Longitudinal waves are waves where the displacement of the medium is in the same direction as, or the opposite direction to, the direction of propagation of the wave. These waves require a medium with non-zero bulk modulus, which represents the resistance to compression.
Transverse waves are waves where the displacement of the medium is at right angles to the direction of propagation of the wave.
These waves require a medium with a non-zero shear modulus, which represents resistance to deformation by shearing.
To propagate both longitudinal and transverse waves, a material must have both bulk and shear moduli.
Solids typically possess both, while fluids (liquids and gases) only have a bulk modulus.
The correct answer is (D) Bulk and shear moduli.
A sub-atomic particle of mass \( 10^{-30} \) kg is moving with a velocity of \( 2.21 \times 10^6 \) m/s. Under the matter wave consideration, the particle will behave closely like (h = \( 6.63 \times 10^{-34} \) J.s)