JEE Main & Advanced JEE Main Paper (Held On 9 April 2017)

  • question_answer
    A signal is to be transmitted through a wave of wavelength \[\lambda ,\] using a linear antenna. The length l of the antenna and effective power radiated \[{{P}_{eff}}\] will be given respectively as - (K is a constant of proportionality) [JEE Online 09-04-2017]

    A)  \[\frac{\lambda }{8},\,{{P}_{eff}}\,=K\left( \frac{l}{\lambda } \right)\]  

    B)  \[\frac{\lambda }{16},\,{{P}_{eff}}\,=K{{\left( \frac{1}{\lambda } \right)}^{3}}\]

    C)  \[\frac{\lambda }{5},\,{{P}_{eff}}\,=K{{\left( \frac{1}{\lambda } \right)}^{\frac{1}{2}}}\]

    D)  \[\lambda ,\,\,{{P}_{eff}}\,=K\,{{\left( \frac{1}{\lambda } \right)}^{2}}\]

    Correct Answer: D

    Solution :

     Length of antenna = comparable to \[\lambda \] Power \[P=\mu {{\left( \frac{1}{\lambda } \right)}^{2}}\] here \[\mu =K\]


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