A sonometer wire under a tension of N10N, produces a frequency of 250Hz when plucked. Keeping the length of the wire constant, the tension is adjusted to produce a new frequency of 350Hz. Calculate the new tension

A.

39.2N

B.

19.6N

C.

14.2N

D.

7.4N

E.

5.1N

Correct answer is B

f \(\alpha\) \(\sqrt{T}\)

\(\frac{f_1}{f_2} = \sqrt{\frac{T_1}{T_2}}\)

\(\frac{250}{350} = \sqrt{\frac{10}{T_2}}\)

\(\frac{5}{7} = \sqrt{\frac{10}{T_2}}\)

\(\frac{25}{49} = \frac{10}{T_2}\)

T2 = \(\frac{49 \times 10}{25} = 19.6\)