Q. With the propagation of a longitudinal wave through a material medium, the quantities transmitted in the propagation direction are

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Solution:

There are two modes of transfer of energy, that is wave nature and particle nature, in wave nature only energy is transmitted from one place to other, but in particle nature, energy along with mass is also being transferred from one place to others.
Longitudinal wave is a type of wave having vibrational axis along the longitudinal axis
So with the propagation of a longitudinal wave. Energy alone is propagated.