Physics College

A subatomic particle created in an experiment exists in a certain state for a time of before decaying into other particles. Apply both the Heisenberg uncertainty principle and the equivalence of energy and mass to determine the minimum uncertainty involved in measuring the mass of this short-lived particle.

Answers

Answer 1

Answer:

Δm Δt> h ’/ 2c²

Explanation:

Heisenberg uncertainty principle, stable uncertainty of energy and time, with the expressions

ΔE Δt> h ’/ 2

h’= h / 2π

to relate this to the masses let's use Einstein's relationship

E = m c²

let's replace

Δ (mc²) Δt> h '/ 2

the speed of light is a constant that we can condense exact, so

Δm Δt> h ’/ 2c²

Related Questions

A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.0 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)

Answers

Answer:

The angular momentum is [tex]L = 8440.32 \ kg \cdot m^2 \cdot s^{-1}[/tex]

Explanation:

From the question we are told that

The mass of the woman is [tex]m = 50 \ kg[/tex]

The angular speed of the rim is [tex]w = 0.80 \ rev/s = 0.8 * [\frac{2 \pi}{1} ] = 5.024 \ rad \cdot s^{-1}[/tex]

The mass of the disk is [tex]m_d = 110 \ kg[/tex]

The radius of the disk is [tex]r_d = 4.0 \ m[/tex]

The moment of inertia of the disk is mathematically represented as

[tex]I_D = \frac{1}{2} m_d r^2_d[/tex]

substituting values

[tex]I_D = \frac{1}{2} * 110 * 4^2[/tex]

[tex]I_D = 880 \ kg \cdot m^2[/tex]

The moment of inertia of the woman is

[tex]I_w = m * r_d^2[/tex]

substituting values

[tex]I_w = 50 * 4^2[/tex]

[tex]I_w =800\ kg[/tex]

The moment of inertia of the system (the woman + the large disk ) is

[tex]I_t = I_w + I_D[/tex]

substituting values

[tex]I_t = 880 +800[/tex]

[tex]I_t =1680 \ kg \cdot m^2[/tex]

The angular momentum of the system is

[tex]L = I_t w[/tex]

substituting values

[tex]L = 1680 * 5.024[/tex]

[tex]L = 8440.32 \ kg \cdot m^2 \cdot s^{-1}[/tex]

Other Questions

If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)? A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.0 m. Calculate the magnitude of the total angular momentum of the womandisk system. (Assume that you can treat the woman as a point.) explain how the voice of the people can be heard within a government that is divided into 3 branches Every organization needs some degree of flexibility and standardization. True False Being overly committed to following rules can harm an organization and keep it from growing. True False Every organization needs either a degree of ________ to adapt to new situations or some degree of ________ to make routine tasks and decisions as efficient and effective as possible. standardization; flexibility culture; vision flexibility; standardization structure; design How many grams of LiNO2 are required to make 250 mL of 0.75 Molarity solution? 5. If there is a large number of prey rodents, the number of owls will increase due to a healthyfood source. More owls feeding on the rodents will cause their population to decrease, which inturn will eventually cause the owls number to decrease. Would you expect to find this pattern in other ecosystems between predators and prey? Explain. 2Which of these statements would be MOST important to include in an objective summary of the article?NA Experts agree that binge-watching has negative effects on viewers, citing increased levels of anxietyand physical health problems8Binge-watching can create a sense of community and shared experience around a television showstrengthening people's relationshipsExperts agree that binge-watching has real effects on viewers but they disagree about whether thoseeffects are positive or negativeSinge watching can create physical health problems for viewers since the long hours of sitting itrequires arenedo nesseeheart disease5 Pts 3. Shenker has 45 CDs.He gives 10 CDs to his brother.a) Write an equation you can solve to find how many CDsShenker has left.b) Solve the equation. 7.Cells of a particular organism are dying at an incredible rate. Under a microscope, doctors are able to determine that the cellsare swelling up with waste and bursting. What must be true of the cells?O A. They are not synthesizing needed proteins.B. The cell membrane has become completely permeable.O C. They are no longer able to produce ATP molecules.D. They are unable to perform exocytosis. Find the approximate circumference of a circle with a diameter of 80 yards.251 yards502 yards126 yards25 yards a) write in simplified form the value of the area of the trapesoid. usages of simple present tense and present continuous tense with each example A cell phone company is offering 2 different monthly plans. Each plan charges a monthly fee plus an additional cost per minute. Plan A: $ 40 fee plus $0.45 per minute Plan B: $70 fee plus $0.35 per minute a) Write an equation to represent the cost of Plan A b) Write an equation to represent the cost of Plan B c) Which plan would be least expensive for a total of 100 minutes?*Please Show Work* define the general difference between an autotroph and a heterotroph Based on this passage of The onssey, one can conclude that the ancient Gregs getyves Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 21cups of milk.3Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast? What is the value of x in the equation - 3X+9x+9= 3-37? Which is an example of matter cycling through the bodies of living things?A. Whales swimming in the oceanB. Whales eating planktonC. People visiting the aquariumD. Plankton moving with the tideAnswer: B whales eating plankton Please hurry On each bounce, a ball dropped from 100 feet rises to the heightfrom which it has fallen. How high does the ball rise, in feet, on the 10th bounce? When preparing a business message, you should make your writing audience oriented. Audience oriented means a. attempting to get your audience to believe and accept your message. b. writing to solve a problem or convey information. c. presenting ideas clearly but concisely. d. concentrating on looking at the message from the receiver's perspective.