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A wire of length 2.00 m is stretched to ...

A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

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The correct Answer is:
1gm/m
L`=2m, f_0=100Hz, t=160N`
`f_0=1/(2L)sqrt((T/m))`
`rarr 100=(1/4)sqrt((160/m))`
`rarr m=1xx10^-3(kg)/m`
`rarr m=1g/m`
So, the linear mass desity is `1 (gm)/m.`
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HC VERMA-WAVE MOTION AND WAVES ON A STRING-Exercises
  1. Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 c...

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  2. If the speed of a transverse wave on a stretched string of length 1 m ...

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  3. A wire of length 2.00 m is stretched to a tension of 160 N. If the fun...

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  4. A steel wire of mass 4.0 g and length 80 cm is fixed at the two ends. ...

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  5. A piano wire weighing 6.00 g and having a length of 90.0 cm emits a fu...

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  6. A sonometer wire having a length of 1.50 m between the bridges vibrate...

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  7. The length of the wire shown in figure between the pulley is 1.5 m and...

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  8. A one-metre long stretched string having a mass of 40 g is attached to...

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  9. A wire, fixed at both ends is seen to vibrate at a resonant frequency ...

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  10. A string, fixed at both ends, vibrates in a resonant mode with a separ...

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  11. A 660 Hz tuning fork sets up vibration in a string clamped at both end...

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  12. A particular guitar wire is 30.0 cm long and vibrates at a frequency o...

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  13. A steel wire fixed at both ends has a fundamental frequency of 200 Hz....

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  14. Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Fin...

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  15. Two wires are kept tight between the same pair of supports. The tensio...

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  16. A uniform horizontal rod of length 40 cm and mass 1.2 kg is supported ...

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  17. Figure shows an aluminium wire of length 60 cm joined to a steel wire ...

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  18. A string of length L fixed at both ends vibrates in its fundamental mo...

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  19. A 2 m-long string fixed at both ends is set into vibrations in its fir...

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  20. The equation for the vibration of a string, fixed at both ends vibrati...

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