Question

1. Suppose you have a pipe producing standing sound waves. Two adjacent harmonics of standing waves (i.e., no standing waves in between these) have wavelengths 2.000 meters and 1.500 meters.

Which wavelength corresponds to a higher mode?

Answer 1

1.5 m

Step-by-step explanation:

given,

wavelength of of the standing waves

λ₁ = 2 m

λ₂ = 1.5 m

to find wavelength corresponding to higher mode.

we know,

`wavelength\ \alpha\ (1)/(n)`

where n is the mode number.

From the above expression we can say that wavelength is inversely proportional to mode.

Hence , the wavelength corresponding to higher mode is equal to 1.5 m