What is the largest wavelength for maximum sound intensity?

AI Thread Summary
To determine the largest wavelength for maximum sound intensity at an observation point from two sources, the equation |d1 - d2| = n * (wavelength) is used, where n represents the order of constructive interference. For source A at distance d and source B at 3.7λ, the goal is to find the largest wavelength in terms of d. When d is given as 14.1 m and the speed of sound is 340 m/s, the frequency can be calculated using the relationship between speed, frequency, and wavelength. The discussion highlights the importance of constructive interference in achieving maximum sound intensity. Understanding these principles is crucial for solving the problem effectively.
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Homework Statement



Two sources, A and B, emit a sound of a certain wavelength. The sound emitted from both sources is detected at a point away from the sources. The sound from souce A is a distance d from the observation point, whereas the sound from source B has to travel a distance of 3.7λ. Take v to be 340 m/s.

a) What is the largest value of the wavelength, in terms of d, for the maximum sound intensity to be detected at the observation point?

b) If d = 14.1 m and the speed of sound is 340 m/s, what is the frequency of the emitted sound?

Homework Equations





The Attempt at a Solution

 
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How you have attempted at the solution?
 
I have attempted at the solution by using the equation |d1-d2|= n*(Wavelength) n=0,1,2... ,which is the equation constructive interference of waves.
However, i am not sure that i'll going to use this formula for the maximum sound intensity
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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