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**[SOLVED] Help regarding standing waves**

a.The flute player is very musical and produces a pure tone of frequency f=600Hz. For the flute to be in 1st harmonic, what is d where d is the length of the flute?

b.By How much has d to be increased to increase the number of nodes by 2? (And keep the frequency the same)

c.What frequency would be necessary to obtain the first harmonic at the piston in the position calculated in previous part?

My answers are

a) d=.14291meters

b)d increased by .57167 meters

c) frequency is equal to 120 Hz

Would anyone be able to check those answers? Thank you!