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21. The kinetic energy of an electron accelerated in an x-ray tube is 100 keV. Assuming it is nonrelativistic, what is its wavelength?

21. The kinetic energy of an electron accelerated in an x-ray tube is 100 keV. Assuming it is nonrelativistic, what is its wavelength?

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problem_set No. 7.pdf E Final Project Autonomy.pdf problem_set No._7.pdf C:/Users/mande/Downloads/problem_set_No._7.pdf A Read aloud V Draw v F Highlight O Erase 21. The kinetic energy of an electron accelerated in an x-ray tube is 100 keV. Assuming it is nonrelativistic, what is its wavelength? 22. Suppose the velocity of an electron in an atom is known to an accuracy of 2.0 × 10° m/s (reasonably accurate compared with orbital velocíties). What is the electron's minimum uncertainty in position, and how does this compare with the approximate 0.1-nm size of the atom? 23. The decay energy of a short-lived nuclear excited state has an uncertainty of 2.0 eV due to its short lifetime. What is the smallest lifetime it can have? 24. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation Orion, which radiates with a peak wavelength of about 970 nm? (b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. 25. A simple pendulum has a length of 1.00 m and a mass of 1.00 kg. The maximum horizontal displacement of the pendulum bob from equilibrium is 3.00 cm. Calculate the quantum number n for the pendulum. 26. Electrons are ejected from a metallic surface with speeds of up to 4.60 × 105 m/s when light with a wavelength of 625 nm is used. (a) What is the work function of the surface?(b) What is the cutoff frequency for this surface? 27. X-rays having an energy of 300 keV undergo Compton scattering from a target. The scattered rays are detected at 37.0° relative to the incident rays. Find (a) the Compton shift at this angle, (b) the energy of the scattered x-ray, and (c) the energy of the recoiling ENG rch IN DIO Pause B 7 8.
Transcribed Image Text:problem_set No. 7.pdf E Final Project Autonomy.pdf problem_set No._7.pdf C:/Users/mande/Downloads/problem_set_No._7.pdf A Read aloud V Draw v F Highlight O Erase 21. The kinetic energy of an electron accelerated in an x-ray tube is 100 keV. Assuming it is nonrelativistic, what is its wavelength? 22. Suppose the velocity of an electron in an atom is known to an accuracy of 2.0 × 10° m/s (reasonably accurate compared with orbital velocíties). What is the electron's minimum uncertainty in position, and how does this compare with the approximate 0.1-nm size of the atom? 23. The decay energy of a short-lived nuclear excited state has an uncertainty of 2.0 eV due to its short lifetime. What is the smallest lifetime it can have? 24. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation Orion, which radiates with a peak wavelength of about 970 nm? (b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. 25. A simple pendulum has a length of 1.00 m and a mass of 1.00 kg. The maximum horizontal displacement of the pendulum bob from equilibrium is 3.00 cm. Calculate the quantum number n for the pendulum. 26. Electrons are ejected from a metallic surface with speeds of up to 4.60 × 105 m/s when light with a wavelength of 625 nm is used. (a) What is the work function of the surface?(b) What is the cutoff frequency for this surface? 27. X-rays having an energy of 300 keV undergo Compton scattering from a target. The scattered rays are detected at 37.0° relative to the incident rays. Find (a) the Compton shift at this angle, (b) the energy of the scattered x-ray, and (c) the energy of the recoiling ENG rch IN DIO Pause B 7 8.
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