Calculate the charge to mass ratio of electron?

Question

Answer

The 2014 CODATA recommended value is =−1.758820024(11)×1011 C/kg. CODATA refers to this as the electron charge-to-massquotient, but ratio is still commonly used. There are two other common ways of measuring the charge-to-mass ratio of an electron, apart from Thomson and Dunnington's methods.

Answer

Answer

Answer

Some fields use the charge-to-mass ratio(Q/m) instead, which is the multiplicative inverse of the mass-to-charge ratio. The 2014 CODATA recommended value for an electronis ​Q⁄m = 1.758820024(11)×1011 C/kg.

Answer

Charge to Mass Ratio of Electron

The charge to mass ratio of an electron is a fundamental physical constant that represents the ratio of the electric charge to the mass of an electron. It is denoted by the symbol 'e/m' and has a value of approximately -1.76 x 10^11 C/kg.

Charge of an Electron
The charge of an electron is a fundamental property that determines its interaction with electromagnetic fields. The charge of an electron is considered negative and is equal to -1.6 x 10^-19 coulombs (C). This charge is quantized, which means that the electron carries a discrete amount of charge.

Mass of an Electron
The mass of an electron is another fundamental property, and it is significantly smaller compared to other particles. The mass of an electron is approximately 9.1 x 10^-31 kilograms (kg).

Calculating the Charge to Mass Ratio
To calculate the charge to mass ratio of an electron, we divide the charge of an electron by its mass:

e/m = -1.6 x 10^-19 C / 9.1 x 10^-31 kg

Simplifying this expression gives us the value of the charge to mass ratio, which is approximately -1.76 x 10^11 C/kg.

This value is negative because the charge of an electron is negative, indicating that the electron carries a negative charge relative to its mass.

Significance of the Charge to Mass Ratio
The charge to mass ratio of an electron is an important constant in physics and plays a crucial role in various areas of study. It is used in many fundamental equations and concepts, such as:

1. Electromagnetism: The charge to mass ratio determines how an electron responds to electric and magnetic fields, enabling the understanding and manipulation of electromagnetic phenomena.

2. Cathode Ray Tube: The charge to mass ratio played a significant role in the development of cathode ray tubes, such as those used in old televisions and computer monitors. By applying electric and magnetic fields, the charge to mass ratio allowed for the manipulation and deflection of electron beams.

3. Particle Physics: The charge to mass ratio is instrumental in the study of particle physics, as it helps identify and characterize subatomic particles, including electrons and other charged particles.

In conclusion, the charge to mass ratio of an electron is a fundamental constant that represents the ratio of the electron's charge to its mass. It is approximately -1.76 x 10^11 C/kg and is essential in understanding the behavior and properties of electrons in various fields of physics.

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