Answer:
The optimum length of the antenna is 2.27 m
Explanation:
Given:
Broadcasting frequency [tex]f = 6.60 \times 10^{7}[/tex] Hz
From the formula of wavelength in terms of frequency,
[tex]v = f \lambda[/tex]
Where [tex]v =[/tex] speed of light [tex]= 3 \times 10^{8} \frac{m}{s}[/tex]
[tex]\lambda = \frac{v}{f}[/tex]
[tex]\lambda = \frac{3 \times 10^{8} }{6.60 \times 10^{7} }[/tex]
[tex]\lambda = 4.54[/tex] m
For finding the length of antenna,
[tex]l = \frac{\lambda}{2}[/tex]
[tex]l = \frac{4.54}{2}[/tex]
[tex]l = 2.27[/tex] m
Therefore, the optimum length of the antenna is 2.27 m
