QJEEM21Ph22c5: JEE Main 2021 Physics - Class 11 JEEM21Ph22c5 Solution: A wire having a linear mass density 9.0 × 10 − 4 kg/m is…

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QJEEM21Ph22c5: JEE Main 2021 Physics - Class 11 JEEM21Ph22c5 Solution: A wire having a linear mass density 9.0 × 10 − 4 kg/m is…

A wire having a linear mass density 9.0

\times

10^{$-$ 4} kg/m is stretched between two rigid supports with a tension of 900 N. The wire resonates at a frequency of 500 Hz. The next higher frequency at which the same wire resonates is 550 Hz. The length of the wire is ____________ m.

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Accepted Answer

μ = 9.0 \times 10^{- 4} \frac{k g}{m}

T = 900 N

V = \sqrt{\frac{T}{μ}} = \sqrt{\frac{900}{9 \times 10^{- 4}}} = 1000

m/s

f₁ = 500 Hz

f = 550

\frac{n V}{2 l} = 500

.... (i)

\frac{(n + 1) V}{2 l} = 500

.... (ii)

(ii) (i)

\frac{V}{2 l} = 50

l = \frac{1000}{2 \times 50} = 10

QJEEM21Ph22c5: JEE Main 2021 Physics - Class 11 JEEM21Ph22c5 Solution: A wire having a linear mass density 9.0 × 10 − 4 kg/m is…

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