what do you mean by sharpness of resonance?
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Frequency response is a measure of the amplitude of an oscillation as a function of 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.
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.
sayeed1:
for 1 mark so much.. can u say in short for 1 mark
no
its ok.. can i ask u one more question but u have to ans for 1 mark
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show that in forced vibrations the response R is inversely proportional to the frictional force? marks 6
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Sharpness of resonance is defined as the rate of decaying of an oscillating wave.
Explanation:
Sharpness of resonance depends upon Q factor of an oscillating wave which shows that how fast the oscillating wave deplete with respect to time.
There are basically two factors on which sharpness of resonance depends.
- Amplitude
- Damping
Amplitude is the height of a wave which is in uniform motion. More is the amplitude less is the sharpness of the resonance and vice-versa.
Damping is the reduction of amplitude of the wave with time. It is may be natural or artificial. Increase in damping leads to increase in sharpness of resonance and vice-versa.
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