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: A negatively charged ball with charge q = 2 × 10-C and mass m = 500 g is attached to a vertical…

A: Given Data: The charge on the ball is: q=2x10-4 C The mass of the ball is: m= 500 g The electric…

Q: A dust particle with a positrive charge of 3.00 µC and a mass of 4.00 mg, is initially at rest in a…

A:

Q: c feld 2c1.40 10 1 o An atomic nucleus has a charge of +40 e. What is the magnitude of the electric…

A: Given value--- charge = 40e . distance = 1m. We have to find--- electric field  ?

Q: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

A: According to data provided Charge of mass is 3 micro coulomb Charge density on plane is 43.8 micro…

Q: QUESTION 1 A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal…

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Q: A uniform line of charge of length 2L/3 lying between x = 0 and x = 2L/3 is charged with Q/2 as…

A: In the given question, given that the value of charge also given the figure and also given the…

Q: An electron (m = 9.11x1031 kg) accelerates in a uniform electric field E = 1.45 x 104 N/C. What is…

A:

Q: A particle of mass 0.000138 g and charge 81 mC moves in a region of space where the electric field…

A: From the question, it is given that- Mass of particle: m = 0.000138 g = 1.38 x 10-7 kg Charge on the…

Q: A small, charged particle of mass 9.42 x 10-7g and charge +4.50 x 10-12C is sent toward a fixed…

A: This question is based on Electrostatic Potential Energy topic.  The electrostatic potential energy…

Q: A proton (m 1.67 x 10 27 kg) is placed a distance x to the left of a long, vertical wire of linear…

A: Given that           the mass of the proton is (m) = 1.67×10-27Kg           Linear charge density…

Q: A helium nucleus of mass m = 6.64 ✕ 10−27 kg and charge q = 3.20 ✕ 10−19 C is in a constant electric…

A:

Q: hollow sphere has an unknown charges distributed uniformly over its surface. At a distance of 0.63 m…

A: Given  Electric field E = 4.56 × 103 N/C  Distance r = 0.63 m

Q: A particle (mass = 4.0 g, charge = 51 mC) moves along the x-axis in a region of space where the…

A: Data given ,  Mass of the particle ( m ) = 4 gm                                 = 4 × 10-3 kg…

Q: An electron moves initially to the right as it enters a region between two parallel plates that have…

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Q: A solid metal sphere of radius 4.00 m carries a total charge of -5.10 μC . |E1|=0 N/C |E2| =0 N/C…

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Q: The total electric fleld at point P, a distance x from the center of a ring of radius a, is given by…

A: E→=6.9625×105x2+0.1232xi→

Q: As shown in the given figure, a small sphere of mass 0.25 g that carries a charge of 9.0 × 10^−10 C.…

A: The formula for the electric field due to long infinite sheets are: Using the above formula, the…

Q: Two hard rubber spheres, each of mass m = 15.0 g, are rubbed with fur on a dry day and are then…

A: The mass of each sphere is 10g. The length of the insulating string is 5cm. The distance between the…

Q: A hollow sphere has an unknown charges distributed uniformly over its surface. At a distance of…

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Q: "A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly…

A: "A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly…

Q: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

A: Θ = 30 ⁰  σ = 77.8 × 10-⁶ C  q = 3 × 10-⁶ C  εo = 8.8542 × 10-¹²  F.m-1  Let the tension be T .

Q: A system has two charges qa = 2.5 x 107C and qB =-2.5 x 10 C located at points A: (0, 0, 15 cm) and…

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Q: Two charges, q 1 = 2.0 µ C and q 2 = - 2.0 µ C are separated by a distance of 2 mm. What is the…

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Q: 5)A solid metal sphere of radius 4.00 m carries a total charge of -5.10 μC . |E1|=0 N/C |E2| =0 N/C…

A: Given : A solid metal sphere of radius 4.00 m carries a total charge of -5.10 μC . |E1|=0 N/C |E2|…

Q: A Hydrogen atom consists of one electron and one proton. In an early, simple model of the hydrogen…

A: The magnitude of the electric force between the electron and proton is FE=kq1q2r2=9×109…

Q: For a dipole having magnitude of charge q = 4 × 10- C and distance between the charges d= 0.02 m. If…

A: Here we are given with a dipole of charge  q= 4×10-6 C ,  Separation distance,d= 0.02 m .  Electric…

Q: A particle of mass m=3.00x10-10 kg and charge q=5.00 nC is placed at the surface of a conducting…

A:

Q: A uniform line of charge of length 3L/4 lying between x = 0 and x = 3L/4 is charged with 2Q/3 as…

A:

Q: A small mass charged sphere (q= 3 Uc) is attached by an insulating string to the surface of a very…

A: The free-body diagram is

Q: Two charges Q1( + 2.00 μC) and Q2( + 2.00 μC) are placed symmetrically along the x-axis at x = ±…

A: Given:

Q: View image please

A: The below figure represents the net electric field at point P due to +Q and –Q charge.

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

A: Given data: Magnitude of point charge is, q1=+5.00 μC=+5.00×10-6 C. Mass of sphere is, m=4.00×10-3…

Q: An electron with a speed of 3.00 x 106 m/s moves into a uniform electric field of magnitude 1.00 x…

A: Newton's second law of motion describes that a net force is required for the accelerated motion of…

Q: An insulating rod having linear charge density 2-60.0 µC/m and linear mass density u -0.20 kg/m is…

A:

Q: A positive charge q1 = 2.70 μC on a frictionless horizontal surface is attached to a spring of force…

A:

Q: Hydrogen atom consists of one electron and one proton. In an early, simple model of the hydrogen…

A:

Q: A proton (m = 1.67 x 10-27 kg) is placed a distance y above a long, horizontal wire of linear charge…

A: When a charged particle is kept in the presence of an electric field, a force acts on it. This…

Q: A uniform line of charge of length 3L/2 lying between x = 0 and x = 3L/2 is charged with 2Q/3 as…

A: Given data: Length of line of charge, 3L2 lies between x=0 and x=3L2 Charge, 2Q3 Position, x=5L2

Q: Q15: A charged insulating sphere of radius R-0.5 m and total charge Q- 10 µC distributed uniformly…

A: R = 0.5 m Q = 10μC m= 9×10-8 kg q = 2 nC

Q: A helium nucleus of mass m = 6.64 ✕ 10−27 kg and charge q = 6.41 ✕ 10−19 C is in a constant electric…

A: a)The equation for the acceleration of a charged particle in a uniform electric field is given by,

Q: An electron starts from rest 3.0 cm from the center of a uniformly charged insulating sphere of…

A:

Q: Near the surface of the Earth, a particle with mass m and charge q hovers above an infinite plane…

A: The electric field due to the infinite plane is,

Q: A particle (mass = 4.0 g, charge = 91 mC) moves along the x-axis in a region of space where the…

A: The given data are: m=4 g=0.004 kgC=91 mC=0.091 CEx=-2.5 N/Cvx=80 m/st=2 s here, m denotes the mass,…

Q: A proton is shot directly toward the center of a large metal plate that has a surface charge density…

A:

Q: A particle (mass = 6.7 x 10-27 kg, charge = 3.2 x 10-19C) moves along the positive x axis with a…

A: Given Data: Particle mass, m=6.7×10-27 kg Particle charge, q=3.2×10-19 C Particle initial speed,…

Q: A particle of mass m=3.00x10-10 kg and charge q=5.00 nC is placed at the surface of a conducting…

A:

Q: A small mass charged sphere ( q= 3 µ C) is attached by an insulating string to the surface of a very…

A: This question can easily be solved by applying the basic concepts of electric field .

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.