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How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.?
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Understanding Photon Energy
To find out how many photons are needed to provide 1 joule of energy, we first need to calculate the energy of a single photon.
Step 1: Calculate the Energy of a Photon
The energy of a photon can be calculated using the formula:
- Energy (E) = (Planck's constant * Speed of light) / Wavelength
Where:
- Planck's constant (h) = 6.626 x 10^-34 J·s
- Speed of light (c) = 3.0 x 10^8 m/s
- Wavelength (λ) = 3000 pm = 3000 x 10^-12 m
Step 2: Substitute Values
- E = (6.626 x 10^-34 J·s * 3.0 x 10^8 m/s) / (3000 x 10^-12 m)
Step 3: Calculate the Energy
- E = (1.9878 x 10^-25 J·m) / (3000 x 10^-12 m)
- E = 6.626 x 10^-14 J
Step 4: Determine the Number of Photons (n)
To find the number of photons required to provide 1 joule of energy, use the formula:
- n = Total Energy / Energy per Photon
Calculating n
- n = 1 J / 6.626 x 10^-14 J
- n ≈ 1.51 x 10^13 photons
Final Answer
Therefore, approximately 1.51 x 10^13 photons of light with a wavelength of 3000 pm are needed to provide 1 joule of energy.
To find out how many photons are needed to provide 1 joule of energy, we first need to calculate the energy of a single photon.
Step 1: Calculate the Energy of a Photon
The energy of a photon can be calculated using the formula:
- Energy (E) = (Planck's constant * Speed of light) / Wavelength
Where:
- Planck's constant (h) = 6.626 x 10^-34 J·s
- Speed of light (c) = 3.0 x 10^8 m/s
- Wavelength (λ) = 3000 pm = 3000 x 10^-12 m
Step 2: Substitute Values
- E = (6.626 x 10^-34 J·s * 3.0 x 10^8 m/s) / (3000 x 10^-12 m)
Step 3: Calculate the Energy
- E = (1.9878 x 10^-25 J·m) / (3000 x 10^-12 m)
- E = 6.626 x 10^-14 J
Step 4: Determine the Number of Photons (n)
To find the number of photons required to provide 1 joule of energy, use the formula:
- n = Total Energy / Energy per Photon
Calculating n
- n = 1 J / 6.626 x 10^-14 J
- n ≈ 1.51 x 10^13 photons
Final Answer
Therefore, approximately 1.51 x 10^13 photons of light with a wavelength of 3000 pm are needed to provide 1 joule of energy.
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How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.?
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How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.?.
How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many photons of light with wavelenght of 3000pm are necessary to provide 1 joul of energy? Find n=? Please tell answers and how to solve it.?.
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