In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 x 10 27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 2.98 x 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary. fm

Q: An electron is in uniform circular orbit around a nucleus at a distance of 8.00 x 1011 meters at a…

A: Radius of orbit, R= 8.00 x 10-¹¹ m Speed (v)= 4.35 x 106 m/s Mass of electron (m)= 9.1× 10-³¹ kg Let…

Q: The respective charges of the electron and the proton are of opposite sign but of equal magnitude qe…

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Q: Three charges of −7 nC, −4 nC and 0.5 nC are situated at P(3, π/4, π/4), Q(0, 5, π, π/4) and S(−1,…

A: The force on the 4nC will be in the positive X direction and= k * q1 * q2 / r^2= (9.0 x 10^9 * 4…

Q: What is the escape speed for an electron initially at rest on the surface of a sphere with a radius…

A: To answer: The escape velocity for an electron initially

Q: A charged particle moves with a uniform velocity 4.3 ŷ (m/s) in a region where E = 192 (V/m) and B =…

A: Given: Charged particle moving velocity, v→=4.3y^ ms Electric field, E→=19z^ Vm Magnetic field…

Q: The protons in a nucleus are approximately 2 x 10-15 m apart. Consider the case where the protons…

A: Given data:  The two protons  Distance (r) = d = 1.98×10-15 m Required: The magnitude of the…

Q: In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius rB around a…

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Q: Two protons (p) and two electrons (e) are arranged on a circle of radius r = 5 [cm], with angles 0₁…

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Q: Consider a strip of charged copper that runs vertically upward from the floor to the ceiling. There…

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Q: Calculate the acceleration in meters per second squared of the electron if the field strength is…

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Q: d this velocity. (Ente

A: m1=1.95g=0.00195Kgq1=15.0μC=15×10−6Cv1i=16m/sm2=5.25g=0.00525Kgq2=8.50μC=8.50×10−6C

Q: a) Add the missing particles (or charge of particle in the case of the required to satisfy our laws…

A: The principles of charge conservation, lepton number conservation, baryon number conservation, and…

Q: In a vacuum, a proton (charge = +e, mass = 1.67 x 10-27 kg) is moving parallel to a uniform electric…

A: Mass of proton = 1.67×10-27kg Intial velocity of proton = 9.9×104 m/S Value of electric field =…

Q: Two Plutonium atoms (atomic mass = 244) both gain 2 electrons each. Draw a FBD and calculate the net…

A: The free body diagram of the forces : The electric force is repulsive and the gravitational force is…

Q: A 59.7 gram piece of metal is placed in 60.0mL of water and heated from 22.0-28.5°C. What is the…

A: Question asks about the specific heat, but the options given are of heat.    Mass, m = 59.7…

Q: Consider the two charges in the figure, which are noving in opposite directions and located a…

A: Given that: d=16 cm=0.16 mxo=31 cm=0.31 mq1=19.5 μC=19.5×10-6 Cq2=-9.5 μC=-9.5×10-6 Cv1=13.5×106…

Q: The resulting electric field vector at a point P that is a = 30 cm from the end of two wires of the…

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Q: Problem 1 Inside a vacuum tube, an electron is projected between two parallel plates. The plates are…

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Q: In a classical model of a hydrogen atom, there is a proton at the centre of the atom and an electron…

A: The speed of the electron in a hydrogen atom is v=Zkee2mer=18.99×109 N·m2/C21.6×10-19 C29.11×10-31…

Q: The velocity of a particle (m = 10 mg, q = - 4.0 µC) at t = 0 is 20 m/s in the positive x-direction.…

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Q: Three charges, each of strength Q (Q > 0) form a fixed equilateral triangle with sides of length b.…

A: For minimum speed, When particle just reach at desired position then its speed at that point becomes…

Q: Particle 1 has an electric charge q1=1C and a mass m1=9kg; Particle 2 has a charge q2=8C and a mass…

A: Mass of particle 1 is Charge on particle 1 is Mass of particle 2 is Charge on particle 2 is Initial…

Q: At t = 0 a very small object with mass 0.695 mg and charge +9.00 μC is traveling at 125 m/s through…

A: given mass of particle (m)=0.695 mg Charge on particle (q)=9 uC Initial speed of particle along x…

Q: 4. The gravitational force between two masses m₁ and m₂ located a distance r apart has a magnitude…

A: Solution:- 1) The gravitational force acring between two masses m1 and m2 , separated by a distance…

Q: What is the escape speed for an electron initially at rest on the surface of a sphere with a radius…

A: The radius of the sphere is 1.10 cm. The uniformly distributed charge on the sphere is 1.70×10-15 C.…

Q: There are three moving charges next to the observation point P. The first charge has a charge of…

A: Given : Three charges with some values and there velocities, and we want to calculate the value of…

Q: A uranium ion and an iron ion are separated by a distance of uranium ion iron ion R = 57.10 nm, as…

A: Charge on uranium ion (q1) = +1eCharge on iron ion (q2) = +2eCharge on electron (q3) = - eR = 57.10…

Q: Consider another subatomic particle called muon (u), quite similar to an electron; it is found that…

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Q: A proton with speed v =3×105×105m/s orbits just outside a charged sphere of radius r =1 cm. The…

A: Charge on Sphere is q = 1.044 × 10-9 Columb

Q: Problem 223. Two small metal balls of mass m 0.1 g are suspended at the same point by insulating…

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Q: harge of 1.70 × 10-15 C? That is, what initial speed must the electron have in order to reach an…

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Q: AU SOI the velocity components of an electron moving between two charged parallel plates are vr and…

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Q: A 1.13X10^-19 -C negative charge is travelling with a speed of 3.5X10^7 m/s through a uniform field…

A: Given data:  Charge (q) = 1.13×10-19 C Speed (v) = 3.5×107 m/s Magnetic field (B) = 0.076 T Mass (m)…

Q: Four equal charges of +Q each are kept at the vertices of a square of side R. A particle of mass m…

A: Let particle with + Q is oscillating in xy plane then we say that oscillation along x and y will be…

Q: Two neutral, square, thin copper plates (15 cm per side) are situated parallel to each other and…

A: Given Potential difference provided by the battery across the plates = 9V Seperation between the…

Q: In a classical model of a hydrogen atom, there is a proton at the center of the atom and an electron…

A: Angular momentum of an electron is an integer multiple of Planck's Constant divided by 2π, h.…

Q: An electron and a proton have charges of an equal magnitude but opposite sign of 1.6 × 10 −19 C. If…

A: the force between twocharge particle is given by Coulombs law  F=k(q1q2)/r^2

Q: Two protons (p) and two electrons (e) are arranged on a circle of radius r = 3 [cm], with angles 0₁…

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Q: A proton initially moves left to right long the x axis at a speed of 9,070  m/s. It moves into an…

A: Given data: m = 1.67 × 10−27 kg q = 1.60 × 10−19 C v =  9,070  m/s s = 0.7 m, Need to determine the…

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.