A string vibrates with a frequency of 200Hz. Its length iss doubled and its tension is altered till it begins to vibrate with a frequency of 300Hz. What is the ratio of new tension to the original tension ?

Explanation

Here,`200=(1)/(2l)sqrt((T_(1))/(m))` and ` 300=(1)/(2(2l))sqrt((T_(2))/(m))`
Divide `(T_(2))/(4T_(1))=((300)/(200))^(2)=(9)/(4) or (T_(2))/(T_(1))=(9)/(1)`