In a single slit diffraction experiment, first minimum for &

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 Multiple Choice QuestionsMultiple Choice Questions

221.

The maximum number of possible interference maxima for slit separation equal to twice the wavelength in Young's double-slit experiment, is

  • infinite

  • five

  • three

  • zero


222.

A fish, looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12cm below the surface of water, the radius of the circle in centimeter is

  • 12 × 35

  • 12 × 3 × 5

  • 12 × 37

  • 12 × 3 × 7


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223.

In a single slit diffraction experiment, first minimum for λ1  = 660 nm coincides with first maxima for wavelength λ2  is

  • 950 nm

  • 610 nm

  • 390 nm

  • 440 nm


D.

440 nm

Position of minima in diffraction pattern is given by 

      a sin θ = nλ

For first minima of λ1 we have

      a sin θ  = (1) λ1

or      sin θ  = λ1a

The first maxima approximately lies b/w first and second maxima. For wavelength λ2  its position will be

       a sin θ2 = 32λ2    sin θ2 = 3λ22aThe two will coincide, if          θ1 = θ2  or sin θ1 = sin  θ2     λ1a = 3 λ22aor       λ2  = 23 λ1 = 23 × 660 nm = 440 nm


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224.

Two cars A and B approach a stationary observer from opposite sides as shown in the figure hears no beats. If the frequency of the horn of the car B is 504 Hz, the  frequency of horn of the car A will be

  • 529.2 Hz

  • 295.2 Hz

  • 440.5 Hz

  • 259.2 Hz


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225.

A lens of focal length 1 m forms Fraunhofer diffraction pattern of a single slit of width 0.04 cm in its focal plane. The incident light contains two wavelengths λ1 and λ2 . It is found that the fourth minimum corresponding to λand fifth minimum corresponding to λ2 occur at the same point 0.5 cm from central maximum, then λ1 and λ2 are

  • 400 nm, 500 nm

  • 500 nm, 700 nm

  • 700 nm, 500 nm

  • 500 nm, 400 nm


226.

Two coherent light beams of intensity I and 4I are  superposed. The maximum and minimum possible intensities in the resulting beam are

  • 5 I and I

  • 5 I and 3 I

  • 9 I and I

  • 9 I and 3 I


227.

If Young's double slit experiment is performed in water instead of air, then

  • no fringes would be seen

  • fringe width would decrease

  • fringe width would increase

  • fringe width would remain unchanged


228.

In Young's double-slit experiment, the angular width of fringe formed on a distance screen is 0.1°. If wavelength of light is 6000 A, then spacing between the slits is

  • 3.4 × 10-4 m

  • 4.3 × 10-4 m

  • 5.4 × 10-4 m

  • 6.3 × 10-4 m


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229.

A fish at a depth of 12 cm in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised ?

  • 9 cm

  • 12 cm

  • 3.8 cm

  • 3 cm


230.

A ray of light is incident at 50° on the middle of one of the two mirrors arranged at an angle of 60° between them. The ray then touches the second mirror, gets reflected back to the first mirror, making an angle of incidence

  • 50°

  • 60°

  • 70°

  • 80°


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