The amplitude of damped oscillation with time t and damping constant b is given by,
A=A0e−bt/2m
⇒ln(AA0)=2mbt
⇒ln2=2mb×120; here t=2min=120s
⇒1200.693×2×1=b
⇒b=1.16×10−2kgs−1.
A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm.…
JEE Main 2021 — Physics Waves & Oscillations
2021mcqmedium
A block of mass 1kg attached to a spring is made to oscillate with an initial amplitude of 12cm. After 2 minutes the amplitude decreases to 6cm. Determine the value of the damping constant for this motion. (take ln2=0.693 )
Official previous-year question
Held on 17 Mar 2021 · Verified 6 Jul 2026.
Options
- A
1.16×10−2kgs−1
- B
3.3×102kgs−1
- C
1.16×102kgs−1
- D
5.7×10−3kgs−1
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