Photo AI

7. The following diagram gives information on the Standard Model of fundamental particles - Scottish Highers Physics - Question 7 - 2017

Question icon

Question 7

7.-The-following-diagram-gives-information-on-the-Standard-Model-of-fundamental-particles-Scottish Highers Physics-Question 7-2017.png

7. The following diagram gives information on the Standard Model of fundamental particles. (a) Explain why the proton and the neutron are not fundamental particles.... show full transcript

Worked Solution & Example Answer:7. The following diagram gives information on the Standard Model of fundamental particles - Scottish Highers Physics - Question 7 - 2017

Step 1

Explain why the proton and the neutron are not fundamental particles.

96%

114 rated

Answer

The proton and neutron are not fundamental particles because they are composed of other particles known as quarks. In the context of the Standard Model, fundamental particles include quarks and leptons, which cannot be broken down into smaller components. As composite particles, protons and neutrons are made up of three quarks each, specifically two up quarks and one down quark (for protons) and one up quark and two down quarks (for neutrons). Thus, they qualify as hadrons, which are defined as particles made of quarks.

Step 2

All baryons are hadrons, but not all hadrons are baryons. Explain why this statement is correct.

99%

104 rated

Answer

This statement is correct because baryons are a specific subclass of hadrons that are made up of three quarks. While all baryons, such as protons and neutrons, are hadrons (which encompass any particles formed from quarks), there are other types of hadrons known as mesons, which are made from quark-antiquark pairs. Thus, while every baryon qualifies as a hadron, not every hadron can be classified as a baryon.

Step 3

Determine the charge on a strange quark.

96%

101 rated

Answer

The charge of the strange quark can be calculated based on the relationship that the total charge of the sigma particle is obtained from its quark content. Given that the charge of the up quark is (\frac{2}{3} e) and the charges of the other quarks must yield the observed charge of the sigma particles, the charge on a strange quark is found to be (-\frac{1}{3} e).

Step 4

State the name of the force that holds the quarks together in the sigma (Σ) particle.

98%

120 rated

Answer

The force that holds the quarks together in the sigma (Σ) particle is known as the strong nuclear force. This fundamental force is responsible for binding quarks together to form protons, neutrons, and other hadrons.

Step 5

State the name of the boson associated with this force.

97%

117 rated

Answer

The boson associated with the strong nuclear force is known as the gluon. Gluons act as the exchange particles for the strong force, facilitating the interaction between quarks within hadrons.

Step 6

Calculate the mean lifetime of the Σ⁻ particle as measured by this observer.

97%

121 rated

Answer

To find the mean lifetime of the Σ⁻ particle as measured by the stationary observer, we can use time dilation due to relativistic effects. The formula for time dilation is:

t=t1v2c2t' = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}}

Where:

  • (t) is the proper lifetime in the particle's rest frame (1.5 × 10⁻¹⁸ s),
  • (v) is the speed of the particle (0.9c),
  • (c) is the speed of light.

Plugging the values, we get:

t=1.5×10181(0.9)2=1.5×101810.81=1.5×10180.193.4×1018 st' = \frac{1.5 \times 10^{-18}}{\sqrt{1 - (0.9)^2}} = \frac{1.5 \times 10^{-18}}{\sqrt{1 - 0.81}} = \frac{1.5 \times 10^{-18}}{\sqrt{0.19}} \approx 3.4 \times 10^{-18} \text{ s}

Thus, the mean lifetime of the Σ⁻ particle as measured by the observer is approximately 3.4 × 10⁻¹⁸ seconds.

Join the Scottish Highers students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;