What is the energy of a gamma photon of frequency 2.32 × 1020 X 10-13 J Hz?
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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![**Question:**
What is the energy of a gamma photon of frequency \(2.32 \times 10^{20}\) Hz?
\[ \Box \times 10^{-13} \, \text{J} \]
**Explanation:**
To find the energy of a gamma photon, we use the formula:
\[ E = h \cdot f \]
where \( E \) is the energy, \( h \) is Planck’s constant (\(6.626 \times 10^{-34} \, \text{J}\cdot\text{s}\)), and \( f \) is the frequency of the photon.
Given:
- Frequency \( f = 2.32 \times 10^{20} \, \text{Hz} \)
Substituting the values into the formula:
\[ E = 6.626 \times 10^{-34} \, \text{J}\cdot\text{s} \times 2.32 \times 10^{20} \, \text{Hz} \]
Calculate \( E \) to complete the equation:
\[ E \approx 1.54 \times 10^{-13} \, \text{J} \]
Therefore, the blank in the original question should be filled with approximately 1.54.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe60d5a34-4bce-47c4-bd59-9c5000e5a1af%2Fc41b0000-b01e-4ad7-894b-7b5b32a5caac%2Fqkqe0oe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the energy of a gamma photon of frequency \(2.32 \times 10^{20}\) Hz?
\[ \Box \times 10^{-13} \, \text{J} \]
**Explanation:**
To find the energy of a gamma photon, we use the formula:
\[ E = h \cdot f \]
where \( E \) is the energy, \( h \) is Planck’s constant (\(6.626 \times 10^{-34} \, \text{J}\cdot\text{s}\)), and \( f \) is the frequency of the photon.
Given:
- Frequency \( f = 2.32 \times 10^{20} \, \text{Hz} \)
Substituting the values into the formula:
\[ E = 6.626 \times 10^{-34} \, \text{J}\cdot\text{s} \times 2.32 \times 10^{20} \, \text{Hz} \]
Calculate \( E \) to complete the equation:
\[ E \approx 1.54 \times 10^{-13} \, \text{J} \]
Therefore, the blank in the original question should be filled with approximately 1.54.
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