A particle that has a lifetime of 5 ms is created in a lab. Once created the particle should live for at least 1 s, so that it can be studied. Estimate the speed required to achieve a lifetime of 1 s.

A particle that has a lifetime of 5 ms is created in a lab. Once created the particle should live for at least 1 s, so that it can be studied. Estimate the speed required to achieve a lifetime of 1 s.

Related questions

Q: If E=8.0×104 V/m d=0.5 m, And a proton of e* and mp Find AV, AU and v₁ (v₁=0)

Q: An electron and a positron, with a mass of 9.1 x 10-31 kilograms, annihilate each other, producing…

Q: Radio signal from a nearby galaxy is recorded at 0.85 m. The galaxy is moving away with a velocity…

A: Since light does not require any medium to travel the Doppler shift in light only depends on the…

Q: a) What is the measure of the area of the sofa according to Bob? b) What is the length of Bob’s Bike…

A: Given: rectangular shaped sofa dimension=2m × 1m Movie duration= 2 hours Bob pausing by Alice's…

Q: What is the effective number of relativistic degrees of freedom g, for a thermal plasma at a…

Q: One of the experiments placed on theMoon’s surface by Apollo 11 astronauts was a reflector that is…

A: Given data: The time taken by the beam to move from Earth to Moon and Moon to Earth after…

Q: Can you answer problem 2?

A: The value of γ be defined as,

Q: Near the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a…

A: Introduction:Doppler's effect: It comes into effect when a wave is moving with respect to…

Q: Whta is the Simplest Form Of A Particle?

A: The simplest form of matter is an atom. Atom is the smallest functional unit of matter that forms…

Q: An accelerator collides protons with an energy of 920 GeV with electrons with an energy of 27.5 GeV.…

Q: At 750 eV of kinetic energy, what is the electron's maximum speed?

Q: A student performs the experiment and measures the distance between photogates: d = 50 ± 0.1 cm, the…

A: Solution: As per the given data, Total distance(D)=cart length(s)+distance between photogates(d)…

Q: An ultra-relativistic electron radiates in a magnetic field of strength 2 x 10-6 T. The electron has…

A: Step 1: here we have defined the equation Step 2: here we have calculate the initial energy Step 3:…

Q: 130 MeV work is done on a proton whose speed initially was 0.50c. What was its speed afterward?

Q: It is known that the alpha particle He, has two protons and neutrons. If the masses of the protons…

A: Known values:Mass pf proton: mp=1.0073 amuMass pf neutron: mn=1.0087 amuMass of alpha particle,…

Q: How large an error is made in using the nonrelativistic expression K = mv²/2 for the kinetic energy…

Q: An interaction between two elementary particles causes an electron and a positron (a positively…

A: Answer: To determine the minimum speed, we have to do the following assumptions based on the above…

Q: a) How far does a beam of muons with kinetic energy of i) 1 MeV, ii) 100 GeV pass through in empty…

A: Given:- The mean life of the m is t = 2.2×10-6 s

Q: An isotope of helium with mass 7 u breaks up from rest into a nucleus of ordinary helium (assume:…

Q: A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is…

A: Using the uncertainty equation,

Question

A particle that has a lifetime of 5 ms is created in a lab. Once created the particle should
live for at least 1 s, so that it can be studied. Estimate the speed required to achieve a
lifetime of 1 s.

Expert Solution

Concept and Principle:

Time is not absolute. Time will slow down as we get closer to the speed of light. As per the special theory of relativity time measured by a clock that is moving will be slower than the time measured by a clock that is at rest.

The actual time or proper time is defined as the time that is measured in the clock's rest frame.

Time dilation is calculated using the following formula,

$Δ t = \frac{Δ t_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$

Here ∆t is the dilated time, ∆t₀ is the proper time, v is the velocity, and c is the speed of light.

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Problem 23: An airline passenger drops a coin while the plane is moving horizontally at 252.5 m/s. Randomized Variables v = 252.5 m/s h = 1041 m How far does the coin travel horizontally in meters with respect to the Earth if it falls 1041 m? 4x = 1 sin() cos() cotan() asin() atan() acotan() cosh() tanh() Degrees tan() acos() sinh() cotanh() Radians П ( 7 8 EMA / + 4 1 0 5 2 VBACKSPACE 963 DEL HOME END CLEAR
An Ω- particle has rest energy 1672 MeV and mean lifetime 8.2x10-11 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the Ω- particle?
Lorentz force law Show that a velocity dependent Potential can be obtained as (u=qϕ-qV.A) F=qE+qV×B T=(1/2)m(x^2 +y^2 +z^2 )
The lifetime of a muon is 2.2 μs traversing the atmosphere at 0.98c (average) (a) What is the lifetime (Dt) of this unstable relativistic elementary particle in the rest reference frame of earth? (b) What is the minimum energy uncertainty range (DE) of this unstable particle?
Near the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a black hole. We receive electromagnetic radiation of wavelength 1888 nm and know that it was 1875 nm when emitted by the hydrogen gas. Randomized Variablesλ = 1888 nm What is the ratio of the speed of the gas to the speed of light?
(a) In communicating with an astronaut on the moon, 3.8E8 m from earth, what is the minimum time delay in getting a response to a question? (b) What would the minimum time delay be for communication with an astronaut at a distance of 4 light-years from earth?
a) Calculate the kinetic energy of an electron whose momentum is 2 MeV/c. b)Calculate the velocity of electron whose kinetic energy is 2 MeV.
nearly 2v is WRONG. What is the correct answer? Explain/Prove
Particle Accelerator: Particle accelerators like CERN are designed to turn energy into new particles: E = mc². What minimum speed does a single electron need in order to create 9 additional electrons in a collision?
A beam of π+meson (pions) at Fermilab are traveling at a speed of 0.92cwithrespect to the laboratory. The proper mean lifetime for these pions is 2.6×10−8s.(a) Is this proper lifetime measured in the laboratory frame or the frame of the pions?Why? (b) What is the mean lifetime as measured in the other frame of reference?
How fast would a proton have to be traveling in order to have the same momentum as a photon with a frequency of 8.18 x 10^18 Hz?
A cyclotron is used to accelerate protons to 70 MeV. If these protons are elastically scattered from deuterons (2H) and tritons (3H), what are the maximum energies of the 2H and 3H?