Radiowaves received by a radio telescope from distant...

Radiowaves received by a radio telescope from distant aparts, may have a wavelength of about $0.20 \mathrm{~m}$. If the speed of the wave is $3 \times 10^{\mathrm{m}} \mathrm{ms}^{-1}$, then frequency of the wave will be (a) $1.5 \times 10^{9} \mathrm{~Hz}$ (b) $1.5 \times 10^{8} \mathrm{~Hz}$ (c) $1.5 \times 10^{3} \mathrm{~Hz}$ (d) $135 \mathrm{~Hz}$

Radiowaves received by a radio telescope from distant aparts, may have a wavelength of about $0.20 \mathrm{~m}$. If the speed of the wave is $3 \times 10^{\mathrm{m}} \mathrm{ms}^{-1}$, then frequency of the wave will be
(a) $1.5 \times 10^{9} \mathrm{~Hz}$
(b) $1.5 \times 10^{8} \mathrm{~Hz}$
(c) $1.5 \times 10^{3} \mathrm{~Hz}$
(d) $135 \mathrm{~Hz}$

Key Concepts

Wave Equation (f = v/?)

The relationship between frequency (f), speed (v), and wavelength (?) is expressed by the equation f = v/?. This equation allows the calculation of any one of these variables if the other two are known, and it is fundamental in the study of wave phenomena across various contexts, including radio astronomy and other fields of physics.

Speed of Light

The speed of light is the constant velocity at which electromagnetic waves propagate through a vacuum, approximately 3 x 10^8 meters per second. This universal constant is crucial for calculations involving electromagnetic wave properties and is often used in equations relating the wave's speed, wavelength, and frequency.

Electromagnetic Waves

Electromagnetic waves are energy waves that travel at the speed of light and consist of oscillating electric and magnetic fields. They encompass a broad range of wavelengths and frequencies, which include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.

Wavelength

Wavelength is the distance between consecutive crests (or troughs) of a wave. It is a key parameter that characterizes waves and determines their position within the electromagnetic spectrum. In wave phenomena, wavelength, along with frequency and speed, helps define the energy and behavior of the wave.

Frequency

Frequency measures how many wave cycles pass a fixed point per unit time and is expressed in Hertz (Hz). It is inversely proportional to wavelength such that as the wavelength decreases, the frequency increases, assuming the speed of the wave remains constant.

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