An organ pipe is open at both ends. It is producing sound at its n = 3 harmonic, the frequency of which is 392 Hz. Take the speed of sound to be 344 m/s. What is the length of the pipe?

Explanation:

Formula for the organ pipe of length L which is open at both the ends. So, its third harmonic frequency will be given as follows.

where,    v = speed of the sound = 344 m/s

            = 392 Hz

Hence, putting the given values into the above formula as follows.

            L =

               =

               =

               = 1.316 m

Thus, we can conclude that the length of the pipe is 1.316 m.

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y