What do you understand by the term mutual induction? Explain it.

Step 1: Identify the given values and the formula. The object distance is $p = 34.4 \text{ cm}$. The image is formed behind the mirror, so it is a virtual image. The image distance is $q = -5.66 \text{ cm}$. The mirror formula is given by: $\frac{1}{f} = \frac{1}{p} + \frac{1}{q}$

Step 2: Substitute the values into the mirror formula. $\frac{1}{f} = \frac{1}{34.4 cm} + \frac{1}{-5.66 cm}$ $\frac{1}{f} = \frac{1}{34.4 cm} - \frac{1}{5.66 cm}$

Step 3: Calculate the value of $\frac{1}{f}$. $\frac{1}{f} = 0.029069767 cm^{-1} - 0.176678445 cm^{-1}$ $\frac{1}{f} = -0.147608678 cm^{-1}$

Step 4: Calculate the focal length $f$. $f = \frac{1}{-0.147608678 cm^{-1}}$ $f \approx -6.77 cm$

Step 5: Determine the type of mirror. A negative focal length indicates a convex mirror.

The focal length of the mirror is $\boxed{-6.77 cm}$. The mirror is a convex mirror.