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Question

The wavelength in the bright-line emission spectrum of an element are

The correct answer is

characteristic of the particular element

Understanding the Bright-Line Emission Spectrum

When an element is heated or excited, its atoms emit light at specific wavelengths. This emitted light, when passed through a prism or diffraction grating, produces a pattern of bright lines on a dark background. This pattern is called the bright-line emission spectrum.

What Determines the Wavelengths in the Emission Spectrum?

The wavelengths of light emitted by an atom are directly related to the energy transitions of its electrons. Electrons in an atom occupy specific energy levels. When an electron absorbs energy, it moves to a higher energy level (becomes excited). When this excited electron falls back to a lower energy level, it releases the excess energy as a photon of light. The energy of the photon, and thus its wavelength, is determined by the difference in energy between the two levels.

Each element has a unique arrangement of electron energy levels. Because these energy levels are discrete and unique for each element, the energy differences between them are also unique. Consequently, the wavelengths of the emitted photons are specific and characteristic of that particular element. This makes the emission spectrum a unique fingerprint for each element, crucial for element identification.

Analyzing the Options for Emission Spectrum Wavelengths

  • Option 1: characteristic of the particular element
    This statement is correct. As explained above, the unique electron energy levels of an element lead to a unique set of wavelengths in its bright-line emission spectrum. This property is fundamental to spectroscopy and element identification.
  • Option 2: the same for all the elements
    This statement is incorrect. If the emission spectrum wavelengths were the same for all elements, we would not be able to distinguish between different elements based on their emitted light.
  • Option 3: evenly distributed throughout the visible spectrum
    This statement is incorrect. The emission spectrum consists of discrete bright lines at specific wavelengths, not a continuous or evenly spread distribution of light across the spectrum.
  • Option 4: different from the wavelengths in its dark-line absorption spectrum
    This statement is generally incorrect. According to Kirchhoff's laws of spectroscopy, the wavelengths of light that an element emits when excited are the same as the wavelengths of light that the element absorbs when white light passes through it. Therefore, the bright lines in the emission spectrum occur at the same wavelengths as the dark lines in the absorption spectrum for a given element.

Conclusion on Bright-Line Emission Spectra

The wavelengths observed in the bright-line emission spectrum of an element are a unique characteristic determined by the element's atomic structure, specifically its electron energy levels. This makes the emission spectrum a powerful tool for identifying unknown elements, a process known as element identification using atomic spectra or spectroscopy. The spectral lines serve as a unique fingerprint for each substance.

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Important Questions from Electromagnetic Spectrum

  1. An electromagnetic wave propagates through a linear, isotropic, and homogeneous material medium.
    If this medium has a relative permittivity of $\varepsilon_r$ and a relative permeability of $\mu_r$, and the speed of light in vacuum is $c$, what is the ratio of the speed of the electromagnetic wave in the medium ($v$) to its speed in vacuum ($c$)?
  2. The correct order of electromagnetic spectrum with decreasing frequency is:

  3. The value of the proportionality constant μo/(4π) is equal to _________ Tm/A.

  4. Match List I with List II

    List – I

    List – II

    US New Military Bands for Microwaves

    Frequency range in GHz

    A.

    H band

    I.

    2.000 ‐ 3.000 GHz

    B.

    J band

    II.

    4.000 ‐ 6.000 GHz

    C.

    G band

    III.

    6.000 ‐ 8.000 GHz

    D.

    E band

    IV.

    10.000 ‐ 20.000 GHz

    Choose the correct answer from the options given below:

  5. The wave number of the limiting line of the series (visible) in hydrogen spectrum is:

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