The faintest sound, the human ear can detect at a frequency of 1 kHz (for which ear is most sensitive) corresponds to an intensity of about ${10}^{-12}\mathrm{w}/{\mathrm{m}}^2$. Assuming the density of air = 1.5 $\mathrm{kg}/{\mathrm{m}}^3$ and velocity of sound in air $\cong$ 300 m/s, the pressure amplitude and displacement amplitude of the sound will be respectively  ___$\mathrm{N}/{\mathrm{m}}^2$ and $\mathrm{\_\_}$ m.

• A

  $3\times {10}^{-5}\mathrm{Pa}, \frac{1}{3\mathrm{\pi }}\times {10}^{-10}\mathrm{m}$

• B

  $2\times {10}^{-5} \mathrm{Pa}, \frac{2}{3\mathrm{\pi }}\times {10}^{-10}\mathrm{m}$

• C

  $5\times {10}^{-5} \mathrm{Pa}, \frac{1}{\mathrm{\pi }}\times {10}^{-10}\mathrm{m}$

• D

  $5\times {10}^{-5} \mathrm{Pa}, \frac{4}{3\mathrm{\pi }}\times {10}^{-10}\mathrm{m}$