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The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]
- a)1.24 × 1015
- b)2.4 × 1020
- c)1.24 × 1018
- d)2 × 4 × 1023
Correct answer is option 'B'. Can you explain this answer?
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The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is...
Here, hc/λ = 103 eV and hv = 106 eV
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The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is...
Understanding Photon Energy and Frequency
To find the frequency of a 1 MeV photon, we can use the relationship between energy (E), frequency (ν), and Planck’s constant (h). The formula is:
\[ E = h \cdot \nu \]
Where:
- \( E \) is the energy in joules,
- \( h \) is Planck’s constant (approximately \( 6.626 \times 10^{-34} \, \text{Js} \)),
- \( \nu \) is the frequency in hertz (Hz).
Converting MeV to Joules
1 MeV (mega electronvolt) is equivalent to \( 1.602 \times 10^{-13} \) joules. Thus, for a 1 MeV photon:
\[ E = 1 \, \text{MeV} = 1.602 \times 10^{-13} \, \text{J} \]
Calculating Frequency
Now, we can calculate the frequency using the formula:
\[ \nu = \frac{E}{h} \]
Substituting the values:
\[ \nu = \frac{1.602 \times 10^{-13}}{6.626 \times 10^{-34}} \]
Calculating this gives:
\[ \nu \approx 2.42 \times 10^{20} \, \text{Hz} \]
Final Answer
Rounding this to two significant figures, we get:
\[ \nu \approx 2.4 \times 10^{20} \, \text{Hz} \]
Thus, the frequency of a 1 MeV photon is approximately \( 2.4 \times 10^{20} \, \text{Hz} \), which corresponds to option **B**.
To find the frequency of a 1 MeV photon, we can use the relationship between energy (E), frequency (ν), and Planck’s constant (h). The formula is:
\[ E = h \cdot \nu \]
Where:
- \( E \) is the energy in joules,
- \( h \) is Planck’s constant (approximately \( 6.626 \times 10^{-34} \, \text{Js} \)),
- \( \nu \) is the frequency in hertz (Hz).
Converting MeV to Joules
1 MeV (mega electronvolt) is equivalent to \( 1.602 \times 10^{-13} \) joules. Thus, for a 1 MeV photon:
\[ E = 1 \, \text{MeV} = 1.602 \times 10^{-13} \, \text{J} \]
Calculating Frequency
Now, we can calculate the frequency using the formula:
\[ \nu = \frac{E}{h} \]
Substituting the values:
\[ \nu = \frac{1.602 \times 10^{-13}}{6.626 \times 10^{-34}} \]
Calculating this gives:
\[ \nu \approx 2.42 \times 10^{20} \, \text{Hz} \]
Final Answer
Rounding this to two significant figures, we get:
\[ \nu \approx 2.4 \times 10^{20} \, \text{Hz} \]
Thus, the frequency of a 1 MeV photon is approximately \( 2.4 \times 10^{20} \, \text{Hz} \), which corresponds to option **B**.
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The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer?
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The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer?.
The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wavelength of a 1 keV photon is 1.24 × 10–9 m. What is the frequency of 1 MeV photon ? [1991]a)1.24 × 1015b)2.4 × 1020c)1.24 × 1018d)2 × 4 × 1023Correct answer is option 'B'. Can you explain this answer?.
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