Question

Three stretched strings are tied between two rigid supports
1.Find out the expression of frequency for secorld mode of vibration
2. Find out the expression for the thind mode of vibration.
3. Find the ratio of frequencies of the second and third mode of vibration.​

Answer 1

Answer:

1.If the period, or time interval, required to complete one cycle or vibration is 1/2 second, the frequency is 2 per second; if the period is 1/100 of an hour, the frequency is 100 per hour. In general, the frequency is the reciprocal of the period, or time interval; i.e., frequency = 1/period = 1/(time interval).

2.The number of vibrational normal modes can be determined for any molecule from the formula given above. For a diatomic molecule, N = 2 so the number of modes is 3×2−5=1. For a triatomic linear molecule (CO2), it is 3×3−5=4 and triatomic nonlinear molecule (H2O), it is 3×3−6=3 and so on.

3.A relative frequency is the ratio (fraction or proportion) of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes. To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 20 .