what is meant by sharpness of resonance?
the sharpness of resonance or Q-factor of a series resonant is defined as the ratio of the resonant frequency to the difference in 2 frequencies taken on both sides of the resonant such tht at each frequeny the current amplitude beomes (1/ root 2) times the value at resonant frequency
In physics and engineering the quality factor or Q factor is a dimensionless parameter that describes how under-damped an oscillator or resonator is, and characterizes a resonator's bandwidth relative to its center frequency.
Sharpness of resonance is defined by the Q factor, which is related to how quickly the energy of the oscillating system decays.
The determinants of the sharpness in resonance depends on the system involved. Lots of physical systems undergo resonance peaks, in the case of inhomogenously broadened optical oscillators (lasers) for example, the sharpness depends on the losses in the cavity, the gain medium, the shape and reflectivity of the mirrors and the length of the cavity.
Resonance peaks can be described mathematically using Gaussian, Lorentzian or a combination between the two (convolution) called a Voight profile. All these mathematicals functions have 2 important parameters, the maximum value and the Full width-Half maximum (The width of the curve at 1/2 the maximum value.) The ratio of these two parameters gives the Q values. Tall skinny peaks have a high Q, flat broad peaks have a low Q.
Hope, it helps!