Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 46P
To determine
The proof that radius of orbit in cyclotron is proportional to square root of number of orbits completed.
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Considering electron and proton as two charged particles separated by d = 5.9 × 10-11 m calculate the gravitational force between the proton and
electron and find its ratio to the Coulomb force. Take the mass of the proton 1.7 x 10-27 kg, the mass of the electron 9.1 x 10-31 kg, the value of
= 9x10⁹ m/F. Give the answer for
the universal gravitational constant 6.7 x 10-11 N kg 2m-2, the electron charge -1.6 x 10-¹9 C and
the gravitational force in 10-47 N.
1
Απερ
Answer:
What is the repulsive force (in N) between two protons if the distance between them is 171nm?
Suppose a cyclotron is operated at an oscillator frequency of 12.4 MHz and has a dee radius 45.3 cm. Estimate the total path length
traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the
dees is 84.3 kV. The deuteron mass is m - 3.34 x 10-27 kg.
Chapter 26 Solutions
Physics for Scientists and Engineers
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- Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous currentarrow_forward(a) A beam of highly energetic protons emerges from a cyclotron. Can you assume that there is a magnetic field associated with these particles? Justify your answer. (b) When a current travels through the coils of a coil spring, the coil contracts as if it were compressed. What is your explanation for the fact?arrow_forwardA cyclotron used to accelerate protons has a maximum radius of 0.4 m and the magnetic induction used is one tesla. Find the frequency of oscillator connected to the dees and the maximum velocity of emerging protons. Through what P.D. must the protons be accelerated from rest to achieve this speed? If deuterons are used instead of protons, what would be their final energy? Mp= 1.67 x 10-27 kg.arrow_forward
- Given the following massspectrometer schematic, find theB-field such that the radius of theparticle’s trajectory is 0.194 m. Assume the particle is an electronwith mass 2.36 x 10-26 kg, and beginsits trajectory in an E-field of 2.1 x103 V/m.arrow_forwardWhat is the numeric answer to problem #39?arrow_forwardAn electron and a positron are separated by distance r. Find the ratio of the gravitational force to the electric force between them. From the result, what can you conclude concerning the forces acting between particles detected in a bubble chamber? (Should gravitational interactions be considered?)arrow_forward
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