Let a0 be the initial amplitude and b be the damping constant The used formula is a=a0e−bt In Ist case : t=100T and a=3a0 ∴3a0=a0e−b(100T) ⇒e−b×100T=31In 2nd case : t=200Ta=a0e−200bT⇒a=a0(e−100bT)2⇒a=a0(31)2⇒a=9a0
When a oscillator completes 100 oscillations its amplitude reduces to 31 of the initial value. What will be its amplitude when it completes 200 oscillations?
Held on 30 Apr 2002 · Verified 9 Jul 2026.
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