What Is the Speed of 200Hz Sound in Air?

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The speed of sound in air is independent of frequency, meaning that both 100Hz and 200Hz sound travel at the same speed. The speed of sound is primarily determined by the temperature of the air, which is not provided in the discussion. The formula for calculating the speed of sound in air is v = (331 + 0.606Tc) m/s, where Tc is the temperature in Celsius. Therefore, the question of comparing the speeds of 100Hz and 200Hz sound does not require frequency-based calculations. Understanding that sound speed is a material property related to density and elasticity clarifies this concept.
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Homework Statement


compared to the speed of 100Hz sound the speed of 200Hz sound through air is?


Homework Equations


i thought i needed the temp of air to fiigure this question out, but the temp is not given? is this question as simple as 200/100 or no??


The Attempt at a Solution



speed of sound in air = v=(331+0.606Tc )m/s?
 
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Speed of sound is independent of the frequency. Otherwise it would be impossible to listen to an orchestra...
 
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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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