Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei197-27(*He) from gold-197 nuclei (19 Au). The energy of the incoming helium nucleus was 7.58 x 10-13 ), and the masses of the helium and gold nuclei were 6.68 x 10kg and3.29 х 10-25kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.)(a) If a helium nucleus scatters to an angle of 150° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity(magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus.4Нe speedm/s197Au velocitym/s197Au direction° counterclockwise from the +x-axis(b) What is the final kinetic energy (in J) of the helium nucleus?

Collision Collision is a phenomenon where two or more bodies interact among themselves by exchanging…

Answered: (a) If a helium nucleus scatters to an…

Similar questions

3.) A beam of electrons with energy 250 MeV is elastically scattered through an angle of 10° by a heavy nucleus that is at rest. It is found that the differential cross-section is 65% of that expected for scattering from a point-nucleus. Estimate the root mean square radius of the nucleus. Neglect the recoil of the nucleus and use the rest mass of the electron as 0.511 MeV/c².
e =1.6x1019 C E0 =8.85x10-12 CN'.m2 m² c = 3.00 x10 m/s h 6.626x1034 J.s RH=1.0973732 x10 m =9 x 10° N.m2/C 4TEO m,=1.67x1027 kg m-9.1x1031 kg 1 Ci= 3.7x100 decays/s NA6.02 x1023 atoms/ mol #3 Question An electron was placed 5 cm from a proton (case í), then a uniform electric field was applied on both charges (case ii) as shown in the side figure. 5 cm a) What is the coulomb force between the charges before applying the electric field? b) Will the separation between the electron and proton increase or decrease after applying the electric field? Explain why? c) Calculate the ratio a./a, after applying the electric field, where a is the acceleration.
Taking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy K(alpha) of the alpha particle in the following decay of a 238U nucleus at rest. 238U⟶234Th+alpha K(alpha) = ? MeV
In the fusion reaction H+H He + n the masses of deuteron, helium and neutron express ed in amu are 2.015, 3.017 and 1.009 respectively. If 1 kg of deuterium undergoes complete fusion, find the amount of total energy released. 1 amu = 931.5 MeV/c.
B1a) A nuclear power station delivers 1 GW of electricity for a year from uranium fission. Given that a single fission event delivers about 200 MeV of heat, estimate the number of atoms that underwent fission, their mass, and the loss of mass of the fuel elements. b) Uranium 238 has a half-life of about 4.5 billion years. All the 238U now on Earth was created in stars and has been here since the formation of Earth about 4.5 billion years ago. Consider a kilogram of pure 238 U present at the formation of the Earth. i) Calculate the activity of the kilogram at that time. Sketch a graph of the activity of the uranium since then to the present day. Label the axes with appropriate numbers and units. Mark on your graph the half-life and the characteristic decay time. ii) 238 U decays through a chain of thirteen very short-lived radionuclides (longest half- live only 1600 years) before reaching a stable isotope of lead. If what remains of this uranium has for the last few million years been…
Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.12 ✕ 10−13 J, and the masses of the helium and gold nuclei were 6.68 ✕ 10−27 kg and 3.29 ✕ 10−25 kg,respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a)If a helium nucleus scatters to an angle of 119° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. 4He speed ______m/s 197Au velocity____ m/s 197 Au direction 330.36 ° counterclockwise from the +x-axis (b)What is the final kinetic energy (in J) of the helium nucleus? ___________ J
answer all parts it is one single question.
In a scattering experiment, an alpha particle A is projected with the velocity up = -(600 m/s)i + (750 m/s)j - (800 m/s)k into a stream of oxygen nuclei moving with a common velocity vo = (630 m/s)j. After colliding successively with nuclei B and C, particle A is observed to move along the path defined by the Points A₁(280, 240, 120) and A2(360, 320, 160), while nuclei B and Care observed to move along paths defined, respectively, by B₁(147, 220, 130), B2(114, 290, 120), and by C₁(240, 232, 90) and C₂(240, 280, 75). All paths are along straight lines and all coordinates are expressed in millimeters. Knowing that the mass of an oxygen nucleus is four times that of an alpha particle, determine the speed of each of the three particles after the collisions. The speed of particle A is The speed of particle B is The speed of particle Cis m/s. m/s. m/s.
In a controlled fusion reactor Deuterium-Tritium The temperature of the plasma is T = 10 keV, where k is the k Boltzmann constant. The ions' number density is 2.6×10¹8 m-3. -22 3 Moreover (ov) = 10-²²m³s-¹, where o is the reaction cross-section, v is the relative speed of the reacting particles, and represents averaging according to the Maxwell- Boltzmann distribution. fusion is occurring. For what value of the confinement time does the reactor achieve the break even point? Enter your answer in seconds to 1 decimal point.
3. A beam of helium-3 atoms (m = 3.016 u) is incident on a target of nitrogen-14 atoms (m = 14.003 u) at rest. Dur- ing the collision, a proton from the helium-3 nucleus passes to the nitrogen nucleus, so that following the col- lision there are two atoms: an atom of "heavy hydro- gen" (deuterium, m = 2.014 u) and an atom of oxygen-15 15.003 u). The incident helium atoms are moving at (m a velocity of 6.346 × 10° m/s. After the collision, the deu- terium atoms are observed to be moving forward (in the same direction as the initial helium atoms) with a velocity of 1.531 x 10' m/s. (a) What is the final velocity of the oxygen-15 atoms? (b) Compare the total kinetic energies before and after the collision.
A nuclei has a mass of 6.51×10-27 kg. What is its mass in Mev/c²? 3.65x10³ Mev/c² 3.92 Mev/² 7.85x10³ Mev/c² Question 3 Is the following decay possible? 232Th (Z=90) 236µ (Z = 92) + a 000 It's impossible to tell No Yes
Consider the following a-decay of the Uranium nucleus 236 U → 332Th + a. 90 (a) Show how the mass number (Aa) and atomic number (Za) of the alpha particle are obtained from this equation. (b) Calculate the Q-value (Qa) of the reaction. (c) Calculate the speed va = √2MQ of the alpha particle after it has been ejected from the parent nucleus, in terms of the speed of light c. M = -, mp and ma are the atomic masses (ma+mp) x ma mp of the daugher nucleus and the alpha particle, respectively. (d) Calculate the classical turning radius Re= 2Zpe²/Qa, where Zp is the atomic number of the daughter nucleus, and e² = 1.44 MeV. fm. (e) Calculate the decay probability Pa that the alpha particle will tunnel through the barrier. HINT: In calculating the probability, use the fact that ħc=197.327 MeV fm. The formula to use is given on page 5.

SEE MORE QUESTIONS