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Q.

A stretched wire vibrates with a frequency of 80Hz when the tension is T₁ and with a frequency of 150 Hz when the tension is T₂ , when the tension is (T₁ + T₂) its frequency of vibration (in Hz)

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a

240

b

230

c

170

d

210

answer is A.

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Detailed Solution

$\begin{array}{l} f α \sqrt{T} \\ f^{2} = k T \\ T = T_{1} + T_{2} \\ f^{2} = f_{1}^{2} + f_{2}^{2} \\ f = \sqrt{f_{1}^{2} + f_{2}^{2}} \end{array}$

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