Question

Протон и электрон двигаясь с одинаковой скоростью v влетают в однородное магнитное полн перпендикулярно линиям индукции. Во сколько раз отличаются радиусы окружностей,которые описывают частицы

Answer 1

R=m*V/q*B
Rp=mp*V/q*B
Re=me*V/q*B
Rp/Re=mp/me=1,67*10^-27/9,1*10^-31=1836
Rp>Re в 1836 раз.

Answer 2

Calculating the Difference in Radii of the Circular Paths for Proton and Electron

When a proton and an electron move with the same velocity v and enter a uniform magnetic field perpendicular to the lines of induction, they will move in circular paths due to the magnetic force acting on them.

The radius of the circular path for a charged particle moving in a magnetic field is given by the formula:

r = (m*v)/(q*B)

Where: - r = radius of the circular path - m = mass of the particle - v = velocity of the particle - q = charge of the particle - B = magnetic field strength

To find the ratio of the radii of the circular paths for the proton and the electron, we can use the fact that the mass and charge of the proton and the electron are different.

The mass of a proton is approximately 1836 times the mass of an electron, and the charge of a proton is equal in magnitude but opposite in sign to the charge of an electron.

Using the given formula for the radius of the circular path, we can calculate the ratio of the radii for the proton and the electron.

The ratio of the radii of the circular paths for the proton and the electron is approximately 1836.

This means that the radius of the circular path for the proton is approximately 1836 times larger than the radius of the circular path for the electron when they move with the same velocity and enter a uniform magnetic field perpendicular to the lines of induction.