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To increase the frequency by 20%, the tension in the string vibrating on a sonometer has to be increased by

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22%

33%

11%

44%

answer is A.

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Detailed Solution

$n α \sqrt{T} \frac{n_{1}}{n_{2}} = \sqrt{\frac{T_{1}}{T_{2}}} \frac{1}{1.2} = \sqrt{\frac{T_{1}}{T_{2}}} T_{2} = \frac{36}{25} T_{1} T_{2} = T_{1} + \frac{x}{100} T_{1} \frac{36}{25} \frac{T}{1} = \frac{T}{1} (1 + \frac{λ}{100}) π = 44 %$

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