Answer :
Answer:
B. 100Hz
Explanation:
The resonant frequencies for a fixed string is given by the formula nv/(2L).
Where n is the multiple
v is speed in m/s
The difference between any two resonant frequencies is given by v/(2L)= fn+1 – fn
fundamental frequency means n=1
i.e fn+1 – fn = 400 -300
= 100
The fundamental frequency is 100Hz
Frequency modes:
The frequency modes of a wave in a tube with both ends open is given by
[tex]f_n=\frac{nv}{2L}[/tex]
where,
n = 1, 2, 3, 4.............
v is the velocity of the wave
L is the length of the tube
Now, n = 1 gives fundamental frequency
The frequencies for n>1 are called overtones.
The difference between two successive overtones is:
[tex]f_{n+1}-f_n=\frac{v}{2L}=f[/tex]
which means the difference between two successive overtones is equal to the fundamental frequency.
So from the question we get:
[tex]f = 400-300 =100\;Hz[/tex]
is the fundamental frequency
Learn more about fundamental frequency:
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