Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A particle executes simple harmonic motion between and <img alt="x = +A" src="https://entrancecorner.oncodeco

A particle executes simple harmonic motion between x = -A and x = +A . If time taken by particle to go from x = 0 to \frac{A}{2} is 2 s ; then time taken by particle in going from x = \frac{A}{2} to A is

Option: 1

4 s


Option: 2

1.5 s


Option: 3

2 s


Option: 4

3 s


Answers (1)


\begin{aligned} & \cos \theta=\frac{A}{2 \times A}=\frac{1}{2}=\cos 60^{\circ} \\ & \theta=60=\frac{\pi}{3} \\ & \phi_0=30=\frac{\pi}{6} \end{aligned}
\begin{aligned} & \mathrm{0} \rightarrow \frac{\mathrm{A}}{2}, \mathrm{t}=\frac{\frac{\pi}{6}}{\frac{2 \pi}{\mathrm{T}}}=\frac{\mathrm{T}}{12}=2 \\ & \mathrm{~T}=24 \\ & \frac{\mathrm{A}}{2} \rightarrow \mathrm{A}, \mathrm{t}=\frac{\pi / 3}{2 \pi / \mathrm{T}}=\frac{\mathrm{T}}{6}=\frac{24}{6}=4 \mathrm{sec} \end{aligned}

Posted by

Sumit Saini

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026: IIT Guwahati CSE cut-off drops; BTech biosciences still least competitive
anam-khan

JEE Main 2026 session 1 exam on January 23 rescheduled for West Bengal due to Saraswati Puja
anam-khan

JEE Mains 2026: NTA to close photo verification submission facility today for non-Aadhaar applicants

Latest Question