Problem 57
Question
Arrange the following particles in order of increasing mass: electron, \(\beta\) particle, positron, proton, neutron, \(\alpha\) particle, deuteron.
Step-by-Step Solution
Verified Answer
Question: Arrange the given particles in order of their increasing mass: electron, beta particle, positron, proton, neutron, alpha particle, and deuteron.
Answer: electron, beta particle, positron, proton, deuteron, neutron, alpha particle
1Step 1: Identify the masses of each particle
First, let's list the masses of the particles given:
- Electron: \(9.11 \times 10^{-31}\) kg
- \(\beta\) Particle: \(9.11 \times 10^{-31}\) kg (identical to an electron or positron)
- Positron: \(9.11 \times 10^{-31}\) kg
- Proton: \(1.673 \times 10^{-27}\) kg
- Neutron: \(1.675 \times 10^{-27}\) kg
- \(\alpha\) Particle: \(6.644 \times 10^{-27}\) kg (an alpha particle is equal to two protons and two neutrons)
- Deuteron: \(3.344 \times 10^{-27}\) kg (a deuteron is made up of one proton and one neutron)
2Step 2: Arrange the particles in ascending order
Now, let's arrange the particles in order of increasing mass:
1. Electron (\(9.11 \times 10^{-31}\) kg)
2. \(\beta\) Particle (\(9.11 \times 10^{-31}\) kg)
3. Positron (\(9.11 \times 10^{-31}\) kg)
4. Proton (\(1.673 \times 10^{-27}\) kg)
5. Deuteron (\(3.344 \times 10^{-27}\) kg)
6. Neutron (\(1.675 \times 10^{-27}\) kg)
7. \(\alpha\) Particle (\(6.644 \times 10^{-27}\) kg)
So the final order is electron, beta particle, positron, proton, deuteron, neutron, and alpha particle.
Key Concepts
Elementary ParticlesAtomic MassesSubatomic ParticlesAlpha ParticleBeta Particle
Elementary Particles
In the world of physics, elementary particles are considered the most basic building blocks of the universe. They have no substructure, meaning, they are not made up of smaller elements.
- Examples of elementary particles include electrons and positrons.
- These particles interact with each other via fundamental forces such as electromagnetic force.
Atomic Masses
Atomic mass is the mass of an atom. It is a vital concept in understanding the composition and behavior of matter.
- It is usually measured in atomic mass units (amu).
- Atomic mass takes into account the protons, neutrons, and sometimes electrons.
Subatomic Particles
Subatomic particles are smaller than atoms and include protons, neutrons, and electrons. They are the building blocks that constitute an atom.
- Protons and neutrons form the nucleus, while electrons orbit around it.
- These particles differ in mass and charge.
Alpha Particle
An alpha particle is a type of subatomic particle with a relatively high mass and positive charge.
- It consists of two protons and two neutrons.
- This configuration gives it a mass of about four times that of a proton.
Beta Particle
Beta particles are another type of subatomic particle, similar to electrons or positrons, emitted during radioactive decay.
- They have the same mass as an electron, making them much lighter than alpha particles.
- Depending on their charge, they can be negatively charged (electrons) or positively charged (positrons).
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