Why is the following situation impossible? An air rifle is used to shoot 1.00-g particles at a speed of υx = 100 m/s. The rifle’s barrel has a diameter of 2.00 mm. The rifle is mounted on a perfectly rigid support so that it is fired in exactly the same way each time. Because of the uncertainty principle, however, after many firings, the diameter of the spray of pellets on a paper target is 1.00 cm.

Q: Electromagnetic radiation from a hydrogen gas lamp is shone onto a metal surface and the maximum…

A: (a) Energy of state in H-atom En =-13.6n2ev energy of transition from n=2 →n=1 is given by  ∆E=E2-E1…

Q: For a system of particles of mass m in the state p the formula expression for the particle flux…

A: Given that :F=h4πimΨ* ∂Ψ∂x-Ψ∂Ψ*∂xNow, as we know that the wavefunction of a free particle…

Q: A paramecium is covered with motile hairs called cilia that propel it at a speed of 1 mm/s. If the…

A: ρ=Density of water=Density of paramecium=1000 kg/m3V=Volume=2×10−13 m3v=Velocity=1 mm/sL=Length of…

Q: A sodium gas is contained in a cubical container (T=250 K) with one side measuring 25.0 m. a.) What…

A: The minimum uncertainty in momentum is given as ∆x∆p⩾h2here h is the reduced planck's constant value…

Q: Compute the wavelength for the following  a) An electron with 1eV kinetic energy  b) A 10g bullet…

A: Given  Energy of the electron is E=1eV=1.6×10-19 J Mass of the bullet is m=10 g=10×10-3 kg Speed of…

Q: For a "particle in a box" of length, L, the wavelength for the nth level is given by An 2L %3D 2п…

A:

Q: (I) A proton is traveling with a speed of (8.660 ± 0.012) × 10° m/s. With what maximum precision can…

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Q: A 4.00-g particle confined to a box of length L has a speed of 1.00 mm/s. (a) What is the classical…

A: (a) Write the formula for the kinetic energy in classical mechanics for a particle in a box.

Q: (a) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 μm, what is…

A: Given, Mass, m=5.86×10-26 kg plank's constant, h=6.63×10-34 Js Position of a chlorine, ∆x=1×10-6 m…

Q: Consider the wave function phi(x) = A sin(kx) where k = 2pi/lambda and A is a real constant. (a)…

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Q: Write the expression for the de Broglie wavelength associated with a charged particle having charge…

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Q: 4. Consider a particle of mass m described by the following wave function: x > 0 V (x,0) = Ae- ª r >…

A: Given ψ(x,0) = 0                     x≥0Ae-x              x>0

Q: What is the probability that the electron tunnels through the barrier? (Use 9.11  10-31 kg for the…

A: Given data: The kinetic energy is: E = 3.10 eV The width of barrier is: L = 0.230 nm The mass of an…

Q: A wave function of a particle with mass m is given by, Acosa ≤ ≤+ otherwise b(z) = {1 Find the…

A: See step 2 .

Q: What is the de Broglie wavelength of (a) an electron accelerated from rest by a potential difference…

A: a) The kinetic energy of the electron which is accelerated is given by K=eV=pe22me…

Q: Calculate the transmission probability for quantum-mechanical tunneling in each of the following…

A: The expression for the transmission probability,   The expression for the constant value,

Q: Problem 4: a. For Compton scattering, what photon scattering angle provides the maximum possible…

A: Given, A Compton scattering gives max K.E to electron To find photon scattering angle, K.E value…

Q: Q 3: Two people measure a wave of a particle passing from a point in front of them and their…

A: The two wave equations are given as :  (1) Superimposing these two waves to get the final wave :

Q: For a free relativistic quantum particle moving with speed u, the total energy of the particle is E…

A:

Q: The lifetime of a muon is 2.2 μs traversing the atmosphere at 0.98c (average) (a) What is the…

A: Given information: Here, Δt0­ is the muon’s lifetime (i.e, proper time) and v is the muon’s speed…

Q: An ultrashort pulse has a duration of 9.00 fs and produces light at a wavelength of 475 nm. What is…

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Q: Calculate the minimum uncertainty in momentum (expressed in MeV/?) for a proton confined to a…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Suppose that an electron trapped in a one-dimensional infinite well of width 250 pm is excited from…

A: The width of a one-dimensional infinite well,

Q: An electron with a kinetic energy of 44.34 eV is incident on a square barrier with Up = 57.43 eV and…

A: Given that electron energy E 44.43 ev potential barrior V 57.43 ev  width of barrior a 2.2 nm…

Q: (a) If the position of an electron in a membrane is measured to an accuracy of 1.00 μm , what is the…

A: a. The Heisenberg uncertainty principle can be expressed as

Q: What is the probability of finding a particle in the last 10% of a one-dimensional box for n = 1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the de Broglie wavelength of(a) a bullet of mass 0.040 kg travelling at the speed of 1.0…

A: Given:  (a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s(b) a ball of mass 0.060 kg…

Q: A large cavity that has a very small hole and is maintained at a temperature T is a good…

A:

Q: a. Conceptually, discuss the particle-wave duality of light. Discuss the implications of this in…

A: Since you have asked multiple questions, I am answering first question. If you need the answer of…

Q: Consider the wave function for the free particle, as shown. At what value of x is the particle most…

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Q: A proton and a deuteron (which has the same charge as the proton but 2 times the mass) are incident…

A: Given that kinetic energy (K)  of both the particle ( proton & deuteron ) are same.…

Q: Why is the following situation impossible? A proton is in an infinitely deep potential well of…

A: The expression for the energy of the proton is given by, E=hcλE=1240eVnm6.06mm1mm106nm=2.05×10-4eV

Q: c) If the position of an electron in an atom is measured to an accuracy of 0.0100 nm, i. Calculate…

A: