In Rutherford's famous scattering experiments that ledto the planetary model of the atom, alpha particles (havingcharges of +2e and masses of 6.64 x 10-27 kg) were firedtoward a gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 2.00 x 107m/s directly toward the nucleus, as in Figure P16.23. Howclose does the alpha particle get to the gold nucleus beforeturning around? Assume the gold nucleus remains stationary.79ev = 02e+ + +Figure P16.23

When the alpha particle is at very far distance from the gold nucleus, potential energy will be…

Answered: In Rutherford's famous scattering…

University Physics Volume 2

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Chapter6: Gauss's Law

Section: Chapter Questions

Problem 55P: The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the...

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(a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in Figure P13.13. (b) How would the electric field at that point be affected if the charge there were doubled? Would the magnitude of the electric force be affected?
A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.
The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
An object of mass 5 × 10-6 g is placed over a thin positively charged sheet of surface density of charge σ = 4.0 × 10-6C/m2 (figure shown below). Estimate the charge that should be given to this object so that upon release it will not fall down. Calculate the number of electrons that is to be removed to give this charge. How much mass loss is caused by this removal of electrons?
Silicon wafers are made to create the most groundbreaking invention of mankind - microprocessors. If two silicon wafers (assume dipoles), both with masses of 125 g, radii of 10 cm and thickness of 7 µm are placed close to each other, separated by a distance of 3 cm, what is the electric field strength experienced by an electron placed on the surface of the negatively charged wafer? What is the final velocity of the electron upon reaching the positively charged plate? How much power is generated by the electron in its travel?
a gold nucleus emanates an electric field, holding all its electrons in place. how strong is the electric field experienced by a single electron from its outermost orbital, loctaed at 136 pm? how fast is it moving on its circular orbit, assuming it has a hypothetical plane orbit? how much kinetic energy is gained by the electron?
Silicon wafers are made to create the most groundbreaking invention of mankind - microprocessors. If two silicon wafers (assume dipoles), both with masses of 125 grams, radii of 10 cm and thickness of 7x10^-6 m are placed close to each other, separated by a distance of 3 cm, what is the electric field strength experienced by an electron placed on the surface of the negatively charged wafer? What is the final velocity of the electron upon reaching the positively charged plate? How much power is generated by the elctron in its travel?
Silicon wafers are made to create the most groundbreaking invention of mankind - microprocessors. If two silicon wafers (assume dipoles), both with masses of 125grams, radii of 10cm and thickness of 7 um are placed close to each other, separated by a distance of 3cm, what is the electric field strength experienced by an electron placed on the surface of the negatively charged wafer? What is the final velocity of the electron upon reaching the positively charged plate? How much power is generated by the electron in its travel?
The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. Given the oil drop to be 1.00 μm in radius and have a density of 920 kg/m3 :(a) Find the weight of the drop. (b) If the drop has a singleexcess electron, find the electric field strength needed to balance its weight.
A particle of mass 5.4×10^−6 g and a charge of −2 nC starts out traveling horizontallyat 500 m/s straight between two oppositely charged plates separated by 3 cm. The plateshave surface charge densities of 9 µC/m^2Determine the following:a) How long till it impacts either plate?b) How far will it travel horizontally until it impacts one of the plates?
A charged oil drop of mass m=8.00×10-4 kg is held floating (at rest) between two infinite plates. The plates are uniformly charged with densities +o and -o, where o= 1.1 nC/m2. Find the charge Q (in uC) of the oil drop. +o

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