Some radio waves of frequency of about 1.5 ×10^9 Hz was received by a radio-telescope from dist

step 1 In this question, we have given frequency f is equal to 1 .5 into 10x10 to the power 9 hertz and

Some radio waves of frequency of about 1.5 ×10^9 Hz was...

Some radio waves of frequency of about $1.5 \times 10^{9} \mathrm{~Hz}$ was received by a radio-telescope from distant star. If the speed of the waves is $3 \times 10^{5} \mathrm{~km} / \mathrm{s}$, then the wave- length of the wave will be: (a) $0.1 \mathrm{~m}$ (b) $0.6 \mathrm{~m}$ (c) $0.2 \mathrm{~m}$ (d) $0.46 \mathrm{~m}$

Some radio waves of frequency of about $1.5 \times 10^{9} \mathrm{~Hz}$ was received by a radio-telescope from distant star. If the speed of the waves is $3 \times 10^{5} \mathrm{~km} / \mathrm{s}$, then the wave- length of the wave will be:
(a) $0.1 \mathrm{~m}$
(b) $0.6 \mathrm{~m}$
(c) $0.2 \mathrm{~m}$
(d) $0.46 \mathrm{~m}$

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Key Concepts

Unit Conversion

Accurate calculations in physics require consistent units across all quantities. Converting units, such as from kilometers per second to meters per second, ensures that the wave speed equation is applied correctly to yield meaningful results.

Wavelength

Wavelength is the spatial period of a wave, representing the distance between successive points of similar phase, such as crest to crest or trough to trough. It is determined by the relationship with frequency and the speed of the wave.

Wave Speed Equation

This fundamental equation for wave propagation relates the speed of a wave to its frequency and wavelength through the formula v = f × ?. It is applicable to all types of waves, including electromagnetic waves, and allows for the determination of one quantity when the other two are known.

Frequency

Frequency refers to the number of oscillations or cycles that occur per unit time and is measured in Hertz (Hz). It is an intrinsic property of a wave that helps to determine its energy and is inversely related to the time period of each cycle.

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