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With what force must a wire of radius 1 mm be stretched so that the velocity of transverse wavesalong it may be the same as that of longitudinal wave ? Give answer in kg wt.(young's modulus of material of wire `2xx10^(11)Nm^(-2)` .It it physically possible ?
hint : `C_("longi")=sqrt(Y//D),C_("trans")=sqrt(T//m)`

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The correct Answer is:
`6.4xx10^(4)` kg, impossible
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NN GHOSH-VIBRATIONS OF STRING-EXERCISE
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  2. A vibrator makes 150 cm of a arting vibrate in 6 loops in the longitud...

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  3. A string in Melde's experiment in the transverse arrangement vibrates...

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  4. A bridges is placed under the string the of a monochord at a point ne...

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  6. With what force must a wire of radius 1 mm be stretched so that the ve...

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  7. If n(1), n(2 ) "and" n(3) are the fundamental frequencies of three seg...

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  9. An aluminium wire of length 0.6 m and cross sectioal are and length 0....

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  10. Two wires of radii r and 2 r are welded together end to end . The comb...

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  11. A string 120 cm in length sustains a standing wave, with the points of...

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  12. A srting of length l hangs freely from a rigid support under its own ...

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  13. A string tensioned by 4.5kg resonates at two consecutive frequencies 4...

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  14. A string of length l and mass m is fixed at both ends with tension t a...

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  15. A non-uniform wire of length l and mass M has a variable linear mass d...

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  16. A uniform circular hoop of string is rotating clockwise in the absence...

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  17. One end of a string of length 120 cm is tied to a peg and other is att...

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  18. A wire of length l is kept just taut horizontally between two walls.A ...

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  19. A wire of length 1 m is clamped between two support 1.01 m apart It vi...

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  20. the linear density of a wire under tension t varies linearly from mu(1...

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