A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e, mass 4mp) are accelerated from rest through a common potential difference ΔV. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius rp. In terms of rp, determine (a) the radius rd of the circular orbit for the deuteron and (b) the radius r for the alpha particle.

Q: A particle of mass 11.3 g and charge 91.5 µC moves through a uniform magnetic field, in a region…

A: Mass of the particle, m = 11.3 g=> m = kg=> m = 0.0113 kgCharge, q = 91.5μC=> q = C=> q…

Q: Problem 7: An alpha particle (consisting of two protons and two neutrons), traveling at a speed of…

A: Particle : Alpha particle Number of protons = 2 Number of neutrons = 2 Speed (v) = 1.4×105…

Q: A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial…

A: Magnetic field , B = 0.5 mT = 0.5 x 10-3 T  Velocity is particle , V =  1 x 106 m/s  Radius of…

Q: :A proton moves through a uniform magnetic field given by B = (30 î – 20ĵ) mT. At a time t1, the…

A: Given Data Uniform magnetic field is given as B→=(30.0 i^-20.0j^) mT=(30.0i^-20.0j^ )×10-3 T…

Q: A stream of protons and deuterons in a vacuum chamber enters a uniform magnetic field. Both protons…

A: We are given the 2 particles. One is proton and other is deuteron. Both have charge equal to…

Q: Particle 1 and particle 2 have masses of m 1.2 x 10 kg and m₂-52x10 kg, but they carry the same…

A: Given;-         Mass of particle 1 (m1) = 1.2×10-8 kg        Charge of particle 1 (q1) = 1…

Q: In the figure, a charged particle moves into a region of uniform magnetic field B, goes through half…

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Q: An electron (charge −e) orbits with speed 2×10^6 [m/s] around a central proton (charge +e, along a…

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Q: An electron is moving in the xy plane, and at a particular instant the electron has the velocity…

A: The force experienced by a charged particle moving in a magnetic field is given by the equation F =…

Q: Particle 1 and particle 2 have masses of m₁ = 2.0 × 10-8 kg and m₂ = 4.8 × 10-8 kg, but they carry…

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Q: The figure below shows a charged particle that enters at point O and exits at point P. In the given…

A: The mass of the particle, m=1.50×10-26 kg The magnetic field, B=50 T The velocity of the particle,…

Q: One long wire lies along an x axis and carries a current of 52 A in the positive x direction. A…

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Q: A particle of charge q = 15 mC is moving with a speed of 2.4 10* m/s in the +x direction in a…

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Q: At one instant, 7 = -2.00 +4.00-6.00km is the velocity of a proton in a uniform magnetic field B =…

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Q: A proton moves with a velocity of v = (Sî – 4j + k) m/s in a region in which the magnetic field is B…

A: Given: The velocity vector is 5i⏜-4j⏜+k⏜ m/s. The magnetic field vector is i⏜+2j⏜-k⏜ T.…

Q: One long wire lies along an x axis and carries a current of 62 A in the positive x direction. A…

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Q: In the figure, a particle moves along a circle in a region of uniform magnetic field of magnitude B…

A: Let the particle be electron. The magnetic field is directed into the page. Hence, the angle between…

Q: A particle with charge q = 1.5 C and a long wire carrying current I = 3 A is on the xy-plane at the…

A: Charge q=1.5 C Current through the wire i=3 A Distance of charge from the wire d=0.5 cm Velocity of…

Q: Consider a particle that has a charge to mass ratio of Im/ql=6.5x10-8 kg/C. The particle enters a…

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Q: A charged ion enters a region of uniform magnetic field B with a speed of v-25x10 m/s. The ion makes…

A: The details about the circular motion of the charge are given and we need to calculate the magnetic…

Q: 1. A proton is entering magnetic field B 0.2 i-0.5 j+ 0.4 k. If the proton moves at v (4000i + 5000…

A: To find the force vector acting on the proton

Q: he figure, a charged particle moves into a region of uniform magnetic field B,goes through half a…

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Q: A charged ion enters a region of uniform magnetic field B with a speed of v- 2.5×10° m/s. The ion…

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Q: You want to determine the mass of an unknown particle, X. You ionize the particle, by removing an…

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Q: A particle of charge q and mass m moves in the positive direction of the x-axis with velocity v. The…

A: Step 1: Step 2:

Q: 5. An electron is sent through a mass spectrometer similar to the diagram shown below. The electron…

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Q: A negatively charged ion with an excess electron moving with a velocity vx = 1.095 x103 m/s is…

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Q: An alpha particle travels at a velocity v of magnitude 550 m/s through a uniform magnetic field B of…

A: Answer..

Q: A positive charge q is moving in the xy plane with velociy v = vcos(theta) ihat + vsin(theta)jhat.…

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Q: proton moves perpendicular to a uniform magnetic field B at a speed of 1.70  107 m/s and experiences…

A: When a charge is present in magnetic field it will experience magnetic force.  Due to magnetic force…

Q: n electron moves along the z-axis with v₂ = 4.7 x 107 m/s. s it passes the origin, what are the…

A: We are given the velocity of the electron. We know that the magnetic field at a point due to charge…

Q: One long wire lies along an x axis and carries a current of 36 A in the positive x direction. A…

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Q: After being accelerated to a speed of 1.80×105 m/s, the particle enters a uniform magnetic field of…

A: The given data are: v=1.8×105 m/sB=0.8 Tr=30 cm=0.3 m Here, v, B,and r represent the speed, magnetic…

Q: A proton (charge +e, mass m,), a deuteron (charge +e, mass 2m,), and an alpha particle (charge +2e,…

A: Given  Cahrge of proton e and mass of proton mp Charge of deuteron e mass 2mp charge of alpha…

Q: The magnetic field in a cyclotron used in proton beam cancer therapy is 0.360 T. The dees have…

A: The objective of the question is to find the maximum speed a proton can achieve in a cyclotron given…

Q: An electron moves along the z-axis with vz=3.9×107m/svz=3.9×107m/s. As it passes the origin, what…

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Q: One long wire lies along an x axis and carries a current of 54 A in the positive x direction. A…

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Q: A proton moves in the magnetic field B = 0.42% T with a speed of 1.4 x 107 m/s in the directions…

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Q: A proton moves with a velocity of v = (3î – 4ĵ + k) m/s in a region in which the magnetic field is B…

A: Recall F→=q(V→×B→)

Q: ou observe an electron moving on your screen in a clockwise circle of radius 5.74 cm, at a constant…

A: Given data: An electron moving in uniform circular motion in presence of uniform magnetic field…

Q: Problem 4 = The figure below shows a mass spectrometer, a device used to measure the masses of ions.…

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Q: Medical cyclotrons need efficient sources of protons to inject into their center. In one kind of ion…

A: Given Data:Magnetic field is Kinetic energy of electron is expression for kinetic energy isWhere, is…

Q: To better understand the Earth's climate history, you are using a mass spectrometer to distinguish…

A: The equation for the diameter D of a charged particle's circular path in a magnetic field can be…

Q: A proton moves perpendicularly to a mag- netic field that has a magnitude of 3.00 × 10−2 T. The…

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.