Question

To transmit \(1 \mathrm{KHz}\) frequency signal, wave length of the signal should be \(\quad \mathrm{m}\). (A) \(3 \times 10^{3}\) (B) \(3 \times 10^{5}\) (C) \(3 \times 10^{7}\) (D) \(3 \times 10^{10}\)

Short answer

The wavelength of a 1 kHz frequency signal is \(3 \times 10^{5}\) meters (Option B).

Step-by-step solution

Convert frequency to Hz

Given Frequency (f) = 1 kHz We should convert this to Hz by multiplying by 1000: f = 1 * 1000 = 1000 Hz

Calculate the wavelength

Now we'll use the formula to calculate the wavelength: Wavelength (λ) = Speed of light (c) / Frequency (f) The speed of light (c) is approximately 3 x 10^8 meters per second (m/s): λ = (3 x 10^8) / 1000

Simplify the expression

Simplify the expression: λ = (3 x 10^8) / 10^3 = 3 x 10^5 m

Select the correct option

The calculated value of the wavelength is \(3 \times 10^{5}\) m. This means the correct option is (B).