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What is the shortest wavelength present in the Paschen series of spectral lines?
- a)840 nm
- b)800 nm
- c)860 nm
- d)820 nm
Correct answer is option 'D'. Can you explain this answer?
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Paschen Series
The Paschen series is a series of spectral lines in the infrared region of the electromagnetic spectrum. It is named after Friedrich Paschen, who discovered it in 1908. The series corresponds to transitions from higher energy levels to the third energy level of the hydrogen atom.
Wavelength Calculation
The formula for calculating the wavelength of spectral lines in the Paschen series is:
1/λ = R [1/32 - 1/n^2]
where λ is the wavelength, R is the Rydberg constant, and n is an integer representing the energy level.
The shortest wavelength in the Paschen series corresponds to the transition from the fourth energy level (n=4) to the third energy level (n=3). Plugging these values into the formula, we get:
1/λ = R [1/32 - 1/4^2]
1/λ = R [1/32 - 1/16]
1/λ = R [3/256]
λ = 256/3R
Substituting the value of the Rydberg constant (1.097 x 10^7 m^-1), we get:
λ = 820.4 nm
Therefore, the correct answer is option 'D' (820 nm) as it represents the shortest wavelength present in the Paschen series of spectral lines.
The Paschen series is a series of spectral lines in the infrared region of the electromagnetic spectrum. It is named after Friedrich Paschen, who discovered it in 1908. The series corresponds to transitions from higher energy levels to the third energy level of the hydrogen atom.
Wavelength Calculation
The formula for calculating the wavelength of spectral lines in the Paschen series is:
1/λ = R [1/32 - 1/n^2]
where λ is the wavelength, R is the Rydberg constant, and n is an integer representing the energy level.
The shortest wavelength in the Paschen series corresponds to the transition from the fourth energy level (n=4) to the third energy level (n=3). Plugging these values into the formula, we get:
1/λ = R [1/32 - 1/4^2]
1/λ = R [1/32 - 1/16]
1/λ = R [3/256]
λ = 256/3R
Substituting the value of the Rydberg constant (1.097 x 10^7 m^-1), we get:
λ = 820.4 nm
Therefore, the correct answer is option 'D' (820 nm) as it represents the shortest wavelength present in the Paschen series of spectral lines.
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What is the shortest wavelength present in the Paschen series of spectral lines?a)840 nmb)800 nmc)860 nmd)820 nmCorrect answer is option 'D'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about What is the shortest wavelength present in the Paschen series of spectral lines?a)840 nmb)800 nmc)860 nmd)820 nmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the shortest wavelength present in the Paschen series of spectral lines?a)840 nmb)800 nmc)860 nmd)820 nmCorrect answer is option 'D'. Can you explain this answer?.
What is the shortest wavelength present in the Paschen series of spectral lines?a)840 nmb)800 nmc)860 nmd)820 nmCorrect answer is option 'D'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about What is the shortest wavelength present in the Paschen series of spectral lines?a)840 nmb)800 nmc)860 nmd)820 nmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the shortest wavelength present in the Paschen series of spectral lines?a)840 nmb)800 nmc)860 nmd)820 nmCorrect answer is option 'D'. Can you explain this answer?.
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