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A 4.0 kg block is suspended from the cei...

A 4.0 kg block is suspended from the ceiling of an elevator through a string having a linear mass desity of `19.2xx10^-3 kgm^-1`. Find the speed (with respect to the string) with which a wave pulse can proceed on the string if the elavator accelerates up at the rate of `2.0ms^-2. Take g=10 ms^-2`.

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The correct Answer is:
A
m=19.2xx10^-3kg/m`
From the freebody diagram,
`T-4g-4a=0`
`rarr T=4(a+g)`
`=4(2+10)=48N`

` Wave speed v=sqrt((T/m))`
`=(48/(19.2xx10^3))`
`=sqrt((2.5xx10^I-3))=50m/s`
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HC VERMA-WAVE MOTION AND WAVES ON A STRING-Exercises
  1. Two blocks each having a mass of 3.2 kg are connected by a wire CD and...

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  2. In the arrangement shown in figure, the string has a mass of 4.5 g. Ho...

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  3. A 4.0 kg block is suspended from the ceiling of an elevator through a ...

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  4. A heavy ball is suspended from the ceiling of a motor car through a li...

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  5. A circular loop of string rotates about its axis on a frictionless hor...

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  6. A heavy but uniform rope of lenth L is suspended from a ceiling. (a) W...

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  7. Two long strings A and B, each having linear mass density 1.2×10−2kgm−...

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  8. A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produce...

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  9. A 200 Hz wave with amplitude 1 mm travels on a long string of linear m...

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  10. A tuning fork of frequency 440 Hz is attached to a long string of line...

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  11. Two waves, travelling in the same direction through the same region, h...

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  12. Figure shows two wave opulses at t=0 travelling on a string i opposite...

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  13. Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 c...

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

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

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

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

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

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

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

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