Ray Optics and Optical Instruments


Ray Optics and Optical Instruments

  1. Wavelength of light of frequency 100 Hz  









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    Frequency (n) = 100 Hz
    ​v = n λ

    λ =
    3 × 108
    100

    [where, velocity of light (v) = 3 × 108 m/s] ​
    λ = 3 × 106 m

    Correct Option: B

    Frequency (n) = 100 Hz
    ​v = n λ

    λ =
    3 × 108
    100

    [where, velocity of light (v) = 3 × 108 m/s] ​
    λ = 3 × 106 m


  1. An air bubble in a glass slab (µ = 1.5) is 5 cm deep when viewed from one face and 2 cm deep when viewed from the opposite face. The thickness of the slab is​​









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    1.5 =
    Real depth (R1)
    Apparent depth (5 cm)

    R1 = 1.5 × 5 = 7.5 cm

    For opposite face , 1.5 =
    R2
    ⇒ R2 = 3 cm
    2

    ∴ Thickness of the slab = R1 + R2 ​​​​
    = 7.5 + 3 = 10.5 cm

    Correct Option: B

    1.5 =
    Real depth (R1)
    Apparent depth (5 cm)

    R1 = 1.5 × 5 = 7.5 cm

    For opposite face , 1.5 =
    R2
    ⇒ R2 = 3 cm
    2

    ∴ Thickness of the slab = R1 + R2 ​​​​
    = 7.5 + 3 = 10.5 cm



  1. The reddish appearance of the sun at sunrise and sunset is due to









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    It is due to scattering of light.

    Scattering ∝
    1
    λ4

    Hence the light reaches us is rich in red.

    Correct Option: B

    It is due to scattering of light.

    Scattering ∝
    1
    λ4

    Hence the light reaches us is rich in red.


  1. Two plane mirrors are inclined at 70°. A ray incident on one mirror at angle θ after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of θ is









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    From fig. 40° + θ = 90°
    ∴ θ = 90° – 40° = 50°

    Correct Option: A


    From fig. 40° + θ = 90°
    ∴ θ = 90° – 40° = 50°



  1. A person is six feet tall. How tall must a vertical mirror be if he is able to see his entire length? ​









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    To see his full image in a plane mirror a person requires a mirror of at least half of his height.

    Correct Option: A

    To see his full image in a plane mirror a person requires a mirror of at least half of his height.