A beam of α particles of kinetic energy E = 10 MeV and intensity I = 1 μ A hits a lead target [A = 207, Z = 82, ρ = 1.14 x 104 kg m-3] of thickness t = 0.2 mm. We locate a counter of area S = 1 cm2 at a distance of l = 0.5 m beyond the target at the angle θ = 40°. Neglecting, when necessary, the variation of the angle on the detector find: (a) the number of incident particles per second Ri, (b) the solid angle ΔΩ under which the target sees the detector, (c) the differential cross-section at the detector, and (d) how many hits the detector counts per second.

A beam of α particles of kinetic energy E = 10 MeV and intensity I = 1 μ A hits a lead target [A = 207, Z = 82, ρ = 1.14 x 104 kg m-3] of thickness t = 0.2 mm. We locate a counter of area S = 1 cm2 at a distance of l = 0.5 m beyond the target at the angle θ = 40°. Neglecting, when necessary, the variation of the angle on the detector find: (a) the number of incident particles per second Ri, (b) the solid angle ΔΩ under which the target sees the detector, (c) the differential cross-section at the detector, and (d) how many hits the detector counts per second.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter14: Nuclear Physics Applications

Section: Chapter Questions

Problem 15P

See similar textbooks

Related questions

Q: If an electron in hydrogen atom jumps from an orbit of level n =3 to n = 2, emitted radiation has…

Q: An argon laser emits a beam of light of wavelength 4.88 × 10-7 m, the power in the beam being 100mW.…

A: When an electromagnetic wave or light is incident on the metal surface, electrons contained in an…

Q: what is the wavelength of a hydrogen Balmer series proton for m=4 and n=2? Use the rydberg formula

Q: What is the velocity of an electron emitted by lithium (work function = 2.90 e.v.) if light with a…

Q: Q/ Prove that the frequency of the X-ray spectrum line (k_a) emitted by an element with atomic…

Q: The beam emerging from a 1.5 W argon laser (l =515 nm) has a diameter d of 3.0 mm. The beam is…

A: Consider the power output of the laser be P, and the energy of a photon be E. The rate of the…

Q: Which of the following represent the stimulated emission? E, E, E, hv = E,-E, E, O E, hv = E, - E,…

A: We know that, A simulated emission is a process in which a photo interacts with the excited electron…

Q: If the minimum wavelength of the X-ray photons produced by Bremsstrahlung interactions in an X-ray…

Q: Calculate (a) the thermal wavelength, (b) the translational partition function of an Ar atom in a…

Q: Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its…

A: Threshold frequency of potassium (fo) = 5.464×1014 Hz Threshold energy = h×fowhere h is the plancks…

Q: For A = 6.5î – 8ĵ + 6k and B = –-7î + 5.7ĵ – 6k then what is the z component of A x B?

A: Notice that to answer the question, we don't need to find the whole cross product, we need only the…

Q: A particle of charge q and mass m, moving with a constant speed v, perpendicular to a constant…

A: Given,

Q: Measured X-ray energies for Silver (Z=47) are: K_alpha= 21.990 keV, K_beta=25.145. The binding…

Q: In Rutherford's scattering of alpha-particles in a thin gold foil, one neglects the effect of atomic…

A: Alpha particles can attract electrons in Rutherford’s gold foil experiment. However, the effect of…

Q: Q.3:Consider photons contained in a three-dimensional cavity of unit volume. The density of states…

A: Density of states function is given by,D(E)dE=Vh3c3E2π2dE=CE2dE where C=Vh3c3π2

Q: The energy difference between the two levels arising from the spin-orbit coupling in a d-orbital is…

A: The solution is given below

Q: A laser emits at 424 nm in a single pulse that lasts 0.500 ms. The power of the pulse is 2.80 MW. If…

Q: What is Rydberg’s Constant (RE) if the slope of a graph is 2.7227(aJ) and the trendline y-intercept…

A: Given , slope of a graph is 2.7227(aJ) and the trendline y-intercept is -0.5916 We know that ,…

Q: If an electron in hydrogen atom jumps from an orbit of level n =3 to n=2, emitted radiation has…

Q: For a tungsten target, the electron binding energies for K- shell is 69.5 keV and that of the…

Q: Light of wavelength 576 nm is incident on a target metal that has a work function of 1.85 eV. What…

A: solution is given by

Q: How much the angular momentum of this electron becomes if it absorbed an electromagnetic wave with…

A: The angular momentum of the electron, L=nh2π

Q: A proton with total energy 5.52 keV, and initial de Broglie wavelength λi travels from a region with…

A: Energy (E)=hc/lamda Lamda=h/√2mev

Q: Consider the Balmer series discussed in the book (and Prof. Scherer's lecture notes), where the…

Q: A cavity kept at 4,000 K has a circular aperture 5.0 mm diameter. Calculate (a) the power radiated…

Q: Calculate the shortest wavelength of the spectral lines emitted in Balmer series. [Given Rydberg…

A: The wavelength of the Balmer series is given by 1λ=RH1n12-1n22 Where, RH is the Rydberg's constant.…

Q: a hydrogen atom was placed in an external uniform magnetic field of 240 T

A: We know that the energy difference between the two states is given as ∆E = 2μBB ----- eq1 B is the…

Q: The Ka x-ray line for any element arises because of atransition between the K shell (n = 1) and the…

Q: If the minimum wavelength of the Xx-ray photons produced by Bremsstrahlung interactions in an X-ray…

A: Wavelength of X - Ray = 0.02 nm Let peak voltage = V

Q: The ground state of the an ion corresponds to the og1s orbital which is given by the expression: 1 1…

A: Note that the ϕ1 and ϕ2 functions correspond to the first and the second nuclei, respectively. The…

Q: When the principal quantum number is n = 5, how many different values of (a) ℓ and (b) mℓ are…

Q: Considering the Bohr’s model, given that an electron is initially located at the ground state…

A: Given : Bhor model. Ground state n =1, n = 1 Difference in radius, rnx - r1 = 5.247 x 10-9

Q: Is the angular momentum of alpha-particles in Rutherford scattering conserved?

A: In the process of Rutherford scattering, the force acting on the alpha particle is electrostatic…

Q: Q/ For a state of a nucleus with a definite mass (M) and not infinity around which an electron of…

A: The state of nucleus with a definite mass (M) and not infinity around which an electron of mass (m)…

Q: Calculate the ratio A/B for transitions with the following characteristics: (i) 70.8 pm X-rays, (ii)…

A: A is the coefficient of spontaneous emission and B is the coefficient of stimulated emission. The…

Q: X rays with a wavelength of 71 pm are directed onto a gold foil and eject tightly bound electrons…

Q: What is the Doppler-broadened linewidth of the electronic transition at 821 nm in atomic hydrogen at…

A: The Doppler-broadened linewidth of the electronic transition is,…

Q: The x-ray spectrum is for 35.0 keV electrons striking a molybdenum (Z= 42) target. If you substitute…

Q: While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral line that…

Q: In the Millikan oil drop experiment tiny charged oil droplets generated by a spray are allowed to…

A: For equilibrium of drop F=mg Eq=mg q/m=g/E

Q: Explain the reason that metal atomic chains have quantized G, different from bulk metals by…

Q: Find the excitation energy from the ground level to the third excited level for an electron confined…

Q: What is the cutting potential of the ejected electrons when shining a monochromatic light with a…

Concept explainers

de Broglie Equation

The sketch of matter waves is drawn below:

Question

100%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A laser that emits pulses of UV lasting 4.00 nsns has a beam diameter of 2.10 mmmm. If each burst contains an energy of 3.95 JJ, what is the length in space of each pulse and the average energy per unit volume (the energy density) in one of these pulses?
The x-ray spectrum is for 35.0 keV electrons striking a molybdenum (Z= 42) target. If you substitute a silver (Z = 47) target for the molybdenum target, will (a) lmin, (b) the wavelength for the Ka line, and (c) the wavelength for the Kb line increase, decrease, or remain unchanged?
Bullets of mass 3.99 grams (g) are fired in parallel paths with speeds of 195 m/s through a hole 3.06 mm in diameter. How far from the hole must you be to detect a 1.69 cm-diameter spread in the beam of bullets?
The binding energies of K-shell and L-shell electrons in copper are 8.979 and 0.951 keV, respectively. If a Ka x ray from copper is incident on a sodium chloride crystal and gives a first-order Bragg reflection at an angle of 74.1° measured relative to parallel planes of sodium atoms, what is the spacing between these parallel planes?
In a scattering experiment, you concentrate on Alpha particles with impact parameters b=0, 1×10^-3, and 1×10^0 mm. For which b will the behavior of the Alpha particle be very different in Thomson's and Rutherford's models and for which will it be nearly similar?
What would the wavelength in m of the emitted radiation be if a hydrogen atom was placed in an external uniform magnetic field of 240 T and transitioned from a spin-up to a spin-down state?
normalise the ground state of the quantum harmonic oscillator that you found in by calculating the value of c, for an alpha particle with a mass of 6.645 * 10 ^-27 kg and frequency of3.17 * 10^-8 hz u(x) = Ce ^-(mwx^2/2h)
What minimum accelerating voltage would be required to produce an x-ray with a wavelength of 70.0 pm?
Is the angular momentum of alpha-particles in Rutherford scattering conserved?
What minimum accelerating voltage is required to produce an x - ray with a wavelength of 70.0 pm?
The mean free path length of a 0.7-MeV photon in lead is closest to which of the following? (a)0.1039 cm (b)0.6697 cm (c)0.7038 cm (d)1.1394 cm (e)0.8776 cm
If an average of 10000 photons are detected per mm2 the probability of detecting between 9800 and 10200 counts in any exposed mm2 is approximately: a) 59 b) 75 c) 89 d) 95 e) 99