Determining Charge-to-Mass Ratio of Electron & Pi-Particle

[rojasharma]

The charge-to mass ratio of the $$\pi-$$particle was determined. The charge-to-mas ratio of the electron is 1.76x10^11C/kg. a) predict which particle has a greater mass-the electron, or the $$\pi-$$particle. b) use the value of the elmentary charge to calculate the mass of the $$\pi-$$particle in kg. Compare the mass of the $$\pi-$$particle to the mass of the electron.
for a) i think charge has greater mass... b) i think i have to use q/m=c/r, but i don't have a value for r.

 

[BigJDubs]

For part a) the electron has a greater mass than the pi-particle. For part b) you can use the value of the elementary charge, e, to calculate the mass of the pi-particle. The equation would be m = e/c, where c is the charge-to-mass ratio of the pi-particle (1.76 x 10^11 C/kg). This gives a mass of 5.68 x 10^-30 kg for the pi-particle. The mass of the electron is 9.11 x 10^-31 kg, so the pi-particle is about 6 times more massive than the electron.

 

[Moetasim]

a) Based on the given information, the electron has a greater mass than the \pi-particle. This can be determined by comparing their charge-to-mass ratios, where the electron has a higher value.

b) To calculate the mass of the \pi-particle, we can rearrange the equation q/m=c/r to m=q/(c/r). We know that the charge-to-mass ratio of the \pi-particle is already determined, so we can substitute the value of 1.76x10^11C/kg for q. The value of c, the speed of light, is a constant of 2.998x10^8 m/s. The radius r is not given in the question, so we cannot calculate the mass of the \pi-particle without this information.

Comparing the mass of the \pi-particle to the electron, we can see that the mass of the \pi-particle is significantly larger. This is because the charge-to-mass ratio of the \pi-particle is much smaller than that of the electron, indicating that the \pi-particle has a larger mass. However, without the value of the radius, we cannot accurately determine the exact mass of the \pi-particle.