A string under tension $$i oscillates in the third harmonic at frequency f$3,$ and the waves on the string have wavelength $3.$ If the tension is increased to $$f $=2$i and the string is again made to oscillate in the third harmonic, what then are the following values?

$$

$($a$)$ the frequency of oscillation in terms of f$3$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$($b$)$ the wavelength of the waves in terms of $3$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$

$$