Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29, Problem 36P
To determine
The shortest wavelength of X-ray.
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In x-ray production, electrons are accelerated through a high voltage AV and then decelerated by striking
a target. Show that the shortest wavelength of an x-ray that can be produced is
1240 nm · V
A min =
Δν
In x-ray production, electrons are accelerated through a high voltage ΔV and then decelerated by striking a target. Show that the shortest wavelength of an x-ray that can be produced is λmin = (1 240 nm ⋅ V)/(ΔV)
Electrons with de-Broglie wavelength λ fall on the target in
an X-ray tube. The cut-off wavelength of the emitted
X-rays is
(a) λ =
(c) λo
2mcλ²
h
2m²c²x³
h²
2
3
2h
(b) λο
(d) λ = λ
20
mc
Chapter 29 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 29.2 - Prob. 29.1QQCh. 29.2 - Prob. 29.2QQCh. 29.4 - Prob. 29.3QQCh. 29.5 - Prob. 29.4QQCh. 29.6 - Prob. 29.5QQCh. 29.6 - Prob. 29.6QQCh. 29 - Prob. 1OQCh. 29 - Prob. 2OQCh. 29 - Prob. 3OQCh. 29 - Prob. 4OQ
Ch. 29 - Prob. 5OQCh. 29 - Prob. 6OQCh. 29 - Prob. 7OQCh. 29 - Prob. 8OQCh. 29 - Prob. 9OQCh. 29 - Prob. 10OQCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 53PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66P
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- What is the maximum kinetic energy of photoelectrons ejected from sodium by the incident radiation of wavelength 450 nm?arrow_forwardThe de Brogue wavelength of a neutron is 0.01 nm. What is the speed and energy of this neutron?arrow_forwardElectrons are accelerated from rest in a vacuum tube by an accelerating voltage. They strike a target and release x-rays as a result of the collision. If the highest-energy x-ray photons emitted by the target have a wavelength of 8.00 ✕ 10−11 m, what accelerating voltage (in V) is required? answer in Varrow_forward
- Electrons in an x-ray tube accelerate through a potential difference of 10.0 kV before striking a target. If an electron produces one photon on impact with the target, what is the minimum wavelength of the resulting x rays? Find the answer by expressing energies in both SI units and electron volts.arrow_forwardA free electron in a gas is struck by a 5.95 nm X-ray, which experiences an increase in wavelength of 1.97 pm. How fast is the electron moving after the interaction with the X-ray? (in m/s) A: 1.079x105 OB: 1.220x10 Oc: 1.378x10 OD: 1.558x105 OE: 1.760x105 OF: 1.989x10 OG: 2.247x10 OH: 2.540x105 Submit Answer Tries 0/20arrow_forwardCalculate the minimum-wavelength x-ray that can be produced when a target is struck by an electron that has been accelerated through a potential difference of 21.0 kV and 1.10 ✕ 102 kV. (a) 21.0 kV ?min = m (b) 1.10 ✕ 102 kV ?min = m (c) What happens to the minimum wavelength as the potential difference increases? increasesdecreases remains the samearrow_forward
- X rays are produced in an x-ray tube by electrons accelerated through an electric potential difference of 50.0 kV. Let K0 be the kinetic energy of an electron at the end of the acceleration. The electron collides with a target nucleus (assume the nucleus remains stationary) and then has kinetic energy K1 = 0.500K0. (a) What wavelength is associated with the photon that is emitted? The electron collides with another target nucleus (assume it, too, remains stationary) and then has kinetic energy K2 = 0.500K1. (b) What wavelength is associated with the photon that is emitted?arrow_forwardLight with a frequency of 3.00 x 10^15 ejects electrons from the surface of platinum, which has a work function of 6.50 ev. What is the minimum de Broglie wavelength of the ejected electrons?arrow_forwardIn the typical X-ray lamp the electrons are accelerated in the potential difference of 10,100 V before hitting the water cooled electrode. Find the shortest wavelength of X-rays produced in this lamp. State your answer in 1010 m and round it to the nearest thousandth. For example, if you get 1.2453 × 10-10 m, you type in 1.245. Take h=6.626x10-34 J s; 1e =1.6x10-19C; c=3x10®m/s.arrow_forward
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