Question

Электрон и протон, двигаясь с одинаковой скоростью, попадают в однородное магнитное поле. Сравните радиусы кривизны траекторий протона и электрона.

Answer 1

Траектория электрона будет круче, так как его масса меньше чем у протона.

Answer 2

Comparing the Radii of Curvature of Proton and Electron Trajectories in a Uniform Magnetic Field

When an electron and a proton move with the same velocity and enter a uniform magnetic field, their trajectories will differ due to their different masses and charges.

Electron: The radius of curvature of the electron's trajectory can be calculated using the formula: R = (m*v)/(q*B), where: - m is the mass of the electron, - v is the velocity of the electron, - q is the charge of the electron, and - B is the magnetic field strength.

Proton: The radius of curvature of the proton's trajectory can be calculated using the same formula: R = (m*v)/(q*B), where: - m is the mass of the proton, - v is the velocity of the proton, - q is the charge of the proton, and - B is the magnetic field strength.

The key difference lies in the mass and charge of the electron and proton, which will result in different radii of curvature for their trajectories.

Based on the given information, the radii of curvature for the electron and proton can be compared using the same formula, taking into account their respective masses and charges.