Explanation Given data : Consider that the energy of photons for single dental x-rays as 25 keV . Consider that the photon energy utilized for microtomography as 2.5 times of 25 keV that is equal to 62.5 keV. Explanation: Calculate the wavelength of x-ray for the photon energy of 25 keV. Consider the expression for the energy of photon. E = h f (1) Here, h is Planck's constant, which is generally known as 4.14 × 10 − 15 eV ⋅ s . Write the expression for the frequency of the photon f . f = c λ (2) Here, λ is wavelength of photon, which is given as 9.5 μ m , and c is the velocity of light in vacuum, which is generally 3 × 10 8 m s . Substitute 4.14 × 10 − 15 eV ⋅ s for h and 25 keV for E in equation (1), 25 keV = ( 4.14 × 10 − 15 eV ⋅ s ) f f = 25 × 10 3 eV 4.14 × 10 − 15 eV ⋅ s f ≃ 6 × 10 18 Hz Substitute 3 × 10 8 m s for c and 6 × 10 18 Hz for f in equation (2), 6 × 10 18 Hz = 3 × 10 8 m s λ λ = 3 × 10 8 m s 6 × 10 18 Hz λ = 50 × 10 − 12 m λ = 50 pm { ∵ 1 pm = 10 − 12 m } Hence, the wavelength the photon energy of 25 keV is 50 pm

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321879721

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 25, Problem 55P

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To find: The wavelengths of x-rays utilized for two purposes.

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Chapter 25, Problem 54P

Chapter 25, Problem 56P

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Chapter 25 Solutions

College Physics: A Strategic Approach (3rd Edition)

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The wavelengths of x-rays utilized for two purposes.

Solution Summary: The author calculates the wavelength of x-rays with photon energies of 25 and 62.5 keV.

To find: The wavelengths of x-rays utilized for two purposes.

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Chapter 25 Solutions