ANSWERS: 4

Hertz is per second. Speed is meters per second. Therefore if you divide the speed by the frequency you will get the wavelength in meters. For example...' Velocity = 100m/s Frequency = 100/s Wavelength = 100/100 = 1 meter

I like http://www.onlineconversion.com/ for most things, but I'm not sure if your question can be answered as it is. Frequency is not directly convertable to distance, but is instead a measure of occurance per period of time. Soundwaes travel at the speed of sound. In dry air, at a temperature of 21 °C (70 °F) the speed of sound is 344 m/s (1238 km/h, or 769 mph, or 1128 ft/s). This is dependent on the medium that the soundwaves are traveling through.

To convert frequency to wavelength, you have to know the speed of sound, which is (under typical conditions) 344 m/s = 1238 km/h = 769 mph = 1128 ft/s. Since wavelength = speed/frequency, a sound of 344 Hz. has a wavelength of one meter. At 1000 Hz. the wavelength is 34.4 centimeters  a little over a foot. But when you speak of gamma rays and light waves, you're talking about *electromagnetic radiation* whose speed is the speed of light = 300,000,000 m/s = 186,000 miles/sec = about one foot per nanosecond. The visible spectrum of light runs from roughly 400 (violet) to 700 (red) nanometers. At 400 nm, frequency = speed/wavelength = (3*10^8)/(4*10^7) = 7.5*10^14 = 750*10^12 = 750 terahertz  750 trillion cycles per second. Gamma rays have much higher frequencies, though in that range they are usually described and measured in terms of photon energy (in ElectronVolts) rather than frequency or wavelength.

1) Look at this: Solving for frequency: frequency = velocity / wavelength http://www.ajdesigner.com/phpsound/sound_wave_equation_length_frequency.php Solving for Velocity velocity = frequency x wavelength http://www.ajdesigner.com/phpsound/sound_wave_equation_length_velocity.php Solving for Wavelength: Wavelength = velocity / frequency http://www.ajdesigner.com/phpsound/sound_wave_equation_length_wavelength.php 2) speed (velocity) of sound: "Sound is a vibration that travels through an elastic medium as a wave. The speed of sound describes how much distance such a wave travels in a given amount of time. In dry air, at a temperature of 21 °C (70 °F) the speed of sound is 344 m/s (1238 km/h, or 769 mph, or 1128 ft/s). Although the term is commonly used to refer specifically to air, the speed of sound can be measured in virtually any material. The speed of sound in liquids and solids is much higher than that in air." Source and further information: http://en.wikipedia.org/wiki/Sound_speed 3) Speed of light: "The speed of light in vacuum is an important physical constant denoted by the letter c for constant or the Latin word celeritas meaning "swiftness".[1] It is the speed of all electromagnetic radiation, including visible light, in a vacuum. More generally, it is the speed of anything having zero rest mass." "In metric units, c is exactly 299,792,458 metres per second (1,079,252,848.8 km/h).[2] The fundamental SI unit of length, the metre, has been defined since October 21, 1983, as the distance light travels in a vacuum in 1/299,792,458 of a second; any increase in the precision of the measurement of the speed of light would refine the definition of the metre, but not alter the numerical value of c. The approximate value of 3×108 m/s is commonly used in rough estimates. In imperial units, the speed of light is about 670,616,629.2 miles per hour or 983,571,056 feet per second, which is about 186,282.397 miles per second, or roughly one foot per nanosecond. The speed of light when it passes through a transparent or translucent material medium, like glass or air, is slower than its speed in a vacuum. The ratio of c to the observed phase velocity is called the refractive index of the medium. General relativity explains how a gravitational potential can affect the apparent speed of distant light in a vacuum, but locally light in a vacuum always passes an observer at a rate of c." Source and further information: http://en.wikipedia.org/wiki/Speed_of_light
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