There is a long linear source of sound whose power is $P$ and length is $L$. At point$A$, sound level is $80$ $dB$ .Then at point $B$ sound level will be .... $dB$
Advanced
Download our app for free and get startedPlay store
$\mathrm{I}=\frac{\mathrm{P}}{2 \pi \mathrm{rL}}, \beta=10 \log \frac{\mathrm{I}}{\mathrm{I}_{0}}=10 \log \frac{\mathrm{P}}{2 \pi \mathrm{LI}_{0} \mathrm{r}}$

$\beta_{A}-\beta_{B}=10\left[\log \frac{P}{2 \pi L I_{0} r}-\log \frac{P}{2 \pi L I_{0} \cdot 10 r}\right] \,d B$

$80 \mathrm{\,dB}-\beta_{B}=10[\log 10] \mathrm{\,dB}=10 \mathrm{\,dB}$

art

Download our app
and 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

  • 1
    Two whistles $A$ and $B$ produces notes of frequencies $660 Hz$ and $596 Hz$ respectively. There is a listener at the mid-point of the line joining them. Now the whistle $B$ and the listener start moving with speed $30 m/s$ away from the whistle $A.$ If speed of sound be $330 m/s,$ how many beats will be heard by the listener
    View Solution
  • 2
    Column $I$ shows four systems, each of the same length $L$, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as $\lambda_{ f }$. Match each system with statements given in Column $II$ describing the nature and wavelength of the standing waves.
    View Solution
  • 3
    A transverse wave of frequency $500 \,Hz$ and speed $100 \,m / s$ is travelling in the positive $x$-direction on a long string. At time $t=0 \,s$, the displacements at $x=0.0 \,m$ and at $x=0.25 \,m$ are $0.0 \,m$ and $0.02 \,m$, respectively. The displacement at $x=0.2 \,m$ at $t=5 \times 10^{-4} s$ is ............ $m$
    View Solution
  • 4
    When an air column at $15\,^oC$ and a tunning fork are sounded together then $4$ beats per second are produced, the frequency of the fork is less then that of air column. When the temperature falls to $10\,^oC$ , then the beat frequency decreases by one. The frequency of the fork will be ..... $Hz$ $[V_{sound}$ at $0\,^oC = 332\,m/s]$
    View Solution
  • 5
    While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of $18\,cm$ during winter. Repeating the same experiment during summer, she measures the column length to be $x\,cm$ for the second resonance. Then
    View Solution
  • 6
    Two superimposing waves are represented by equation $y_1=2 \sin 2 \pi(10 t-0.4 x)$ and $y_2=4 \sin 2 \pi(20 t-0.8 x)$. The ratio of $I_{\max }$ to $I_{\min }$ is ........
    View Solution
  • 7
    Two travelling waves ${y_1} = A\sin [k(x - c\,t)]$ and ${y_2} = A\sin [k(x + c\,t)]$ are superimposed on string. The distance between adjacent nodes is
    View Solution
  • 8
    A firecracker exploding on the surface of a lake is heard as two sounds a time interval $t$ apart by a man on a boat close to water surface. Sound travels with a speed $u$ in water and a speed $v$ in air. The distance from the exploding firecracker to the boat is
    View Solution
  • 9
    An open pipe is in resonance in its $2^{nd}$ harmonic with tuning fork of frequency ${f_1}$. Now it is closed at one end. If the frequency of the tuning fork is increased slowly from ${f_1}$ then again a resonance is obtained with a frequency ${f_2}$. If in this case the pipe vibrates ${n^{th}}$ harmonics then
    View Solution
  • 10
    Two wires are producing fundamental notes of the same frequency. Change in which of the following factors of one wire will not produce beats between them
    View Solution