NEET 2008
- Exam
- NEET
- Year
- 2008
- Subject
- Physics
- Chapter
- Oscillations
NEET 2008 · Physics · Oscillations
A point performs simple harmonic oscillation of period T and the...
A point performs simple harmonic oscillation of period and the equation of motion is given by . After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
\begin{aligned}
& v=\omega \cos \left(\omega t+\frac{\pi}{6}\right) \\
& \Rightarrow \quad \frac{\omega a}{2}=\omega \cos \left(\frac{2 \pi}{T} t+\frac{\pi}{6}\right) \\
& \Rightarrow \quad \frac{\pi}{3}=\frac{2 \pi}{T} t+\frac{\pi}{6} \\
& \Rightarrow t=\frac{T}{12}
\end{aligned}