A sonometer wire of length 100cm under a tension of 10N, has a frequency of 250Hz. Keeping the length of the wire constant, the tension is adjusted to produce a new frequency of 350Hz. The new tension is
A
5.1N
B
7.1N
C
14.0N
D
19.6N
Verified Correct Answer: D.
Physical Principles & Numerical Solution
\(\frac{F_1}{F_2}\) = \(\sqrt\frac{T_1}{T_2}\)
\(\frac{250}{350}\) = \(\sqrt\frac{10}{T_2}\)
T2 = 19.6N
Source: Myschool Past Questions Archive (Record #28267)