Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering Hhelium-4 nuclei (4 He) from Gold-197 nuclei (197 Au). The energy of the incoming helium nucleus was 8.00×10−13 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). (a) If a helium nucleus scatters to an angle of 120o during an elastic collision with a gold nucleus, calculate the helium nucleus’s final speed and the final velocity (magnitude and direction) of the gold nucleus. (b) What is the final kinetic energy of the helium nucleus?

Q: The simplest nucleus, that of hydrogen, is a single proton. Next comes the nucleus of H, the isotope…

A: To calculate the binding energy of the deuteron, we can use the formula for the binding energy (BE)…

Q: 8. DETAILS OSCOLPHYS2016 8.6.P.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ernest Rutherford…

A: As the helium nucleus is in motion , the energy of the nuclei will be kinetic energy , which is…

Q: TRUE OR FALSE (n)  Hydrogen­1 has one neutron in its nucleus, hydrogen­2 has two neutrons in its…

A: n The statement given is false.  In the isotope hydrogen-1, the number 1 represents the mass number.…

Q: 3 One method of producing neutrons for experimental use is to bombard Li with protons. The neutrons…

A: The left side of the equation consists of a proton (¹H) and Lithium (7Li). The atomic mass of a…

Q: Assume that a room at sea level is filled with a gas of nitrogen molecules N2 in thermal equilibrium…

A: (a)    As per the ideal gas law,          PV=nRTP=1.01×105 N/m2 (1 atm)T=273.15-10T=263.15 K…

Q: An alpha particle undergoes inelastic scattering by a C-12 nucleus at an angle of 60◦. What fraction…

A: Solution:-              α‐particle mass =4 mIntial velocity og neclues is  ucollision velocity of…

Q: Q2: An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the…

A:

Q: A 212^Bi (bismuth) nucleus undergoes alpha decay, resulting in a 208^Tl (thallium) nucleus and a…

A:

Q: In the formula E=mc2, the letter c stands for: the speed of an electron around the nucleus the…

A:

Q: At the end of its life, a star with a mass 7.8 times the Sun's mass is expected to collapse,…

A: Given,  Mass of star m = 7.8 x 1.99 x 1030 Kg Mass of neutron mn = 1.67 x 10-27 Kg

Q: A stationary nucleus of Po-204 (mass = 204 amu) undergoes alpha decay. Show that, as a result of…

A: Alpha particle emits because of unstability of heavy nucleus. Force acts inside nucleus. This force…

Q: Outside the nucleus, the neutron itself is radioactive and decays into a proton, an electron, and an…

A: Let N0 be the initial No. of neutrons of half life T=10.4 min we know, N=N0e-λt......(1) where,  λ…

Q: A Boron -12 atom ( 12.01435u) beta -decays into a carbon atom ( 12.00000 u). What is the maximum…

A:

Q: What is the magnitude of the repulsive force between two protons in a nucleus? The distance between…

A:

Q: A Boron -12 atom ( 12.01435u) beta -decays into a carbon atom ( 12.00000 u). What is the maximum…

A:

Q: If the energy in fusion bombs were used to supply the energy needs of the world, how many of the…

A:

Q: What is the energy of the antineutrino, if a phosphorus-32 atom ( 31.97390u) beta-decays into a…

A:

Q: NR 3 oplosi 30 The radioactive nucleus Uranium-234 undergoes a decay series of 4 consecutive alpha…

A:

Q: How many neutrons are emitted when a uranium-238 nucleus (Z = 92) is bombarded with a deuteron…

A:

Q: In the reaction n+ 12C → a ±? , what is the product nucleus?

A:

Q: How many neutrons are emitted when Uranium-238 (Z=92) is bombarded with a deuteron (2H) to produce…

A: Deuteron has 1 atomic number and 2 atomic mass.  when Uranium-238 (Z=92) is bombarded with a…

Q: At the end of its life, a star with a mass of two times the Sun’s mass is expected to collapse,…

A: The expression for the radius is,

Q: The mass of an idotope of an sulfur atom is A= 1+2Z. Please calculate the number of neutrons found…

A: Given that:- A=Mass number of sulfur=1+2Z where, Z=Atomic number of sulfur=16

Q: Two nuclei having atomic numbers Z1 and Z2 approach each other with a total energy E. (a) When they…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: Use the below values for this problem. Please note that the mass for H is for the entire atom…

A: By using Q value formula and binding energy formula we can calculate both problems. Q value of…

Q: Q4. a) Alpha decay is a two body final state process, in which a nucleus 4 AXz →(A−4) Y(z−2) +¹ He₂…

A: The objective of the question is to understand the process of alpha decay and its relation to…

Q: Only two stable nuclei have Z>N. (a) What are these nuclei? (b) Why don't more nuclei have Z> N?

A: The nucleus of an atom is made of protons and neutrons. They are held together by the strong nuclear…

Q: Suppose an archaeologist finds an ancient seashell necklace, and the 14C content of the necklace is…

A: Calculate the decay constant of 14C. k=ln2t1/2=ln25730 yr=1.209×10-4 yr-1 Here, k is the decay…

Q: Q1: A fission reaction is shown in figure, A uranium nucleus is excited by the neutron, and it split…

A: Energy released is, E=∆mc2

Q: The following reaction shows the beta decay of a H nucleus. H- He 3 3 — Не + е Determine the total…

A:

Q: The ratio of magnitude of recoil of residual nucleus of U2* to the magnitude of velocity of a…

A: Mass number of Uranium is  238 Mass of U-238 is 238.05 u Suppose, mass of the particle (x) emitted…

Q: In radio-pharmacy Alpha, Beta-plus, Beta-minus and Gamma decay are all different forms of…

A: Solution Beta-minus decay.  In Beta minus decay neutron is converted into proton and electron with…

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: Given data :  Carbon 14C half life τ1/2 = 5730 years  By using radioactivity decay formula and half…

Q: The radii of He and Au nuclei are 1.6 fm and 8.0 fm, respectively. Find the kinetic energy of an…

A:

Q: The nuclear radius of a fictitious element is 3.145 fm. The number of protons and the number of…

A:

Q: Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in chemistry) demonstrated…

A:

Q: The final step of hydrogen "burning" in stars consists of combining two He nuclei to form a stable…

A:

Q: In a scattering experiment, an alpha particle A is projected with the velocity uo = -(600 m/s)i +…

A:

Q: 244 The nucleus Pu is radioactive and emits an a particle. Into which nucleus does it decay? 95 Am…

A:

Q: A beam of helium-3 atoms (m = 3.016 u) is incident on a target of nitrogen-14 atoms (m = 14.003 u)…

A: Mass of He-3 = 3.016 u Mass of N-14 = 14.003 u Initial velocity of He-3 = 6.346×106 msInitial…

Q: Consider the following a-decay of the Uranium nucleus 236 U 92 232 90 Th+a. (a) Show how the mass…

A: Given (a) 92U236→90Th232 +αi.e. 92U236→90Th232 +XαY The atomic number and atomic mass number should…

Q: 9 H the mass of the products in a fission reaction is 3.2 x 10^28 kg less than the reactants, how…

A:

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.