Question

The speed of longitudinal wave is given by $v=\sqrt{\frac{E}{\rho }}$ where $\rho$ is the density of the medium. Match the following columns for the quantities represented by $E$ in different media.
$\begin{array}{cccc}& \text{Column I}& & \text{Column II}\\ \text{(A)}& \text{Solid}& \text{(p)}& \text{Bulk modulus}\\ \text{(B)}& \text{Liquid}& \text{(q)}& \text{Shear modulus}\\ \text{(C)}& \text{Gas}& \text{(r)}& \text{Young's modulus}\end{array}$

• A. $A\to p,B\to q,C\to r$
• B. $A\to r,B\to q,C\to p$
• C. $A\to r,B\to p,C\to q$
• D. $A\to q,B\to r,C\to p$

Answer 1

The correct option is B $A\to r,B\to q,C\to p$

The speed of a longitudinal wave is given by, $v=\sqrt{\frac{E}{\rho }}$
For different mediums, $E$ represents different quantities.

For solid medium, $E$ represents Young's modulus.

For liquid medium, $E$ represents Shear modulus.

For gas medium, $E$ represents Bulk modulus.