A Clarinet,which Is Essentially a Tube That Is Open at One

Multiple Choice

A clarinet,which is essentially a tube that is open at one end,is properly tuned to concert A (440 Hz) indoors,where the temperature is 20ºC and the speed of sound is 340 m/s.The musician then takes the instrument to play an outdoor concert,where the temperature is 0ºC and the speed of sound is 331 m/s.What is the frequency of the A played on the cold clarinet? (Ignore any thermal changes in the body of the clarinet itself.)

A) 417 Hz
B) 428 Hz
C) 434 Hz
D) 445 Hz
E) 451 Hz