The figure shows a schematic diagram of the arrangement of Young's Double Slit Experiment. Choose the correct statement$(s)$ related to the wavelength of light used.

  • A
    Larger the wavelength of light,larger the fringe width.
  • B
    The central maxima of all the wavelengths coincide.
  • C
    If white light is used in $YDSE$,then the violet colour forms its first maxima closest to the central maxima.
  • D
    All of the above.

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Column $I$ shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits $S_1$ and $S_2$. In each of these cases $S_1 P_0 = S_2 P_0$,$S_1 P_1 - S_2 P_1 = \lambda / 4$ and $S_1 P_2 - S_2 P_2 = \lambda / 3$,where $\lambda$ is the wavelength of the light used. In the cases $B, C$ and $D$,a transparent sheet of refractive index $\mu$ and thickness $t$ is pasted on slit $S_2$. The thicknesses of the sheets are different in different cases. The phase difference between the light waves reaching a point $P$ on the screen from the two slits is denoted by $\delta(P)$ and the intensity by $I(P)$. Match each situation given in Column $I$ with the statement$(s)$ in Column $II$ valid for that situation.
Column $I$Column $II$
$(A)$ No sheet$(p)$ $\delta(P_0) = 0$
$(B)$ $(\mu-1)t = \lambda / 4$$(q)$ $\delta(P_1) = 0$
$(C)$ $(\mu-1)t = \lambda / 2$$(r)$ $I(P_1) = 0$
$(D)$ $(\mu-1)t = 3\lambda / 4$$(s)$ $I(P_0) > I(P_1)$
$(t)$ $I(P_2) > I(P_1)$

Compare and contrast the interference and diffraction.

Answer the following questions:
$(a)$ When a low flying aircraft passes overhead,we sometimes notice a slight shaking of the picture on our $TV$ screen. Suggest a possible explanation.
$(b)$ As you have learnt in the text,the principle of linear superposition of wave displacement is basic to understanding intensity distributions in diffraction and interference patterns. What is the justification of this principle?

$A$ source emits light of wavelengths $4700 \ \mathring{A}$,$5400 \ \mathring{A}$,and $6500 \ \mathring{A}$. The light passes through red glass before being tested by a spectrometer. Which wavelength is seen in the spectrum?

Statement $(S)$: Using Huygen's eye-piece,measurements can be taken but are not correct.
Reason $(R)$: The cross wires,scale,and final image are not magnified proportionately because the image of the object is magnified by two lenses,whereas the cross-wire scale is magnified by one lens only.
Identify the correct option from the following:

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