A uniform magnetic field of 2.00×10^(−3) T is applied to put an electron into a circular orbit with angular momentum 5.00×10^(−25) kg m^2/s. Calculate the orbital radius and the speed of the electron. A uniform magnetic field of 2.00x10-T is applied to put an electron into acircular orbit with angular momentum 5.00x10-25 kg m/s. Calculate the orbitalradius and the speed of the electron.

Given Data : The magnetic field is given as B=2×10-3 T The angular momentum of the electron is given…

Answered: A uniform magnetic field of 2.00×10T is…

A uniform magnetic field of 2.00×10T is applied to put an electron into a circular orbit with angular momentum 5.00x10-5 kg m/s. Calculate the orbital radius and the speed of the electron.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter9: Atomic Structure

Section: Chapter Questions

Problem 5P: The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam...

See similar textbooks

Related questions

Q: 4) A uniform magnetic field of magnitude 0.80 T in the negative z direction is present in a region…

A: Given: The magnetic field is 0.8 T on the negative z-axis. The speed of the electron is 9.5x104 m/s…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.13 kV enters the…

A: V1 = 1.13 kV = 1.13 x 103 V d = 24.3 mm = 0.0243 m V2 = 74.2 V

Q: An electron moves in a circle of radius r = 6.46 × 10-11 m with a speed 1.78 × 106 m/s. Treat the…

Q: One long wire lies along an x axis and carries a current of 48 A in the positive x direction. A…

Q: A 2.0C charge moves with a velocity of v = ( 2i + k) m/s in a region where both a uniform magnetic…

Q: One long wire lies along an x axis and carries a current of 49 A in the positive x direction. A…

Q: In a magnetic field, B = 0.5 T, for what path radius will an electron circulate with speed of 3 ×107…

Q: What would be the radius of the circle that charge 3 would make if it was traveling at 50m/s and the…

A: Given that --- (Mass of the proton is 2 x 10-27 kg. Mass of the electron is 9 x10-31 kg.) The value…

Q: An electron moves in a circle of radius r = 5.29 * 10-11 m with speed 2.19* 10^6 m/s. Treat the…

Q: An electron (q=−1.6×10−19C, m=9.1×10−31kg) is traveling with a speed eastward with a speed of…

Q: A 12.5 micro Coulomb particle with a mass of 2.80 * 10^-5 kg moves perpendicular to a 1.01 T…

Q: A particle with a charge of −2.40×10−8 C is moving with an instantaneous velocity of magnitude 40.5…

A: Given The charge on the particle is q=-2.40×10-8 C. The magnitude of instantaneous velocity is…

Q: An electron moves in a circle of radius r = 6.65 × 10-11 m with a speed 2.87 × 106 m/s. Treat the…

Q: A beam of electrons is accelerated through a potential difference of 10 kV before entering a region…

Q: An unknown particle (m=1.23x10¯26kg) with 5 electrons in deficit enters a region between two…

A: 1) 12mvi2 + qvi = 12mvf2 + qvf⇒12mvf2=12mvi2 +qvi-vf⇒vf2=3.45×1062 +…

Q: A particle (m = 0.027 g, q = 0.5 C) has a velocity of 3,242 m/s entering an area of constant…

A: Given: Particle's mass, m=0.027 g=2.7×10-5 kg Particle's charge, q=0.5 C Particle's velocity, v=3242…

Q: A positron with kinetic energy 2.10 keV is projected into a uniform magnetic field of magnitude…

A: mass of positron (m) = mass of electron kinetic energy of positron = 2.10 keV Magnetic field…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.49 kV enters the…

Q: lons of mass 1.17 x10-26 kg and charge q = +2e are initially stationary. They gain kinetic energy by…

A: Kinetic energy of charge particle in potential Vo (1/2) mv^2 = q Vo Vo = potential M = mass V =…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the…

Q: A beam of protons is directed in a straight line along the positive z-direction through a region of…

Q: A potential difference of 15 kV is applied to a beam of electrons before entering a velocity…

Q: Refer to diagram 1b. As in problem 1: an atomic particle of mass m = 8.99x10²21 kg, charge…

A: In the provided scenario, the magnetic field is perpendicular to the velocity. Thus, the motion of…

Q: The charge to mass ratio of the electron equal 1.75x1011 C/kg, when the electron passes through…

A: Given that ratio of charge to mass and magnetic field and also given the radius of the circular…

Q: A uniform magnetic field of 2.00×10¬³T is applied to put an electron into a circular orbit with…

A: Given that the value of uniform magnetic field and angular momentum. Then We have to determine the…

Q: 11. A particle with positive charge q = 3.20 x 1019 C moves with a velocity v= (2 i + 3 j - k) m/s…

Q: One long wire lies along an x axis and carries a current of 60 A in the positive x direction. A…

A: Given data: The current in the wire placed along x-axis is I1=60 A. The current in the wire placed…

Q: An alpha particle (consisting of two protons and two neutrons), traveling at a speed of v = 1.2 x…

Q: An electron moves in a circular orbit of radius 94 cm, in an external magnetic field with velocity…

A: Given : r = 94 cm = 0.94 m v = 2.75 x 106 m/s m = 9.11 x 10-27 kg

Q: Atom 1 of mass 35 u and atom 2 of mass 37 u are both singly ionized with a charge of +e. After being…

Q: What is the speed of a beam of electrons when the simultaneous influence of an electric field of…

Q: A beam of electrons whose kinetic energy is 1.9x10 -16 J emerges from a thin foil “window” at the…

A: Given: distance of metal plate from tube, d = 0.48 mm = 0.48 × 10-3 m Kinetic energy of electron, K…

Q: A proton (m = 1.67 x 10-27 kg, q = 1.60 x 10-19 C) is moving in a 3.23 x 10-4 T magnetic field in a…

Q: An unknown particle (m=1.23x10 26kg) with 5 electrons in deficit enters a region between two…

A: The change in kinetic energy is given by KE = q V where, V is the potential difference, q is the…

Q: problem we will use a 3-dimensional Cartesian coordinate system with coordinates x, y and z. In the…

A: Force F = ma = m dv/dt Force on charge particles in magnetic field is always perpendicular to…

Q: Problem 12: A charge q = 9.6E-19 C moves with velocity v = vz k = 9500 k m/s in a uniform electric…

A: Given Data: Charge, q=9.6×10-19 C Velocity, v=vzk=9500k m/s Electric field, E=Exi=55i V/m Magnetic…

Q: What is the radius of the path of an electron (mass 9×10-31 kg and charge 1.6×10-19 C) moving at a…

A: Given: mass,m = 9×10-31 kg charge,q = 1.6×10-19 C speed,v = 3 x 107 m/s magnetic field, B = 6 ×…

Q: Choose the correct answers. 1. What is the cyclotrone frequency of an electron in a magnetic field…

Q: One long wire lies along an x axis and carries a current of 40 A in the positive x direction. A…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the…

A: It is given that,

Q: Calculate the strength of the magnetic field if the angular frequency of an electron is 5.93x10…

A: Angular frequency of electron is,

Q: One long wire lies along an x axis and carries a current of 57 A in the positive x direction. A…

Q: An electron moves in a circular path perpendicular to a constant magnetic field of magnitude 1.11…

Q: A student makes an electromagnet by winding 320 turns of wire around a wooden cylinder of diameter…

A: Given: The number of turns on a wooden cylinder is N=320. The diameter of cylinder is d=4.80 cm.…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.00 kV enters the…

A: V1 = 1000 voltsd = 29.4 mm V2 = 85.9 volts

Q: A uniform magnetic field of 2.00×10−3 T is applied to put an electron into a circular orbit with…

A: magnetic field 2.00×10−3 T angular momentum 5.00×10−25 kg m2/s To find 1) orbital radius 2) speed…

Q: Two particles A and B with equal charges accelerated through potential differences V and 8V,…

A: When particle accelerated work done by electric field is equal to increase in kinetic energy of…

Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

A uniform magnetic field of 2.00×10^(−3) T is applied to put an electron into a circular orbit with angular momentum 5.00×10^(−25) kg m^2/s. Calculate the orbital radius and the speed of the electron.

A uniform magnetic field of 2.00x10-T is applied to put an electron into a
circular orbit with angular momentum 5.00x10-25 kg m/s. Calculate the orbital
radius and the speed of the electron.

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?
The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?
A mystery particle enters the region between the plates of a Thomson apparatus as shown in Figure 4.6. The deflection angle θ is measured to be 0.20 radians (downwards) for this particle when V = 2000 V, ℓ = 10.0 cm, and d = 2.00 cm. If a perpendicular magnetic field of magnitude 4.57 × 10−2 T is applied simultaneously with the electric field, the particle passes through the plates without deflection. (a) Find q/m for this particle. (b) Identify the particle. (c) Find the horizontal speed with which the particle entered the plates. (d) Must we use relativistic mechanics for this particle?
The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.40 m. (a) What is the kinetic energy of the protons when they are ejected from the cyclotron? (b) What Is this energy in MeV? (c) Through what potential difference would a proton have to be accelerated to acquire this kinetic energy? (d) What is the period of tire voltage source used to accelerate the piotons? (e) Repeat tire calculations for alpha-particles.
What is the velocity of a beam of electrons that goes undeflected when moving perpendicular to an electric and magnetic fields. E⃗ E→ and B⃗ B→ are also perpendicular to each other and have magnitudes 4900 V/m and 6.7×10−3 T , respectively. What is the radius of the electron orbit if the electric field is turned off?
A positron with kinetic energy 2.00 keV is projected into a uniform magnetic field of magnitude 0.100 T, with its velocity vector making an angle of 89.0° with . Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
For a proton to pass undeflected in a region where the electric field is 0.5 N/C and a magnetic field of 1.25x10^-4 T, its speed must be?
A positron with kinetic energy 1.80 keV is projected into a uniform magnetic field of magnitude 0.140 T, with its velocity vector making an angle of 88.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2= 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?
In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2= 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? I need this in units of mT.
What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56×104V/m1.56×104V/m and a magnetic field of 4.62×10−3T4.62×10−3T, with both fields normal to the beam and to each other, produces no deflection of the electrons?
What is the radius of the path of an electron (mass 9×10-31 kg and charge 1.6×10-19 C) moving at a speed of 3x107 m/s in a magnetic field of 6 × 10-4 T perpendicular to it? What is its frequency? Calculate its energy in keV. ( 1 eV = 1.6 × 10-19 J).