Answer : Frequency stayed the same.
Explanation :
Voices of swimmers at a pool travel through the air at a speed of 400 m/s and 1600 m/s.
The wavelength changes from 2 m in the air to 8 m underwater.
We know that the relation between speed and the wavelength.
![v=\\u* \lambda](https://img.qammunity.org/2020/formulas/physics/high-school/9uljigxqoafn3i9vdpdch7nf86fot7972o.png)
![\\u=(v)/(\lambda)](https://img.qammunity.org/2020/formulas/physics/high-school/yvx7ezup2rbzl6q2wrs0dkme10oshztf6r.png)
is the frequency.
is the wavelength.
Frequency through air,
![\\u_a=(400\ m/s)/(2\ m)=200\ Hz](https://img.qammunity.org/2020/formulas/physics/high-school/lbvktflyh6ylqw968a0tiho851tn7nu8a6.png)
Frequency through water,
![\\u_w=(1600\ m/s)/(8\ m)=200\ Hz](https://img.qammunity.org/2020/formulas/physics/high-school/7efayffp16epmdpnt8us67btg3m46stqf0.png)
So, the frequency of voice of swimmers stayed the same.
Hence, the correct option is (C) " It stayed the same".