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Chapter 10: Wave Optics

NCERT Solutions for CBSE Class 10 Physics — 105 solved questions with detailed explanations.

105

Questions

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Solved Questions

Q1. In Young's double slit experiment, the fringe width is given by:

λD/d
d/λD
λd/D
D/λd

Difficulty: Easy · Topic: YDSE

Solution

Fringe width β = λD/d, where D is screen distance and d is slit separation.

Q2. In single slit diffraction, the width of central maximum is:

λD/a
2λD/a
λa/D
a/λD

Difficulty: Easy-Medium · Topic: Diffraction

Solution

Central maximum width = 2λD/a for single slit diffraction.

Q3. Brewster's angle is related to refractive index by:

tanθ_B = n
sinθ_B = n
cosθ_B = n
cotθ_B = n

Difficulty: Easy-Medium · Topic: Polarization

Solution

Brewster's law: tanθ_B = n = μ. At this angle, reflected light is completely polarized.

Q4. Diffraction is more pronounced when obstacle size is:

much larger than wavelength
comparable to wavelength
zero
much smaller

Difficulty: Easy-Medium · Topic: Wave Optics Concepts

Solution

comparable to wavelength.

Q5. Polarization proves that light is:

transverse wave
neither
both
longitudinal wave

Difficulty: Easy-Medium · Topic: Wave Optics Concepts

Solution

transverse wave.

Q6. In constructive interference, path difference is:

(2n+1)λ/2
nλ/2
nλ
(n+1)λ

Difficulty: Easy-Medium · Topic: Wave Optics Concepts

Solution

nλ.

Q7. In destructive interference, path difference is:

nλ
nλ/4
(2n+1)λ/2
2nλ

Difficulty: Easy-Medium · Topic: Wave Optics Concepts

Solution

(2n+1)λ/2.

Q8. In YDSE with λ=600 nm, D=1 m, d=0.5 mm, the fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d = 600×10⁻⁹×1/(0.5×10⁻³) mm.

Q9. In YDSE with λ=500 nm, D=2 m, d=1 mm, the fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d = 500×10⁻⁹×2/(1×10⁻³) mm.

Q10. In YDSE with λ=600 nm, D=1.5 m, d=0.3 mm, the fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d = 600×10⁻⁹×1.5/(0.3×10⁻³) mm.

Q11. In YDSE with λ=400 nm, D=1 m, d=0.4 mm, the fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d = 400×10⁻⁹×1/(0.4×10⁻³) mm.

Q12. In YDSE with λ=700 nm, D=2 m, d=0.7 mm, the fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d = 700×10⁻⁹×2/(0.7×10⁻³) mm.

Q13. In YDSE (λ=500 nm, D=1.0 m, d=0.5 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q14. In YDSE (λ=520 nm, D=1.5 m, d=0.6 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q15. In YDSE (λ=540 nm, D=2.0 m, d=0.7 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q16. In YDSE (λ=560 nm, D=2.5 m, d=0.8 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q17. In YDSE (λ=580 nm, D=3.0 m, d=0.9 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q18. In YDSE (λ=600 nm, D=3.5 m, d=1.0 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q19. In YDSE (λ=620 nm, D=4.0 m, d=1.1 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q20. In YDSE (λ=640 nm, D=4.5 m, d=1.2 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q21. In YDSE (λ=660 nm, D=5.0 m, d=1.3 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q22. In YDSE (λ=680 nm, D=5.5 m, d=1.4 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q23. In YDSE (λ=700 nm, D=6.0 m, d=1.5 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q24. In YDSE (λ=720 nm, D=6.5 m, d=1.6 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q25. In YDSE (λ=740 nm, D=7.0 m, d=1.7 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q26. In YDSE (λ=760 nm, D=7.5 m, d=1.8 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q27. In YDSE (λ=780 nm, D=8.0 m, d=1.9 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q28. In YDSE (λ=800 nm, D=8.5 m, d=2.0 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q29. In YDSE (λ=820 nm, D=9.0 m, d=2.1 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q30. In YDSE (λ=840 nm, D=9.5 m, d=2.2 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q31. In YDSE (λ=860 nm, D=10.0 m, d=2.3 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q32. In YDSE (λ=880 nm, D=10.5 m, d=2.4 mm), fringe width is:

Difficulty: Medium · Topic: YDSE

Solution

β = λD/d.

Q33. YDSE: λ=400nm, D=0.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.0 mm.

Q34. YDSE: λ=400nm, D=0.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.0 mm.

Q35. YDSE: λ=400nm, D=0.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.667 mm.

Q36. YDSE: λ=400nm, D=0.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.4 mm.

Q37. YDSE: λ=400nm, D=0.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.2 mm.

Q38. YDSE: λ=400nm, D=1.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=4.0 mm.

Q39. YDSE: λ=400nm, D=1.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.0 mm.

Q40. YDSE: λ=400nm, D=1.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.333 mm.

Q41. YDSE: λ=400nm, D=1.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.8 mm.

Q42. YDSE: λ=400nm, D=1.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.4 mm.

Q43. YDSE: λ=400nm, D=1.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=6.0 mm.

Q44. YDSE: λ=400nm, D=1.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=3.0 mm.

Q45. YDSE: λ=400nm, D=1.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.0 mm.

Q46. YDSE: λ=400nm, D=1.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.2 mm.

Q47. YDSE: λ=400nm, D=1.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.6 mm.

Q48. YDSE: λ=400nm, D=2.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=8.0 mm.

Q49. YDSE: λ=400nm, D=2.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=4.0 mm.

Q50. YDSE: λ=400nm, D=2.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.667 mm.

Q51. YDSE: λ=400nm, D=2.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.6 mm.

Q52. YDSE: λ=400nm, D=2.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.8 mm.

Q53. YDSE: λ=450nm, D=0.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.25 mm.

Q54. YDSE: λ=450nm, D=0.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.125 mm.

Q55. YDSE: λ=450nm, D=0.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.75 mm.

Q56. YDSE: λ=450nm, D=0.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.45 mm.

Q57. YDSE: λ=450nm, D=0.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.225 mm.

Q58. YDSE: λ=450nm, D=1.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=4.5 mm.

Q59. YDSE: λ=450nm, D=1.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.25 mm.

Q60. YDSE: λ=450nm, D=1.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.5 mm.

Q61. YDSE: λ=450nm, D=1.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.9 mm.

Q62. YDSE: λ=450nm, D=1.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.45 mm.

Q63. YDSE: λ=450nm, D=1.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=6.75 mm.

Q64. YDSE: λ=450nm, D=1.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=3.375 mm.

Q65. YDSE: λ=450nm, D=1.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.25 mm.

Q66. YDSE: λ=450nm, D=1.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.35 mm.

Q67. YDSE: λ=450nm, D=1.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.675 mm.

Q68. YDSE: λ=450nm, D=2.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=9.0 mm.

Q69. YDSE: λ=450nm, D=2.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=4.5 mm.

Q70. YDSE: λ=450nm, D=2.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=3.0 mm.

Q71. YDSE: λ=450nm, D=2.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.8 mm.

Q72. YDSE: λ=450nm, D=2.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.9 mm.

Q73. YDSE: λ=500nm, D=0.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.5 mm.

Q74. YDSE: λ=500nm, D=0.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.25 mm.

Q75. YDSE: λ=500nm, D=0.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.833 mm.

Q76. YDSE: λ=500nm, D=0.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.5 mm.

Q77. YDSE: λ=500nm, D=0.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.25 mm.

Q78. YDSE: λ=500nm, D=1.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=5.0 mm.

Q79. YDSE: λ=500nm, D=1.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.5 mm.

Q80. YDSE: λ=500nm, D=1.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.667 mm.

Q81. YDSE: λ=500nm, D=1.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.0 mm.

Q82. YDSE: λ=500nm, D=1.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.5 mm.

Q83. YDSE: λ=500nm, D=1.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=7.5 mm.

Q84. YDSE: λ=500nm, D=1.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=3.75 mm.

Q85. YDSE: λ=500nm, D=1.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.5 mm.

Q86. YDSE: λ=500nm, D=1.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.5 mm.

Q87. YDSE: λ=500nm, D=1.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.75 mm.

Q88. YDSE: λ=500nm, D=2.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=10.0 mm.

Q89. YDSE: λ=500nm, D=2.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=5.0 mm.

Q90. YDSE: λ=500nm, D=2.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=3.333 mm.

Q91. YDSE: λ=500nm, D=2.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.0 mm.

Q92. YDSE: λ=500nm, D=2.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.0 mm.

Q93. YDSE: λ=550nm, D=0.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.75 mm.

Q94. YDSE: λ=550nm, D=0.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.375 mm.

Q95. YDSE: λ=550nm, D=0.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.917 mm.

Q96. YDSE: λ=550nm, D=0.5m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.55 mm.

Q97. YDSE: λ=550nm, D=0.5m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.275 mm.

Q98. YDSE: λ=550nm, D=1.0m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=5.5 mm.

Q99. YDSE: λ=550nm, D=1.0m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.75 mm.

Q100. YDSE: λ=550nm, D=1.0m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.833 mm.

Q101. YDSE: λ=550nm, D=1.0m, d=0.5mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=1.1 mm.

Q102. YDSE: λ=550nm, D=1.0m, d=1.0mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=0.55 mm.

Q103. YDSE: λ=550nm, D=1.5m, d=0.1mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=8.25 mm.

Q104. YDSE: λ=550nm, D=1.5m, d=0.2mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=4.125 mm.

Q105. YDSE: λ=550nm, D=1.5m, d=0.3mm. Fringe width(mm):

Difficulty: Medium · Topic: YDSE

Solution

β=λD/d=2.75 mm.

Other Chapters in Physics

Ch 1: Electric Charges & Fields Ch 2: Electrostatic Potential Ch 3: Current Electricity Ch 4: Moving Charges & Magnetism Ch 5: Magnetism & Matter Ch 6: Electromagnetic Induction Ch 7: Alternating Current Ch 8: Electromagnetic Waves Ch 9: Ray Optics Ch 11: Dual Nature of Radiation Ch 12: Atoms Ch 13: Nuclei Ch 14: Semiconductor Electronics

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