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Physics For Scientists & Engineers
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Short Answer

Why a solid substance is able to transport both longitudinal waves and transverse waves, but a homogeneous fluid is able to transport only longitudinal waves?

Longitudinal waves depend on the compressibility of the fluid for their propagation. Transverse waves require a restoring force in response to shear strain., that solid can provide therefore solid substance is able to transport both longitudinal and transverse waves.

See the step by step solution

Step by Step Solution

Step 1: Definition of transverse and longitudinal wave

A transverse wave is one in which the elements of the medium move in a direction perpendicular to the direction of propagation.

A longitudinal wave is one in which the elements of the medium move in a direction parallel to the direction of propagation.

Step 2: Explanation

Longitudinal waves depend on the compressibility of the fluid for their propagation. Transverse waves require a restoring force in response to shear strain. Fluids do not have the underlying structure to supply such a force. A fluid cannot support static shear. A viscous fluid can temporarily be put under shear, but the higher its viscosity the more quickly it converts kinetic energy into internal energy. A local vibration imposed on it is strongly damped, and not a source of wave propagation.

So that solid substance is able to transport both longitudinal waves and transverse waves, but a homogeneous fluid is able to transport only longitudinal waves

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