equation (iv) may be written as ..

We are now in a position to write the rms speed of the molecules in terms of the absolute temperatur..

AC can be defined in terms of the heat produced in a resistor due to motion of charges. The effective value (I r m s or I e f f ) of the AC is defined as the value of that direct current which produces the heat at the same rate as the alternating current in a given resistor. The AC is represented a..

. The measured values of the velocities of sound in oxygen and hydrogen are 316ms - 1 and 1284ms - 1 at NTP. This closely agrees with the predicted values. According to the kinetic theory of gases, pressure exerted by a gas is given by represents the mean square v..

Probability problems with finite sample spaces Conditional probability Discrete/continuous random variables Mean, variance of discrete random variable Standard distributions Mean, standard deviation of normally distributed random variable Central limi..

In the physical sense, y gives the amplitude of the wave associated with the electron. It is known that in case of light waves, the square of the amplitude of the wave at a point is proportional to the intensity of light. Extending the same concept to electron wave motion, the square..