In 1910 Rutherford performed a classic experiment in which he directed a beam of alpha particles at a thin gold foil. He unexpectedly observed a few of the particles scattered almost directly backward. This result was not consistent with then current models of atomic structure and led Rutherford to propose the existence of a very dense concentration of positive charge at the center of an atom—the atomic nucleus. The alpha particle has a charge of +2e and the gold nucleus a charge of +79e. Suppose that an alpha particle is initially a great distance from the gold, has a kinetic energy of 5.70 MeV (5.70  106 eV), and is headed directly at a gold nucleus. How close will the particle come to the center of the nucleus? Treat the nucleus and the alpha particle as point charges.

Q: Two metal spheres, each of radius 3.2 cm, have a center-to-center separation of 3.0 m. Sphere 1 has…

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Q: Two metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.6 m. Sphere 1 has…

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Q: Two small balls with a mass of 2 g each are hanging on two separate strings 0.5  m (50 cm)  long…

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Q: An object of mass 5 × 10-6 g is placed over a thin positively charged sheet of surface density of…

A: The mass of the object, m= 5×10-6 g = 5×10-9 kg The surface charge density of the sheet, σ=4.0×10-6…

Q: A metal rod is initially neutral. It was placed in contact with a positively charged conductor. Two…

A: The metal rod is initially neutral which indicates that it has equal numbers of negative and…

Q: A 3 µC charge at x=0, y=1 m has a velocity va = x=2 m, y=0 has a velocity Vy to the motion of these…

A: According to Bio-Savart's law, the magnetic field at a point due to a moving charge is given by, B =…

Q: Two metal spheres, each of radius 4.0 cm, have a center-to-center separation of 2.9 m. Sphere 1 has…

A: Given that q1=1.4×10-8 C q2=-4.0×10-8C Radius r1=r2=4 cm Distance between the centre's of sphere…

Q: The "Millikan oil drop" experiment identified the electron as the fundamental unit of electric…

A: Force due to the electric field is upwards and weight acts downwards. Hence,

Q: How many electrons must be removed from a neutral object to leave a net charge of Q_{2} = 0.25mu*Cl?

A: Quantization: Electric charge is quantized, meaning it exists in discrete units. The elementary unit…

Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

A: given -  charge of alpha particle = +2e mass of alpha particle = 6.64 ×10-27 kg initial velocity =…

Q: Iwo metal spheres, each of radius 4.4 cm, have a center-to-center separation of 1.9 m. Sphere 1 has…

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Q: Why is the charge in air temperature negligible, while the change in temperature of hot cocoa more…

A: Flow of heat  into a body increases its temperature and flow of heat  out of body causes  decrease…

Q: Two metallic spheres of radii 1 cm and 3 cm are given charges of -10 mC and 50 mC respectively. If…

A: Let r1 =  1 cm = 0.01 m r2 = 3 cm =0.03 m Charge on sphere 1 is  Q1= - 10 mc charge on sphere 2 is…

Q: An object has a charge of -5.00 μC. How many excess electrons does it have?

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Q: A balloon is rubbed with fur and found to have a charge of -3.6 x 10^3 C. How many excess protons…

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Q: A charge of -4.25 Uc is fixed in place. From a horizontal distance of 0.0531 m, a particle of mass…

A: thank you

Q: A positive charge of 4.90 µC is fixed in place. From a distance of 3.20 cm a particle of mass 6.30 g…

A: The initial total energy of the system is equal to the sum of the potential energy and kinetic…

Q: A 2.15 g air‑inflated balloon is given an excess negative charge, ?1=−3.50×10−8 C,, by rubbing it…

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Q: onsider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q. Sphere B…

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Q: Electrons have a charge of q = -1.602 × 10-19 C. A student observes that a Styrofoam cup has a total…

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Q: One particle has a mass of 4.00 x 10-³ kg and a charge of +6.35 µC. A second particle has a mass of…

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Q: A small piece of aluminum (atomic number 13) contains 1015 atoms. (The atomic number is the number…

A: Given: number of atoms in a piece of aluminum N = 1015 atoms charge on each atom = 13*1.6*10-19 both…

Q: One particle has a mass of 4.04 x 10 kg and a charge of +6.38 µC. A second particle has a mass of…

A: The detailed solution is following.

Q: negative a bacteria ar easily a to and they can prolirerate, bacteria coating are especiany on…

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Q: Two small balls with a mass of 2 g each are hanging on two separate strings 0.5  m (50 cm)  long…

A: Coulomb's law: According to this law, the magnitude of the electric force acting between two charges…

Q: One particle has a mass of 2.65\times 10^(-3)kg and a charge of 7.60\mu C. A second particle has a…

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Q: Two small balls with a mass of 2 g each are hanging on two separate strings 0.25  m (25 cm)  long…

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Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

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Q: Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs…

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Q: Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +4q. Sphere B…

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Q: An outside force, Fo, brings two small metal spheres, A and B, at rest from a long distance away to…

A: Part (1) Given: The distance between two spheres is r=0.9 m. The mass of first sphere is mA=5.2 g.…

Q: Two metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has…

A: Given The radius of each sphere is r = 4.2 cm = 4.2 x 10-2 m. The Distance between the two spheres…

Q: An alpha particle (charge +3.20 x 10-19C, mass 6.64 x 10-27kg) is initially 5.2 cm away from a fixed…

A: Apply energy conservation principle Ui+Ki=Uf+KfkQqri+12mvi2=kQqrf+12mvf2

Q: A 60-g ball of copper has a net charge of 3 μC. What fraction of the copper's electrons have been…

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Q: The figure below shows a small, hollow, rubber ball hanging vertically from a thin, lightweight…

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Q: What is the charge of a body whose proton is 4x10^15 and 5x10^15 ?

A: Given data: Number of proton is, n1=4×1015n2=5×1015

Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

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Q: Determine the surface charge density on the negative plate.

A: Before introducing the negative plate. Analyze the following figure. Applying Newton’s law in the…

Q: Two metal spheres, each of radius 2.6 cm, have a center-to-center separation of 2.8 m. Sphere 1 has…

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Q: A small metal sphere, carrying a net charge of qt= +7.5 mC, is held in a stationary position by…

A: Write the given values of this problem. q1=+7.5 mC or +7.5×10-3 Cq2=+3 mC or+3×10-3 Cm=2 g or 2×10-3…

Q: (a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of…

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Q: An electron is shot directly toward the center of a large metal plate that has surface charge…

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.