In the mid-1800s, scientists observed four visible lines in theemission spectrum of the hydrogen atom. These lines had wavelengthsof 410 nm, 434 nm, 486 nm, and 656 nm, where 1 nm = 10-⁹ m. Thisseries of lines is part of what became known as the Balmer series, afterJohann Balmer demonstrated that their wavelengths A could bedescribed by the equation12= 1.1 x 107Although this equation worked, it was some time before scientistsunderstood why it worked.In the early 1900s, Niels Bohr proposed that the electron in ahydrogen atom could exist only in certain quantized energy states.These states were given by the equation E = -13.6/n² eV. He furtherproposed that when an electron moved from a higher energy state to alower one, the excess energy was released as a packet, or quantum, oflight known as a photon. The corresponding wavelength of a photoncould then be found with the equation λ = hc/E, where E is the energy ofthe photon, h = 4.1 x 10-15 eV's is Planck's constant, andc = 3 x 108 m/s is the speed of light. The Bohr model was in excellentagreement with the Balmer series and gave clues to the quantumnature of atoms.If the energy of a photon is doubled, which of the following propertiesof the photon will also double?O A. AmplitudeO B. WavelengthO c. FrequencyOD. IntensityIf the red line in the Balmer series has a wavelength of 656 nm, which ofthe following is closest to its frequency?OA. 4.6 x 1014 HzO B. 4,6 x 10-14 Hz.O C. 2.1 x 1015 Hz10² ( 12/21 - 12/27) m-m-1 (n = 3, 4, ...)O D. 2.1 x 10-15 HzWhich of the following is closest to the wavelength of a photon whoseenergy is 2 eV?O A. 740 nmOB. 620 nmO c. 450 nmO D. 310 nmIf the wavelength of a light beam were doubled, its frequency would be:O A. quartered.O B. halved.C. doubled.O D. quadrupled.O

Basic formula for energy that we will need here is ,E=hν=hcλh=planck constantc=speed of…

If the energy of a photon is doubled, which of the following properties of the photon will also double? O A. Amplitude O B. Wavelength O C. Frequency OD. Intensity If the red line in the Balmer series has a wavelength of 656 nm, which of the following is closest to its frequency? O A. 4.6 x 10¹4 Hz O B. 4.6 x 10-14 Hz O c. 2.1 x 10¹5 Hz O D. 2.1 x 10-15 Hz Which of the following is closest to the wavelength of a photon whose energy is 2 eV? OA. 740 nm OB. 620 nm O c. 450 nm O D. 310nm

If the energy of a photon is doubled, which of the following properties of the photon will also double? O A. Amplitude O B. Wavelength O C. Frequency OD. Intensity If the red line in the Balmer series has a wavelength of 656 nm, which of the following is closest to its frequency? O A. 4.6 x 10¹4 Hz O B. 4.6 x 10-14 Hz O c. 2.1 x 10¹5 Hz O D. 2.1 x 10-15 Hz Which of the following is closest to the wavelength of a photon whose energy is 2 eV? OA. 740 nm OB. 620 nm O c. 450 nm O D. 310nm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In the mid-1800s, scientists observed four visible lines in the
emission spectrum of the hydrogen atom. These lines had wavelengths
of 410 nm, 434 nm, 486 nm, and 656 nm, where 1 nm = 10-⁹ m. This
series of lines is part of what became known as the Balmer series, after
Johann Balmer demonstrated that their wavelengths A could be
described by the equation
1
2
= 1.1 x 107
Although this equation worked, it was some time before scientists
understood why it worked.
In the early 1900s, Niels Bohr proposed that the electron in a
hydrogen atom could exist only in certain quantized energy states.
These states were given by the equation E = -13.6/n² eV. He further
proposed that when an electron moved from a higher energy state to a
lower one, the excess energy was released as a packet, or quantum, of
light known as a photon. The corresponding wavelength of a photon
could then be found with the equation λ = hc/E, where E is the energy of
the photon, h = 4.1 x 10-15 eV's is Planck's constant, and
c = 3 x 108 m/s is the speed of light. The Bohr model was in excellent
agreement with the Balmer series and gave clues to the quantum
nature of atoms.
If the energy of a photon is doubled, which of the following properties
of the photon will also double?
O A. Amplitude
O B. Wavelength
O c. Frequency
OD. Intensity
If the red line in the Balmer series has a wavelength of 656 nm, which of
the following is closest to its frequency?
OA. 4.6 x 1014 Hz
O B. 4,6 x 10-14 Hz.
O C. 2.1 x 1015 Hz
10² ( 12/21 - 12/27) m-
m-1 (n = 3, 4, ...)
O D. 2.1 x 10-15 Hz
Which of the following is closest to the wavelength of a photon whose
energy is 2 eV?
O A. 740 nm
OB. 620 nm
O c. 450 nm
O D. 310 nm
If the wavelength of a light beam were doubled, its frequency would be:
O A. quartered.
O B. halved.
C. doubled.
O D. quadrupled.
O

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