Question

Кто силен в Физике, подскажите как решить:Пройдя ускоряющую разность потенциалов U=600 кВ, альфа частица, летевшая со скоростью 5,4 Мм/с увеличила свою скорость на 3,9 Мм/с. Заряд альфа частицы равен 3,2*10в -19 степени Кл. Определить работу совершённую полем при разгоне частицы, удельный заряд альфа частицы(отношение заряда к массе), считая массу неизвестной.

Answer 1

Используя формулу работа равная заряд частицы умножаешь на разность потенциалов. A=qU
так как скорость увеличилась то скорость полученная в результате разгона равна V=5.4 Mм/с + 3,9 Мм/с= 9,3Мм/с=9,3*10 в 6 степени отсюда находим работу совершенную для разгона частицы на эту самую скорость.
A=3.2*10 в (-19) степени *9,3 *10 в 6 степени=29,76*10 в (-13) степени
или 2,976*10 в (-12) степени = 2,976 пДж ( пико Джоуль)

Answer 2

The Problem and Given Information

To solve the problem, we are given the following information: - The accelerating potential difference (voltage) U = 600 kV. - An alpha particle with a charge q = 3.2 x 10^-19 C. - The initial velocity of the alpha particle v1 = 5.4 Mm/s. - The change in velocity of the alpha particle Δv = 3.9 Mm/s.

We need to determine the following: 1. The work done by the electric field during the acceleration of the particle. 2. The specific charge (charge-to-mass ratio) of the alpha particle.

Solution

1. Work Done by the Electric Field: The work done by the electric field on a charged particle can be calculated using the formula:

Work = q * ΔV

where q is the charge of the particle and ΔV is the change in potential.

In this case, the charge of the alpha particle is q = 3.2 x 10^-19 C and the potential difference is ΔV = U = 600 kV = 600 x 10^3 V.

Substituting these values into the formula, we can calculate the work done:

Work = (3.2 x 10^-19 C) * (600 x 10^3 V)

Calculating this expression will give us the work done by the electric field during the acceleration of the alpha particle.

2. Specific Charge (Charge-to-Mass Ratio): The specific charge (charge-to-mass ratio) of a particle can be calculated using the formula:

Specific Charge = q / m

where q is the charge of the particle and m is the mass of the particle.

In this case, we are not given the mass of the alpha particle. However, we can still determine the specific charge without knowing the mass. This is because the specific charge is a property of the particle and is independent of its mass.

To calculate the specific charge, we need to know the charge of the particle (already given as q = 3.2 x 10^-19 C). We can then express the specific charge as a ratio of the charge to the unknown mass:

Specific Charge = (3.2 x 10^-19 C) / m

Calculating this expression will give us the specific charge of the alpha particle.

Calculation

Let's calculate the values using the given information:

1. Work Done by the Electric Field: Work = (3.2 x 10^-19 C) * (600 x 10^3 V)

2. Specific Charge (Charge-to-Mass Ratio): Specific Charge = (3.2 x 10^-19 C) / m

Please note that we cannot determine the specific charge without knowing the mass of the alpha particle. However, we can still calculate the work done by the electric field using the given information.