Answer:
Percentage increase in the fundamental frequency is
d)-14.02%
Explanation:
As we know that fundamental frequency of the wave in string is given as
[tex]f_o = \frac{1}{2L}\sqrt{\frac{T}{\mu}}[/tex]
now it is given that tension is increased by 30%
so here we will have
[tex]T' = T(1 + 0.30)[/tex]
[tex]T' = 1.30T[/tex]
now new value of fundamental frequency is given as
[tex]f_o' = \frac{1}{2L}\sqrt{\frac{1.30T}{\mu}}[/tex]
now we have
[tex]f_o' = \sqrt{1.3}f_o[/tex]
so here percentage change in the fundamental frequency is given as
[tex]change = \frac{f_o' - f_o}{f_o} \times 100[/tex]
% change = 14.02%
