Refractive index – determination and applications MCQs With Answer

Refractive index – determination and applications MCQs With Answer is an essential resource for B. Pharm students studying physicochemical properties of drugs. This introduction explores the refractive index (n), its measurement using Abbe and digital refractometers, dependence on wavelength (dispersion) and temperature, and important pharma applications such as concentration analysis, solvent identification, purity testing, and polymer/drug formulation characterization. Understanding concepts like Snell’s law, critical angle, molar refraction and the relationship between refractive index and polarizability helps in quality control and formulation development. These focused, exam-oriented MCQs reinforce theory, instrumentation, calculations and real-world pharmaceutical uses. Now let’s test your knowledge with 50 MCQs on this topic.

Q1. What is the refractive index of a medium?

  • The ratio of the speed of light in vacuum to its speed in the medium
  • The speed of light in the medium
  • The angle between incident and refracted rays
  • The wavelength of light in the medium

Correct Answer: The ratio of the speed of light in vacuum to its speed in the medium

Q2. Which instrument is commonly used in laboratories to measure refractive index for liquids?

  • UV-Vis spectrophotometer
  • Abbe refractometer
  • Mass spectrometer
  • Polarimeter

Correct Answer: Abbe refractometer

Q3. The refractive index is typically reported at which standard wavelength for pharma measurements?

  • 488 nm (blue)
  • 365 nm (UV)
  • 589 nm (sodium D-line)
  • 632.8 nm (He-Ne laser)

Correct Answer: 589 nm (sodium D-line)

Q4. Which law describes the relationship between angles of incidence and refraction?

  • Beer’s law
  • Snell’s law
  • Kirchhoff’s law
  • Le Chatelier’s principle

Correct Answer: Snell’s law

Q5. Refractive index is a dimensionless quantity because it is a ratio of:

  • Two wavelengths
  • Two speeds
  • Two angles
  • Two frequencies

Correct Answer: Two speeds

Q6. Which factor causes dispersion in refractive index?

  • Temperature only
  • Wavelength dependence of light
  • Pressure only
  • Concentration only

Correct Answer: Wavelength dependence of light

Q7. Which equation approximates the relationship between refractive index and dielectric constant for non-magnetic materials?

  • n ≈ √ε_r
  • n = ε_r × μ_r
  • n = c/λ
  • n = 1/ε_r

Correct Answer: n ≈ √ε_r

Q8. In quality control, refractive index measurements are often used to:

  • Determine molecular weight directly
  • Estimate concentration and detect impurities
  • Measure pH of solutions
  • Assess thermal stability

Correct Answer: Estimate concentration and detect impurities

Q9. Which refractometer feature minimizes human reading error?

  • Manual prism adjustment
  • Digital readout
  • Glass scale
  • Analog dial

Correct Answer: Digital readout

Q10. The critical angle for total internal reflection occurs when light travels from:

  • A less dense to a more dense medium
  • A more dense to a less dense medium
  • Vacuum to glass
  • Air to vacuum

Correct Answer: A more dense to a less dense medium

Q11. The Abbe refractometer determines refractive index by measuring:

  • Absorbance at a wavelength
  • Critical angle or minimum deviation using a prism
  • Mass of a sample
  • Optical rotation

Correct Answer: Critical angle or minimum deviation using a prism

Q12. Which expression defines molar refraction (R)?

  • R = (n^2 – 1)/(n^2 + 2) × (M/ρ)
  • R = n × M × ρ
  • R = c/λ × M
  • R = ε × ρ

Correct Answer: R = (n^2 – 1)/(n^2 + 2) × (M/ρ)

Q13. Gladstone–Dale relation links refractive index of a mixture to:

  • Sum of refractive indices of pure components
  • Weighted sum of refractive contributions of components
  • Product of component densities
  • Logarithm of concentrations

Correct Answer: Weighted sum of refractive contributions of components

Q14. A decrease in temperature typically causes refractive index of a liquid to:

  • Increase
  • Decrease
  • Remain constant
  • Change unpredictably

Correct Answer: Increase

Q15. Refractive index measurements can help detect adulteration in pharmaceutical excipients by:

  • Measuring thermal conductivity
  • Comparing measured n with reference values
  • Analyzing magnetic susceptibility
  • Checking electrical resistance

Correct Answer: Comparing measured n with reference values

Q16. The term nD refers to refractive index measured at:

  • The D-line of sodium (589 nm)
  • Deep UV region
  • Infrared region
  • Green light (532 nm)

Correct Answer: The D-line of sodium (589 nm)

Q17. Which relation approximates how refractive index changes with concentration for dilute solutions?

  • Linear dependence: n = n0 + k·c
  • Exponential: n = n0·e^{kc}
  • Inverse: n = n0/c
  • Quadratic only

Correct Answer: Linear dependence: n = n0 + k·c

Q18. Which concept explains the microscopic origin of refractive index in materials?

  • Electron polarizability interacting with the electromagnetic field
  • Nuclear decay
  • Gravitational attraction between atoms
  • Ionic conductivity

Correct Answer: Electron polarizability interacting with the electromagnetic field

Q19. Lorentz-Lorenz equation relates refractive index to:

  • Viscosity
  • Molar refractivity and density
  • Melting point
  • Thermal expansion coefficient

Correct Answer: Molar refractivity and density

Q20. For transparent polymers in formulations, refractive index matching is used to:

  • Increase melting point
  • Reduce scattering and improve clarity
  • Change chemical stability
  • Modify osmotic pressure

Correct Answer: Reduce scattering and improve clarity

Q21. Which measurement is directly used to determine the critical angle at an interface?

  • Refractive index difference only
  • Angle of total internal reflection when transmitted ray grazes the surface
  • Absorbance at 280 nm
  • Optical rotation of polarized light

Correct Answer: Angle of total internal reflection when transmitted ray grazes the surface

Q22. Digital refractometers often correct readings for:

  • Magnetic field
  • Temperature
  • pH
  • Humidity

Correct Answer: Temperature

Q23. Which of the following is NOT an application of refractive index in pharmaceutical analysis?

  • Concentration estimation
  • Identification of solvents
  • Determination of optical isomerism (chirality)
  • Purity assessment

Correct Answer: Determination of optical isomerism (chirality)

Q24. A refractometer measuring Brix is primarily used to estimate:

  • Viscosity of solutions
  • Sugar concentration (or soluble solids) in solutions
  • pH of the sample
  • Protein content

Correct Answer: Sugar concentration (or soluble solids) in solutions

Q25. Which property of a liquid sample can influence its refractive index the most?

  • Concentration of solute
  • Color
  • Electrode potential
  • Magnetic susceptibility

Correct Answer: Concentration of solute

Q26. In a prism refractometer, the principle of measurement is based on:

  • Photoelectric effect
  • Refraction and total internal reflection at the prism-sample interface
  • Diffraction of light through a grating
  • Thermal emission

Correct Answer: Refraction and total internal reflection at the prism-sample interface

Q27. Refractive index can be used to estimate molar mass when combined with which technique?

  • NMR spectroscopy
  • Light scattering (e.g., Rayleigh scattering) and refractive index increment (dn/dc)
  • IR spectroscopy alone
  • pH titration

Correct Answer: Light scattering (e.g., Rayleigh scattering) and refractive index increment (dn/dc)

Q28. The refractive index of air is approximately:

  • 0.5
  • 1.0003
  • 2.0
  • 1.5

Correct Answer: 1.0003

Q29. Which of the following will NOT change the refractive index of a pure liquid significantly?

  • Small temperature change
  • Adding a solute
  • Changing wavelength measured (dispersion)
  • Changing the container material

Correct Answer: Changing the container material

Q30. Specific refractivity is useful because it is:

  • Dependent only on temperature
  • An additive property related to molecular composition
  • A measure of ionic strength
  • Equal to refractive index squared

Correct Answer: An additive property related to molecular composition

Q31. Which reference value is essential when using refractive index for concentration determination?

  • Known relation between n and concentration (calibration curve)
  • Boiling point of solvent
  • Magnetic susceptibility of solute
  • Viscosity of the solution

Correct Answer: Known relation between n and concentration (calibration curve)

Q32. In refractometry, a sample with suspended particles will typically cause:

  • Lower reading due to dilution only
  • Scattering and unreliable refractive index readings
  • No change in measurement
  • Higher thermal stability

Correct Answer: Scattering and unreliable refractive index readings

Q33. Which mathematical relation describes Snell’s law?

  • n1 sinθ1 = n2 sinθ2
  • n1 cosθ1 = n2 cosθ2
  • n1 + n2 = constant
  • n1 / n2 = θ1 / θ2

Correct Answer: n1 sinθ1 = n2 sinθ2

Q34. For highly absorbing samples in the visible range, refractive index measurement is:

  • Unaffected
  • Challenging and possibly inaccurate due to absorption
  • More accurate than for transparent samples
  • Independent of wavelength

Correct Answer: Challenging and possibly inaccurate due to absorption

Q35. The refractive index of water at 20°C (nD) is approximately:

  • 1.00
  • 1.333
  • 1.5
  • 2.0

Correct Answer: 1.333

Q36. Which parameter is often reported along with refractive index to fully describe the optical behavior?

  • Surface tension
  • Dispersion or Abbe number
  • Electrical conductivity
  • Melting point

Correct Answer: Dispersion or Abbe number

Q37. In pharmaceutical formulations, refractive index measurements can monitor:

  • Evaporation and concentration changes during processing
  • Radioactivity
  • Bacterial contamination directly
  • Viscosity only

Correct Answer: Evaporation and concentration changes during processing

Q38. Which term describes change in refractive index with wavelength?

  • Chromatography
  • Dispersion
  • Diffraction
  • Reflection coefficient

Correct Answer: Dispersion

Q39. The refractive index increment (dn/dc) is important in polymer analysis because it:

  • Relates refractive index to concentration for light scattering molecular weight determination
  • Measures thermal expansion
  • Indicates pH sensitivity
  • Quantifies color changes

Correct Answer: Relates refractive index to concentration for light scattering molecular weight determination

Q40. Which calibration standard is commonly used for refractometers?

  • Pure ethanol at any temperature
  • Distilled water at a defined temperature
  • Table salt solution
  • Glycerin without reference

Correct Answer: Distilled water at a defined temperature

Q41. In emulsions, refractive index mismatch between phases causes:

  • Increased clarity
  • Scattering and opacity
  • Reduced density
  • Change in pH

Correct Answer: Scattering and opacity

Q42. Which phenomenon is used by total internal reflection refractometers?

  • Transmission maximization
  • Total internal reflection at angles beyond the critical angle
  • Absorption peak shifts
  • Fluorescence emission

Correct Answer: Total internal reflection at angles beyond the critical angle

Q43. Molar refractivity gives insight into which molecular property?

  • Polarizability of molecules
  • Number of stereocenters
  • Boiling point only
  • Magnetic moment

Correct Answer: Polarizability of molecules

Q44. When reporting refractive index for official specifications, it is important to include:

  • Measurement temperature and wavelength
  • Only the instrument brand
  • Only the sample color
  • Storage humidity

Correct Answer: Measurement temperature and wavelength

Q45. The presence of dissolved salts in water generally causes the refractive index to:

  • Decrease significantly
  • Increase
  • Remain exactly constant
  • Become negative

Correct Answer: Increase

Q46. Which optical constant is closely related to refractive index for non-magnetic materials?

  • Dielectric constant (permittivity)
  • Magnetic permeability
  • Specific heat
  • Viscosity

Correct Answer: Dielectric constant (permittivity)

Q47. In dissolution testing, refractive index can be used to:

  • Directly measure osmolarity
  • Monitor concentration changes of dissolved drug if optically appropriate
  • Replace HPLC in all cases
  • Measure tablet hardness

Correct Answer: Monitor concentration changes of dissolved drug if optically appropriate

Q48. Which sample condition is essential for accurate refractive index measurement?

  • Presence of bubbles and particulates
  • Homogeneous and particle-free sample
  • Highly colored and opaque solution
  • Very high turbidity

Correct Answer: Homogeneous and particle-free sample

Q49. The relationship between refractive index n and molecular polarizability α for gases at low density can be given by:

  • Clausius-Mossotti or Lorentz-Lorenz type relation
  • Beer–Lambert law
  • Raoult’s law
  • Henderson–Hasselbalch equation

Correct Answer: Clausius-Mossotti or Lorentz-Lorenz type relation

Q50. Why is refractive index considered a useful physico-chemical parameter in pharmaceutical compendia?

  • Because it directly measures potency
  • Because it is easy to measure, reproducible and indicative of purity/composition
  • Because it measures microbial contamination
  • Because it replaces all chromatography

Correct Answer: Because it is easy to measure, reproducible and indicative of purity/composition

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