The above figure exhibit the response of the band pass filter. fL = Lower cut off frequency = 100 HzfH = Higher cut off frequency = 10K HzGain at the fH  is 15 dBWhat will be the Q factor of the filter?999.91811

The Q factor of a bandpass filter is calculated using the formula:

Q = f0 / (fH - fL)

where: f0 is the resonant frequency, fH is the higher cut-off frequency, and fL is the lower cut-off frequency.

However, in this case, we don't have the resonant frequency (f0) given. The resonant frequency is the frequency at which the filter has maximum output. Without this information, we cannot calculate the Q factor.

If we assume that the resonant frequency is the geometric mean of the cut-off frequencies (which is a common assumption), then we can calculate f0 as follows:

f0 = sqrt(fH * fL)

Substituting the given values:

f0 = sqrt(10,000 Hz * 100 Hz) = 1,000 Hz

Then we can calculate the Q factor:

Q = 1,000 Hz / (10,000 Hz - 100 Hz) = 0.10526

However, this is a very rough estimate and the actual Q factor could be different depending on the specific characteristics of the filter.