4.6 - More about Stationary waves on strings

Question 1

when is the first harmonic pattern of vibration seen

Answer 1

at the lowest possible frequency that gives this pattern

Question 2

what are the wavelengths of the waves that form this first harmonic

Answer 2

lambda = 2L

therefore frequency = c/2L

Question 3

what are the wavelengths of waves that form the second harmonic

Answer 3

lambda = L because each loop has half the wavelength as the first harmonic

f2= c/L = 2f1

Question 4

what are the wavelengths that form from the third harmonic

Answer 4

the wavelength is a fire of the distance
therefore lambda =2/3 L

f3=3c/2L = 3f1

Question 5

how stationary waves are formed on a vibrating string

Question 6

what is the time taken for the wave to travel along the string and back equal to

Answer 6

the time taken for a whole number of cycles of the vibrator

Question 7

the time taken for a wave to travel along the string and back

Answer 7

2L/c

Question 8

the time taken for the vibrator to pass through a whole number of cycles

Answer 8

m/f

m is whole number
f is frequency of the cycles

Question 9

what does 2l/c =

Answer 9

m/f

Question 10

length of the vibrating section on a string =

Answer 10

m lambda /2

Question 11

what does the pitch of a note correspond to

Answer 11

its frequency

Question 12

high pitch =

Answer 12

high frequency

Question 13

low pitch =

Answer 13

low frequency

Question 14

low amplitude =

Answer 14

quiet

Question 15

high amplitude =

Answer 15

loud

Question 16

how can the pitch of a note from a stretched string be altered

Answer 16

by changing the tension of the string by altering is length

Question 17

what does raising the tension or shortening then length do

Answer 17

increases the pitch

Question 18

what does lowering the tensions and increase do

Answer 18

lowers the pitch

Question 19

what does a sound from a vibrating string include

Answer 19

all the harmonic frequencies

Question 20

what does the sound from a tuning fork include

Answer 20

vibrates only at a single frequency

Question 21

when is a wire tuned

Answer 21

when its first harmonic frequency is the same as the tuning fork frequency

Question 22

what does the first harmonic frequency depend on

Answer 22

the tension in the wire and its mass per unit length

f=1/2l*rootT/u

u= mass per unit length