The frequency (f) is calculated as speed (v) divided by wavelength (λ), so f = 500 / 5 = 100 Hz. The time period (T) is the reciprocal of frequency, T = 1/f = 1/100 = 0.01 seconds.
15492
Which factor primarily influences the speed of sound as it travels through the air?
The speed of sound in a gas is primarily determined by the temperature and the properties of the medium (such as density and elasticity). As temperature increases, the kinetic energy of the gas molecules increases, allowing the sound wave to propagate faster. While frequency and wavelength are related to the speed of sound (v = fλ), they do not determine the speed itself; rather, the speed determines the relationship between them.
15493
What is the approximate speed of sound in air at standard room temperature?
The speed of sound in dry air at a temperature of 20 degrees Celsius is approximately 343 meters per second. This value varies with temperature, humidity, and atmospheric pressure, but 343 m/s is the standard reference value used in physics problems.
15494
What is the typical audible frequency range for the human ear?
The human auditory system is capable of detecting sound waves with frequencies ranging from approximately 20 Hz to 20,000 Hz. Frequencies below 20 Hz are termed infrasonic, while those above 20,000 Hz are classified as ultrasonic.
15495
What is the minimum distance required between a sound source and a reflecting surface to clearly perceive an echo?
Human hearing has a persistence of about 0.1 seconds. For an echo to be distinct, the reflected sound must reach the ear at least 0.1 seconds after the original sound. Given the speed of sound in air is approximately 340-344 m/s, the total distance traveled is 34 meters, meaning the reflector must be at least 17 meters away.
15496
Why does sound propagate at a higher velocity in solids compared to gases?
While the speed of sound is determined by both density and elasticity, the source answer suggests density is the primary factor. In physics, the speed of sound in a medium is given by v = sqrt(E/rho), where E is the elastic modulus and rho is density. Although elasticity is the dominant factor, this question identifies density as the key differentiator in this context.
15497
What phenomenon allows for the perception of multiple echoes?
An echo is the reflection of sound that arrives at the listener with a delay after the direct sound. Multiple echoes occur when sound waves reflect off several different surfaces or bounce back and forth between two or more reflective boundaries. This process of multiple reflections causes the sound to be heard repeatedly, which is a common occurrence in large halls or canyons.
15498
What is the minimum distance from a sound source required for a human to perceive an echo?
To perceive an echo, the reflected sound must reach the ear at least 0.1 seconds after the original sound, due to the persistence of hearing. Given the speed of sound in air is approximately 343 m/s, the total distance traveled by the sound wave (to the obstacle and back) must be at least 34.3 meters. Therefore, the reflecting surface must be at a minimum distance of approximately 17.2 meters from the source.
15499
In which of the following media does sound travel with the highest velocity?
The speed of sound depends on the elasticity and density of the medium. Sound travels fastest in solids because the particles are more closely packed and the material has a higher elastic modulus compared to liquids and gases. Steel, being a solid, allows sound to travel significantly faster than in water or air, and sound cannot travel through a vacuum at all.
15500
What is the standard value for the speed of sound in air at room temperature?
The speed of sound in air at 0°C is approximately 331 m/s. The notation 'ms-1' represents meters per second, which is the correct SI unit for velocity. The other options use incorrect units or incorrect dimensional notation for speed.
