The frequency range of human hearing is typically between 20 Hz and 20,000 Hz. When converted to scientific notation, the lower end of this range (20 Hz) is roughly 10 to the 1st power, the higher end of this range (20,000 Hz) is roughly 10 to the 4th power, and the midpoint of this range (10,000 Hz) is roughly 10 to the 4.5 power. So, 10 to the 12th power is beyond the range of frequencies the human ear can detect.
The decibel, or dB, is a means of expressing the gain of an active device (such as an amplifier) or the loss in a passive device (such as an attenuator or length of cable). It is simply the ratio (!) of output to input expressed in logarithmic form. The decibel was developed by the telephone company to express the gain or loss in telephone transmission systems.Sound intensity (sound energy quantity):Reference sound intensity Io = 10^−12 W/m² (Threshold of hearing)Reference sound intensity level LIo = 0 dB-SIL (Threshold of hearing level)Get sound intensity I when entering sound intensity level LI:Sound intensity I = Io×10^(LI/10) W/m² = 10^−12×10^(LI/10) W/m².Get sound intensity level LI in dB when entering sound intensity I in W/m²:Sound intensity level LI = 10×log (I / Io) dB = 10×log (I / 10^−12) dB.Sound pressure (sound field quantity):Reference sound pressure po = 20 µPa = 2×10^−5 Pa (Threshold of hearing)Reference sound pressure level Lpo = 0 dB-SPL (Threshold of hearing level)Get sound pressure p when entering sound pressure level Lp:Sound pressure p = po×10^(Lp/20) Pa or N/m² = 2×10^−5×10^(Lp/20) Pa.Get sound pressure level Lp in dB when entering sound pressure p in Pa:Sound pressure level Lp = 20×log (p / po) dB = 20×log (p / 2×10^−5) dB.
Better think of the sound pressure, when you are listening. Sound pressure moves your ears and the diaphragm of the microphones. The sound intensity is very small. The level of 50 dB is equal to 0.0000001 W/m2 acoustic intensity. Scroll down to related links and look at "Conversion of sound units (levels)".
Reference sound intensity Io = 10^−12 W/m² (Threshold of human hearing). Reference sound intensity level LIo = 0 dB-SIL (Threshold of human hearing intensity level). Sound intensity is a sound energy quantity. Our eardrums are moved by sound pressure variations. That is a sound field quantity. Reference sound pressure po = 20 µPa = 2×10^−5 Pa (Threshold of human hearing). Reference sound pressure level Lpo = 0 dB-SPL (Threshold of human sound pressure hearing level).
Decibel Scale [Apex] (: its 10 honey
The generally accepted threshold of hearing is around 0 decibels, which corresponds to the quietest sound that can be detected by the average human ear in ideal conditions. However, this can vary depending on the individual's hearing sensitivity and external factors.
A 12th to the tenth power = (1 over 12)10 = 0.0833...10 = 1.61506 * 10-11
4.08 x (10)(raised to 12th power) = 408 x (10)(raised to 10th power) and that is equal to 4080000000000
1,000,000,000,000
-1,000,000,000,000
4,096
1,000,000,000,000
One trillion.
1.38412872*10^22 or 13,841,287,200,000,000,000,000
6 multiplied by 10 to the 12th power is equal to 6 followed by 12 zeros, which can be expressed as 6,000,000,000,000. In scientific notation, this is written as ( 6 \times 10^{12} ).
10 to the negative 12th power is equal to 1 divided by 10 raised to the 12th power. This can be simplified to 1 divided by 1 followed by 12 zeros, or 0.000000000001. In scientific notation, this would be written as 1 x 10^-12.
Given: Sound intensity level LI = 150 dB. Reference sound intensity Io = 10^−12 W/m² (Threshold of hearing) Reference sound intensity level LIo = 0 dB-SIL (Threshold of hearing level) Get sound intensity I when entering sound intensity level LI = 150 dB: I = Io×10^(LI/10) in W/m² = 10^−12×10^(150/10) = 1000 W/m².
10 to the 12th power is called "ten trillion" in the short scale system, which is commonly used in English-speaking countries. In the long scale system, it is called "one billion" in countries like France and Germany. This number is written as 10,000,000,000,000 in numerical form.