Question

On a radio frequency transmission line, the velocity of signals at a frequency of 125 MHz is \( 2.1 \times 10^8 \) m/sec. What is the wavelength of the signal on the line?

• A. 1.32 m
• B. 1.16 m
• C. 1.68 m
• D. 1.93 m

Hint:

Wavelength, velocity and frequency of a signal are related as \( \lambda = \frac{v}{f} \). Remember this relationship.

Answer 1

The Correct Option is C

Step 1: We are given the velocity of the signal \( v = 2.1 \times 10^8 \) m/sec and frequency \( f = 125 \times 10^6 \) Hz. We have to calculate the wavelength. Step 2: Use the formula: \[ \lambda = \frac{v}{f} = \frac{2.1 \times 10^8}{125 \times 10^6} = \frac{2.1 \times 1000}{125} = \frac{2100}{125} = 1.68 m \] Therefore, the wavelength of the signal on the line is 1.68 m.