Intro to Spectroscopy (UV-Vis, IR) - Numerical Applications

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The Intro to Spectroscopy (UV–Vis, IR) – Numerical Applications section is dedicated to quantitative problem solving involving spectroscopic principles. This module is designed for Class 11–12 students, undergraduate learners, and competitive exam aspirants, with strong emphasis on accuracy, formula application, and data interpretation.

In this section, you will practice:

  • Numericals on electromagnetic radiation – wavelength, frequency, energy, and photon calculations

  • Beer–Lambert law calculations – absorbance, concentration, molar absorptivity, and path length

  • UV–Vis quantitative analysis problems – concentration determination and calibration curves

  • Deviation-based numericals – instrumental, chemical, and real deviations from Beer’s law

  • IR spectroscopy calculations – wavenumber–wavelength conversions and frequency analysis

  • Spectral data interpretation numericals – peak position shifts and intensity comparisons

  • Mixed-data problems combining tables, graphs, and spectra

  • NCERT- and UG-aligned numerical MCQs, including previous-year and exam-pattern questions

The content is structured to build numerical confidence, minimize calculation errors, and improve speed under exam conditions.

Strengthen your quantitative command over UV–Vis and IR spectroscopy by mastering these numerical applications, essential for scoring well in school exams, UG assessments, and competitive Chemistry tests.

Q. If a compound has a molar absorptivity of 200 L/(mol·cm) and a concentration of 0.01 mol/L, what is the absorbance at a path length of 1 cm?
  • A. 0.2
  • B. 2
  • C. 20
  • D. 0.02
Q. If a sample absorbs light at 250 nm with an absorbance of 0.5, what is the transmittance?
  • A. 50%
  • B. 25%
  • C. 75%
  • D. 100%
Q. If a solution has a concentration of 0.1 M and a path length of 1 cm, what is the absorbance if ε = 200 L/(mol·cm)?
  • A. 20
  • B. 0.2
  • C. 2
  • D. 200
Q. In a UV-Vis spectrum, what does a peak at 260 nm typically indicate?
  • A. Proteins
  • B. Nucleic acids
  • C. Lipids
  • D. Carbohydrates
Q. In IR spectroscopy, which functional group is characterized by a strong absorption around 1700 cm-1?
  • A. Alcohols
  • B. Aldehydes
  • C. Carboxylic acids
  • D. Ketones
Q. In IR spectroscopy, which functional group is indicated by a strong peak around 1700 cm-1?
  • A. Alcohol
  • B. Aldehyde
  • C. Carboxylic Acid
  • D. Carbonyl
Q. In UV-Vis spectroscopy, what does a higher absorbance indicate about the concentration of a sample?
  • A. Lower concentration
  • B. Higher concentration
  • C. No correlation
  • D. Increased path length
Q. What is the Beer-Lambert Law equation?
  • A. A = εcl
  • B. A = c/εl
  • C. A = l/εc
  • D. A = cl/ε
Q. What is the effect of increasing the path length in a UV-Vis spectrophotometer?
  • A. Decreases absorbance
  • B. Increases absorbance
  • C. No effect on absorbance
  • D. Increases wavelength
Q. What is the primary purpose of using a blank in UV-Vis spectroscopy?
  • A. To calibrate the instrument
  • B. To measure the sample absorbance
  • C. To account for solvent effects
  • D. To determine the concentration
Q. What is the primary use of IR spectroscopy in organic chemistry?
  • A. Determining molecular weight
  • B. Identifying functional groups
  • C. Measuring concentration
  • D. Analyzing reaction rates
Q. What is the typical range of wavelengths for infrared (IR) spectroscopy?
  • A. 400-700 nm
  • B. 700-1400 nm
  • C. 1400-4000 nm
  • D. 4000-10000 nm
Q. What is the wavelength range of UV-Vis spectroscopy?
  • A. 100-400 nm
  • B. 400-700 nm
  • C. 700-1000 nm
  • D. 1000-2000 nm
Q. Which of the following is NOT a common application of UV-Vis spectroscopy?
  • A. Determining protein concentration
  • B. Measuring pH
  • C. Analyzing colored compounds
  • D. Monitoring reaction kinetics
Q. Which type of spectroscopy is best suited for identifying functional groups in organic compounds?
  • A. NMR
  • B. UV-Vis
  • C. IR
  • D. Mass Spectrometry
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