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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

Consider an optical communication system operating at $\lambda=800 \mathrm{~nm}\(. Suppose only \)1 \%$ of the optical source frequency is the available channel bandwidth for optical communication. No. of channels that can be accommodated for transmitting video \(\mathrm{T}\). \(\mathrm{V}\) signals requiring an approximate band width of \(4.5 \mathrm{MHz}\) is (A) \(3.8 \times 10^{+14}\) (B) \(3.8 \times 10^{12}\) (C) \(8.4 \times 10^{5}\) (D) \(1.71 \times 10^{7}\)

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In the following question from statement-1 (Assertion) is followed by statement-2 (Reason) Each question has the following four choice out of which only one choice is correct (a) Statement- 1 is true, statement \(-2\) is true. Statement \(-2\) is a correct explanation for statement-1. (b) Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1. (c) Statement- 1 is true, statement \(-2\) is false (d) Statement-1 is false, statement \(-2\) is true. Statement-1 :- sky wave communication is not suitable for frequencies greater than \(30 \mathrm{MHz}\). Statement \(-2:-\) High frequency signals die out before reaching the ionosphere. (A) a (B) \(b\) (C) \(c\) (D) \(\mathrm{d}\)
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