A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to |
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(a) |
100 s |
(b) |
10 s |
(c) |
50 s |
(d) |
20 s |
A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to |
|||
(a) |
100 s |
(b) |
10 s |
(c) |
50 s |
(d) |
20 s |
Time for 10 oscillations = = 2 s
A = A0 e – kt
= e −2k ⇒ ln2 = 2k
10 −3 = e −kt ⇒ 3ln10 = kt
t = × 2
= 6 ×
20 s