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?

1.5 m

Explanation:

given,

wavelength of of the standing waves

λ₁ = 2 m

λ₂ = 1.5 m

to  find wavelength corresponding to higher mode.

we know,

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

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