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In case of stationary waves the maximum pressure change occurs at antinode.

Velocity of longitudinal waves in a medium is its physical characteristic.

Due to propagation of longitudinal wave in air, the maximum pressure change is equal to 2p na/rv.

None of the above.

answer is B.

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Detailed Solution

When a stationary wave is established in a medium then maximum deformation of the medium is produced at nodes. Hence, maximum pressure change takes place at nodes and at antinodes, no pressure change takes place. Therefore, option (a) is wrong.v=ElasticityDensity. Since, elasticity and density both are the characteristic property of the medium, therefore, velocity of a longitudinal wave in a medium is its physical characteristic. So, option (b) is correct. Due to propagation of longitudinal wave in a medium pressure change ΔP=γPuv where u is the velocity of medium particles. Pressure change will be maximum possible when medium particles have maximum possible velocity, which is equal to aw = 2pna. ∆P = 2πnaρv . So, option (c) and therefore option (d) is also wrong.

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