How many times more intense is $90\,\, dB$ sound than $40\,\, dB$ sound?
Medium
Download our app for free and get started
Let $I$ represents the intensity of sound.
Loudness of sound $\quad L=10 \log _{10} \frac{I}{I_{o}}$
$\Longrightarrow L_{2}-L_{1}=10 \log _{10} \frac{I_{2}}{I_{1}}$
$90-40=10 \log _{10} \frac{I_{2}}{I_{1}}$
$5=\log _{10} \frac{I_{2}}{I_{1}} \Longrightarrow \frac{I_{2}}{I_{1}}=10^{5}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A source of sound $S$ is moving with a velocity $50m/s$ towards a stationary observer. The observer measures the frequency of the source as $1000 Hz$. What will be the apparent frequency of the source when it is moving away from the observer after crossing him .... $Hz$ $?$ The velocity of sound in the medium is $350 m/s$View Solution
- 2View SolutionWhen we hear a sound, we can identify its source from
- 3View SolutionStationary waves are formed when
- 4View SolutionThe phenomenon of sound propagation in air is
- 5The frequency of a tuning fork is $256\, Hz$. The velocity of sound in air is $344\, ms^{-1}$. The distance travelled (in $meters$) by the sound during the time in which the tunning fork complete $32$ vibrations isView Solution
- 6A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is $4.2 MHz$. The speed of sound in a tissue is $1.7 \,km-s^{-1}$. The wavelength of sound in the tissue is close toView Solution
- 7An open organ pipe of length $l$ is sounded together with another organ pipe of length $l + x$ in their fundamental tones $(x < < l)$. The beat frequency heard will be (speed of sound is $v$) :View Solution
- 8A tuning fork vibrating with a sonometer having $20\,cm$ wire produces $5$ beats per sec. The beat frequency does not change if the length of the wire is changed to $21\,cm$. The frequency of the tuning fork must be ..... $Hz$View Solution
- 9A sound source emits sound waves in a uniform medium. If energy density is $E$ and maximum speed of the particles of the medium is ${v_{\max }}.$The plot between $E$ and ${v_{\max }}$ is best represented byView Solution
- 10A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7\; km s ^{-1}$ ? The operating frequency of the scanner is $4.2 \;MHz$View Solution