Verified Solution • 2025–26 Session moderate

QJEEAdv23Pha540: JEE Advanced 2023 Physics - Class 11 JEEAdv23Pha540 Solution: A string of length and mass is under tension . When the string…

A string of length 1 m1 \mathrm{~m} and mass 2×10−5 kg2 \times 10^{-5} \mathrm{~kg} is under tension TT . When the string vibrates, two successive harmonics are found to occur at frequencies 750 Hz750 \mathrm{~Hz} and 1000 Hz1000 \mathrm{~Hz} . The value of tension TT is ________ Newton.

Step-by-Step Verified Solution

I=1 m,m=2×10−5 kg,I=1 \mathrm{~m}, m=2 \times 10^{-5} \mathrm{~kg},

T : Tension in the string.

∵\because Successive frequencies are being given

∴\therefore It is the case of both ends fixed.

Now,

fn+1−fn=1000−750⇒(n+1)2lTμ−n2lTμ=250⇒12lTμ=250

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