The order of magnitude of velocity of sound in solids, liquids and gases is \(-\left(\mathrm{V}_{\mathrm{s}}\right.\). velocity in solids, \(\mathrm{V}_{t}=\) velocity in liquids and \(\mathrm{V}_{\mathrm{g}}=\) velocity in gases \()\) (1) \(\mathrm{V}>\mathrm{V}_{t}>\mathrm{V}_{\mathrm{s}}\) (2) \(\mathrm{V}_{\mathrm{s}}>\mathrm{V}_{0}>\mathrm{V}_{1}\) (3) \(\mathrm{V}_{\mathrm{g}}<\mathrm{V}_{t}<\mathrm{V}_{\mathrm{s}}\) (4) \(\mathrm{V}=\mathrm{V}=\mathrm{V}_{t}\)

Sound waves travel through a medium by causing the particles of the medium to vibrate. The speed at which these particles vibrate and transmit the energy of the sound wave depends on the properties of the medium it is traveling through. In general, sound waves travel faster in solids because the particles are more tightly packed, allowing the waves to travel more quickly from one particle to another. It also travels faster in liquids compared to gases because the atoms and molecules in liquids are closer together than in gases, resulting in faster transmission of sound waves. Now, we can compare the given options with this information to find the correct order of magnitudes of the velocity of sound in different media.

(1) \(\mathrm{V}>\mathrm{V}_{t}>\mathrm{V}_{\mathrm{s}}\): This option states that the velocity in gases is greater than in liquids, which is greater than in solids. This is incorrect based on our understanding of sound wave propagation. (2) \(\mathrm{V}_{\mathrm{s}}>\mathrm{V}_{0}>\mathrm{V}_{1}\): This option seems incorrect since it uses \(0\) and \(1\) as subscripts instead of \(t\) and \(g\) for liquids and gases, so it cannot be compared reasonably. (3) \(\mathrm{V}_{\mathrm{g}}<\mathrm{V}_{t}<\mathrm{V}_{\mathrm{s}}\): This option states that the velocity in gases is lower than in liquids, which is lower than in solids. This statement is consistent with our understanding of sound wave propagation. (4) \(\mathrm{V}=\mathrm{V}=\mathrm{V}_{t}\): This option states that the velocities in solids, liquids, and gases are all equal. This contradicts our understanding of sound wave propagation, so it is incorrect.

Based on our understanding of sound wave propagation and the speed at which sound waves travel in different media, the correct order of magnitudes of the velocity of sound in different media is given by option (3) \(\mathrm{V}_{\mathrm{g}}<\mathrm{V}_{t}<\mathrm{V}_{\mathrm{s}}\).