Transverse waves can propagate through a solid

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Hey my friends please solve my problem
Both longitudinal and transverse waves can propagate through a solid. A wave on the surface of a liquid can involve both longitudinal and transverse motion of elements of the medium. On the other hand, a wave propagating through the volume of a fluid must be purely longitudinal, not transverse. Why?
 

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Consider differences in structure between liquids and solids.
 
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Consider also that wave motion can be thought of as many coupled harmonic oscillators, that is, like lots of springs .... which restore each point to an equilibrium position. What are the restoring forces in each case you asked about?
 
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Hey my friends please solve my problem
Both longitudinal and transverse waves can propagate through a solid. A wave on the surface of a liquid can involve both longitudinal and transverse motion of elements of the medium. On the other hand, a wave propagating through the volume of a fluid must be purely longitudinal, not transverse. Why?
volume of fluid has only bulk modulus of elasticity not the modulus of rigidity,so the londitudinal waves can travel ,(transverse wave cannot propapagate without modulus of rigidity.)
 
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