NEET-XII-Physics

17: Light Waves

with Solutions - page 8
Qstn# iv-39 Prvs-QstnNext-Qstn
  • #39
    Plane microwaves are incident on a long slit of width 5.0 cm. Calculate the wavelength of the microwaves if the first diffraction minimum is formed at θ = 30°.
    Ans : Given:
    Width of the slit, b = 5.0 cm
    First diffraction minimum is formed at θ = 30°.
    For the diffraction minima, we have:
    bsinθ = nλ
    For the first minima, we put n = 1.
    `` 5\times \,\mathrm{\,sin\,}30°=1\times \,\mathrm{\,\lambda \,}``
    `` \Rightarrow \lambda =\frac{5}{2}=2.5\,\mathrm{\,cm\,}``
    Therefore, the wavelength of the microwaves is 2.5 cm.
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