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Chapter 20: Problem 2669

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

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

Step by step solution

01

Convert frequency to Hz

Given Frequency (f) = 1 kHz We should convert this to Hz by multiplying by 1000: f = 1 * 1000 = 1000 Hz
02

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
03

Simplify the expression

Simplify the expression: λ = (3 x 10^8) / 10^3 = 3 x 10^5 m
04

Select the correct option

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

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Most popular questions from this chapter

If the band width is \(1.6 \times 10^{12} \mathrm{~Hz}\), how many communication channels can be obtained with \(16 \mathrm{KHz}\) band width radio signal ? (A) \(10^{15}\) (B) \(10^{11}\) (C) \(10^{10}\) (D) \(10^{8}\)

The effective power radiated by an antenna varies (A) inversely as the length of antenna (B) inversely as the square of the length of the antenna (C) directly as the length of antenna (D) directly as the square of the length of the antenna

On a particular day, the maximum frequency reflected from the ionosphere is $8 \mathrm{MHz}\(. On another day it was found to increase to \)9 \mathrm{MHz}$. The ratio of the maximum electron densities of ionosphere on the two days is (A) \(\sqrt{(8 / 9)}\) (B) \((8 / 9)\) (C) \((8 / 9)^{(3 / 2)}\) (D) \((8 / 9)^{2}\)

Which range of Frequencies is Suitable for sky wave Propagation ? (A) \(1 \mathrm{KHZ}\) to \(500 \mathrm{KHZ}\) (B) \(1 \mathrm{MHZ}\) to \(2 \mathrm{MHZ}\) (C) \(2 \mathrm{MHZ}\) to \(20 \mathrm{MHZ}\) (D) Above \(30 \mathrm{MHZ}\)

Modulation is used to (A) reduce the band width used (B) separate the transmission of different areas (C) ensure that information may be transmitted to long distance (D) allow the use of practical antennas
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