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Compare the de Broglie wavelength of a bullet moving at 700 miles per hour (313 m/s) to that of an alpha particle moving at 3.40x107 miles per hour (1.52x107 m/s) and a baseball with a speed of 90.0 miles per hour (40.2 m/s). Region Particle bullet 0.00190 alpha particle 6.64 x 10-27 baseball Mass (kg) Submit Answer 0.140 Retry Entire Group Velocity (m/s) Wavelength 313 1.52 × 107 40.2 8 more group attempts remaining ultraviolet (10-8 to 107 m) X-ray (10-11 to 10-8 m) gamma (10-16 to 10-¹1 m) smaller than 10-20 m

Compare the de Broglie wavelength of a bullet moving at 700 miles per hour (313 m/s) to that of an alpha particle moving at 3.40x107 miles per hour (1.52x107 m/s) and a baseball with a speed of 90.0 miles per hour (40.2 m/s). Region Particle bullet 0.00190 alpha particle 6.64 x 10-27 baseball Mass (kg) Submit Answer 0.140 Retry Entire Group Velocity (m/s) Wavelength 313 1.52 × 107 40.2 8 more group attempts remaining ultraviolet (10-8 to 107 m) X-ray (10-11 to 10-8 m) gamma (10-16 to 10-¹1 m) smaller than 10-20 m

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Comparing de Broglie Wavelengths:** In this exercise, we compare the de Broglie wavelength of different particles under specified conditions: 1. **Bullet:** - **Mass:** 0.00190 kg - **Velocity:** 313 m/s 2. **Alpha Particle:** - **Mass:** \(6.64 \times 10^{-27}\) kg - **Velocity:** \(1.52 \times 10^7\) m/s 3. **Baseball:** - **Mass:** 0.140 kg - **Velocity:** 40.2 m/s **Objective:** - Calculate the de Broglie wavelength for each particle. - Determine the electromagnetic region to which each wavelength corresponds. **Wavelength Regions:** - **Ultraviolet:** \(10^{-8}\) to \(10^{-7}\) m - **X-ray:** \(10^{-11}\) to \(10^{-8}\) m - **Gamma:** \(10^{-16}\) to \(10^{-11}\) m - **Smaller than \(10^{-20}\) m** **Instructions:** - Use the formula \(\lambda = \frac{h}{mv}\) to calculate the de Broglie wavelength (\(\lambda\)), where \(h\) is Planck's constant (\(6.626 \times 10^{-34}\) m²kg/s). - Input your results in the designated fields and select the corresponding region based on the calculated wavelengths.
Transcribed Image Text:**Comparing de Broglie Wavelengths:** In this exercise, we compare the de Broglie wavelength of different particles under specified conditions: 1. **Bullet:** - **Mass:** 0.00190 kg - **Velocity:** 313 m/s 2. **Alpha Particle:** - **Mass:** \(6.64 \times 10^{-27}\) kg - **Velocity:** \(1.52 \times 10^7\) m/s 3. **Baseball:** - **Mass:** 0.140 kg - **Velocity:** 40.2 m/s **Objective:** - Calculate the de Broglie wavelength for each particle. - Determine the electromagnetic region to which each wavelength corresponds. **Wavelength Regions:** - **Ultraviolet:** \(10^{-8}\) to \(10^{-7}\) m - **X-ray:** \(10^{-11}\) to \(10^{-8}\) m - **Gamma:** \(10^{-16}\) to \(10^{-11}\) m - **Smaller than \(10^{-20}\) m** **Instructions:** - Use the formula \(\lambda = \frac{h}{mv}\) to calculate the de Broglie wavelength (\(\lambda\)), where \(h\) is Planck's constant (\(6.626 \times 10^{-34}\) m²kg/s). - Input your results in the designated fields and select the corresponding region based on the calculated wavelengths.
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