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A sonometer wire under a tension of N10N produc... - WAEC Physics 1998 Question

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
correct option: 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)

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