Answer : The correct option is, (A) [tex]7.06\times 10^{10}Pa[/tex]
Explanation :
The formula used for speed of sound wave is:
[tex]v=\sqrt{\frac{B}{\rho}}[/tex]
where,
v = speed of sound wave = [tex]4.1\times 10^3m/s[/tex]
[tex]\rho[/tex] = density of medium = [tex]4.2\times 10^3kg/m^3[/tex]
B = bulk modulus = ?
As the formula is,
[tex]v=\sqrt{\frac{B}{\rho}}[/tex]
Squaring on both the sides, we get:
[tex]B=v^2\times \rho[/tex]
Now put all the given values in the above formula, we get:
[tex]B=(4.1\times 10^3m/s)^2\times (4.2\times 10^3kg/m^3)[/tex]
[tex]B=7.06\times 10^{10}Pa[/tex]
Therefore, the bulk modulus of the medium is [tex]7.06\times 10^{10}Pa[/tex]
