What happens to the fundamental frequency of a stretched string when the tension is quadrupled?

To decrease the fundamental frequency of a stretched string fixed at both ends one might

The fundamental frequency of a string is proportional to

How is the frequency of a stretched string related to: Its tension?

How is the frequency of a stretched string related to: Its length?

If v_(1) , v_(2) and v_(3) are the fundamental frequencies of three segments of stretched string , then the fundamental frequency of the overall string is

Fundamental frequency of a stretched sonometer wire is f_(0) . When its tension is increased by 96% and length drecreased by 35% , its fundamental frequency becomes eta_(1)f_(0) . When its tension is decreased by 36% and its length is increased by 30% , its fundamental frequency becomes eta_(2)f_(0) . Then (eta_(1))/(eta_(2)) is.

Write down the frequency of the nth harmonic of a stretched string.

Two identical violin strings, when in true and stretched with same tension , have a fundamental frequency of 440.0 H_(Z) . One of the string is retuned by adjusting its tension . When this is done, 1.5 beats per second are heard when both strings are plucked simultaneously. (a) What are the possible fundamental frequencies of the retuned string? (b) by what fractional amount was the string tension changed if it was (i) increased (ii) decreased?

If the tension in a string is increased by 21 percent, the fundamental frequency of the string changes by 15 Hz . Which of the following statements will also be correct?

If n_(1), n_(2 ) "and" n_(3) are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by