Question

What should be the length of a half-wave dipole antenna for a carrier wave having frequency $3\times {10}^8$ Hz?

• (A) 0.5 m
• (B) 5 m
• (C) 1 m
• (D) 0.1 m

Answer 1

The Correct Option is A

Explanation:
Given:Frequency of the carrier wave $=3\times {10}^8$ HzWe have to find the length of a half-wave dipole antenna.Let $L$ be the length of the half-wave dipole antenna. Then$L=\frac{\lambda }{2}$$\Rightarrow L=\frac{c}{2\nu }$ Using $[c=\nu \lambda$$]$$\Rightarrow L=\frac{3\times {10}^8}{2\times 3\times {10}^8}=0.5$ mHence, the correct option is (A).