Physical Optics and Gravitational Waves

Physics, HSSC-Punjab First Year. This chapter is split into 36 topics and has 834 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

  1. Brewster (polarizing) angle from the refractive index 24 questions
  2. Polarization: what it is and why it needs transverse waves 24 questions
  3. Stress analysis of materials: photoelasticity 20 questions
  4. Malus's law: intensity transmitted by an analyzer 24 questions
  5. Angle of refraction when the reflected light is fully polarized 24 questions
  6. Rotating an analyzer: angles for a given drop in intensity 24 questions
  7. Polarized sunglasses, glare and sky photography 21 questions
  8. Linear, circular and elliptical polarization 24 questions
  9. Optical activity and optically active substances 24 questions
  10. Methods of producing polarized light 21 questions
  11. Light-years and the travel time of gravitational waves 25 questions
  12. Malus's law: statement, derivation and extreme cases 25 questions
  13. Frequency and wavelength of gravitational waves 24 questions
  14. Malus's law: finding the angle between the axes 21 questions
  15. Formulae and units used with polarization and gravitational waves 20 questions
  16. Gravitational waves: meaning and the idea of space-time 25 questions
  17. Unpolarized light through a pair of polarizing filters 24 questions
  18. Space-time distortion and tidal forces 21 questions
  19. How an interferometer detects a gravitational wave 23 questions
  20. Polarization by reflection and Brewster's law 28 questions
  21. Unpolarized light and its sources 20 questions
  22. A stack of polarizing sheets each rotated by a fixed angle 20 questions
  23. Refractive index from the polarizing angle 24 questions
  24. Prediction and first detection of gravitational waves 24 questions
  25. Importance and applications of polarization 25 questions
  26. Virgo and other facts about gravitational wave observatories 22 questions
  27. Assertion and reason questions on polarization and gravitational waves 22 questions
  28. Tiny length changes in an interferometer arm 20 questions
  29. Characteristics of gravitational waves and orbital eccentricity 20 questions
  30. Amplitude of the transmitted wave: A = A0 cos(theta) 24 questions
  31. Production and detection of plane polarized light: polarizer and analyzer 24 questions
  32. Brewster angle at an interface between two media 24 questions
  33. Percentage of intensity transmitted or blocked by an analyzer 24 questions
  34. Binary systems and the four basic types of gravitational waves 25 questions
  35. The interferometer and the components of LIGO 27 questions
  36. Concept questions in the style of the chapter exercise 23 questions

Sample questions: Physical Optics and Gravitational Waves

10 sample questions with the correct answer and an explanation. Try to answer each one before reading the explanation.

Q1. Which of the following would be unpolarized light?

  • A. Light from a laser beam after a polarizing filter
  • B. Light reflected from glass at the polarizing angle
  • C. Light that has passed through a polaroid sunglass lens
  • D. Light from a candle flame reaching the eye directly(correct answer)

Answer: D.A flame emits light from many atoms with randomly oriented vibrations, while the other three sources are polarized by a filter or by reflection.

Q2. The sky light is polarized partially due to:

  • A. scattering of sunlight by small particles and molecules in the atmosphere(correct answer)
  • B. absorption of ultraviolet light by the ozone layer only
  • C. reflection of sunlight from the surface of the Moon at night
  • D. emission of light by the distant stars in all directions

Answer: A.Light scattered by air molecules and particles becomes partially polarized (the book mentions scattering as a natural polarizing process).

Q3. A gravitational-wave event happened 1.3 × 10⁹ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 1.3 × 10⁹ years(correct answer)
  • B. 3.56 × 10⁶ years
  • C. 4.74 × 10¹¹ years
  • D. 1.24 × 10¹⁰ years

Answer: A.A light-year is the distance light travels in one year, so a distance of 1.3 × 10⁹ light-years needs 1.3 × 10⁹ years at the speed of light.

Q4. A gravitational-wave event happened 2 × 10⁹ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 1.9 × 10¹⁰ years
  • B. 2 × 10⁹ years(correct answer)
  • C. 7.3 × 10¹¹ years
  • D. 5.48 × 10⁶ years

Answer: B.A light-year is the distance light travels in one year, so a distance of 2 × 10⁹ light-years needs 2 × 10⁹ years at the speed of light.

Q5. A gravitational-wave event happened 5 × 10⁸ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 1.37 × 10⁶ years
  • B. 1.82 × 10¹¹ years
  • C. 5 × 10⁸ years(correct answer)
  • D. 4.75 × 10⁹ years

Answer: C.A light-year is the distance light travels in one year, so a distance of 5 × 10⁸ light-years needs 5 × 10⁸ years at the speed of light.

Q6. A gravitational-wave event happened 1 × 10⁹ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 3.65 × 10¹¹ years
  • B. 9.5 × 10⁹ years
  • C. 1 × 10⁹ years(correct answer)
  • D. 2.74 × 10⁶ years

Answer: C.A light-year is the distance light travels in one year, so a distance of 1 × 10⁹ light-years needs 1 × 10⁹ years at the speed of light.

Q7. A gravitational-wave event happened 3 × 10⁹ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 1.1 × 10¹² years
  • B. 8.22 × 10⁶ years
  • C. 3 × 10⁹ years(correct answer)
  • D. 2.85 × 10¹⁰ years

Answer: C.A light-year is the distance light travels in one year, so a distance of 3 × 10⁹ light-years needs 3 × 10⁹ years at the speed of light.

Q8. A gravitational-wave event happened 7.5 × 10⁸ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 2.05 × 10⁶ years
  • B. 7.12 × 10⁹ years
  • C. 2.74 × 10¹¹ years
  • D. 7.5 × 10⁸ years(correct answer)

Answer: D.A light-year is the distance light travels in one year, so a distance of 7.5 × 10⁸ light-years needs 7.5 × 10⁸ years at the speed of light.

Q9. A gravitational-wave event happened 1.8 × 10⁹ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 1.8 × 10⁹ years(correct answer)
  • B. 6.57 × 10¹¹ years
  • C. 1.71 × 10¹⁰ years
  • D. 4.93 × 10⁶ years

Answer: A.A light-year is the distance light travels in one year, so a distance of 1.8 × 10⁹ light-years needs 1.8 × 10⁹ years at the speed of light.

Q10. A gravitational-wave event happened 2.5 × 10⁸ light-years away. Since the waves travel at the speed of light, how many years did they take to reach us?

  • A. 685000 years
  • B. 2.38 × 10⁹ years
  • C. 9.12 × 10¹⁰ years
  • D. 2.5 × 10⁸ years(correct answer)

Answer: D.A light-year is the distance light travels in one year, so a distance of 2.5 × 10⁸ light-years needs 2.5 × 10⁸ years at the speed of light.

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