College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 30, Problem 56PE
Integrated Concepts
In a Millikan oil-drop experiment using a setup like that in Figure 30.9, a 500-V potential difference is applied to plates separated by 2.50 cm. (a) What is the mass of an oil drop having two extra electrons that is suspended motionless by the field between the plates? (b) What is the diameter of the drop, assuming it is a sphere with the density of olive oil?
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Integrated ConceptsIn a Millikan oil-drop experiment using a setup like that in Figure 30.9, a 500-V potential difference is applied to plates separated by 2.50 cm.What is the mass of an oil drop having two extra electrons that is suspended motionless by the field between the plates?
In the Millikan oil drop experiment tiny charged oil droplets generated by a spray are allowed to fall under gravity through a hole in a top electrode, T, towards a bottom electrode B separated from T by 1 cm. When a holding voltage Vh = +0.25V is applied between T and B the droplets are seen to be suspended motionless between the electrodes.
What is the specific charge of the droplet q/m?
In a laboratory experiment designed to duplicate Thomson’s determination of qe / me , a beam of electrons having a velocity of 6.00×107 m/s enters a 5.00×10−3 T magnetic field. The beam moves perpendicular to the field ina path having a 6.80-cm radius of curvature. Determine qe / me from these observations, and compare the result with the known value.
Chapter 30 Solutions
College Physics
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To answer...Ch. 30 - (a) Which line in the Balmer series is the first...Ch. 30 - A wavelength of 4.653 m is observed in a hydrogen...Ch. 30 - A singly ionized helium ion has only one electron...Ch. 30 - A beryllium ion with a single electron (denoted...Ch. 30 - Atoms can be ionized by thermal collisions, such...Ch. 30 - Verify Equations rn=n2ZaB and...Ch. 30 - The wavelength of the four Balmer series lines for...Ch. 30 - (a) What is the shortest-wavelength x-ray...Ch. 30 - A color television tube also generates some x rays...Ch. 30 - An x ray tube has an applied voltage of 100 kV....Ch. 30 - The maximum characteristic x-ray photon energy...Ch. 30 - What are the approximate energies of the K and K...Ch. 30 - Figure 30.39 shows the energy-level diagram for...Ch. 30 - A helium-neon laser is pumped by electric...Ch. 30 - Ruby lasers have chromium atoms doped in an...Ch. 30 - (a) What energy photons can pump chromium atoms in...Ch. 30 - Some of the most powerful lasers are based on the...Ch. 30 - If an atom has an electron in the n=5 state with...Ch. 30 - An atom has an electron with m1=2. 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- Integrated Concepts In a laboratory experiment designed to duplicate Thomson's determination of qe/me, a beam of electrons having a velocity of 6.00107m/s enters a 5.00103T magnetic field. The beam moves perpendicular to the field in a path having a 6.80-cm radius of curvature. Determine qe/me from these observations, and compare the result with the known value.arrow_forwardWhat is the kinetic energy of a 0.01-nm electron in a TEM?arrow_forwardAt what velocity does a proton have a 6.0-fm wavelength (about the size of a nucleus)? Give your answer in units of c.arrow_forward
- A Thomson-type experiment with relativistic electrons. One of the earliest experiments to show that p = mv (rather than p = mv) was that of Neumann. [G. Neumann, Ann. Physik 45:529 (1914)]. The apparatus shown in Figure P4.5 is identical to Thomsons except that the source of high-speed electrons is a radioactive radium source and the magnetic field B is arranged to act on the electron over its entire trajectory from source to detector. The combined electric and magnetic fields act as a velocity selector, only passing electrons with speed v, where v = V/Bd (Equation 4.6), while in the region where there is only a magnetic field the electron moves in a circle of radius r, with r given by p = Bre. This latter region (E = 0, B = constant) acts as a momentum selector because electrons with larger momenta have paths with larger radii. (a) Show that the radius of the circle described by the electron is given by r = (l2 + y2)/2y. (b) Typical values for the Neumann experiment were d = 2.51 104 m, B = 0.0177 T, and l = 0.0247 m. For V = 1060 V, y, the most critical value, was measured to be 0.0024 0.0005 m. Show that these values disagree with the y value calculated from p = mv but agree with the y value calculated from p = mv within experimental error. (Hint: Find v from Equation 4.6, use mv = Bre or mv = Bre to find r, and use r to find y.) Figure P4.5 The Neumann apparatus.arrow_forwardDiscuss the way in which Thomson’s model is nonphysical. Support your argument with experimental evidence.arrow_forwardwhat minimum acceleration voltage would be required to produce an x-ray with a wavelength of 70.0 pmarrow_forward
- Calculate the velocity (in m/s) of an electron that has a wavelength of 8.76 µm. m/s (b) Through what voltage (in V) must the electron be accelerated to have this velocity? (Assume the electron starts at rest.) Varrow_forwardIn the Millikan oil drop experiment tiny charged oil droplets generated by a spray are allowed to fall under gravity through a hole in a top electrode, T, towards a bottom electrode B separated from T by 1 cm. When a holding voltage Vh = +0.25V is applied between T and B the droplets are seen to be suspended motionless between the electrodes. What is the specific charge of the droplet q/m? Select one: a. 1.5 C/kg b. 0.392 C/kg c. 2.7 C/kg d. 0.16 C/kgarrow_forwardYou are working as a demonstration assistant for a physics professor. She wants to demonstrate to her students the buildup of the interference pattern for single electrons passing through a double slit, as shown. Her source of electrons will be a certain vacuum tube, in which electrons evaporate from a hot cathode at a slow, steady rate and accelerate from rest through a potential difference of 45.0 V. After being accelerated, they travel through a fieldfree and evacuated region before they pass through the double slits and fall on a screen to produce an interference pattern. To ensure that only one electron at a time is passing through the slits, she wants the electrons to be separated in space by d = 1.00 cm (perpendicular to the barrier containing the slits) as they approach the slit. She asks you todetermine the maximum value for the beam current that will assure that only one electron at a time passes through the slits.arrow_forward
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