JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Self Evaluation Test - Wave Optics

  • question_answer
    A possible means for making an airplane invisible to radar is to coat the plane with an anti-reflective polymer. Radar waves have a wavelength of 3.00 cm and the index of refraction of the polymer is n=1.50. How thick would you make the coating?

    A) 1.50cm

    B) 3.00cm

    C) 0.50cm

    D) None of these

    Correct Answer: C

    Solution :

    [c] Treating the anti-reflectance coating like a camera-lens coating, one can obtain for its thickness t: \[2t=\left( m+\frac{1}{2} \right)\frac{\lambda }{n}\], \[m=0,\,\pm 1,\,\pm 2\]                     ...... (i) Condition (1) is the condition for the destructive interference for the normally incident and reflected electromagnetic wave. The minimum thickness of the coat refers to m= 0. This gives for the thickness: \[t=\frac{\lambda }{4n}=\frac{3.00}{4(1.5)}cm=0.500cm\] This anti-reflectance coating could be easily countered by changing the wavelength of the radar to L50 cm now creating maximum reflection.


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