A simple harmonic oscillator has an amplitude a and time period T. The time required to travel from x= \frac{a}{2}  is

  • Option 1)

    \frac{T}{6}

  • Option 2)

    \frac{T}{2}

  • Option 3)

    \frac{T}{4}

  • Option 4)

    \frac{T}{3}

 

Answers (1)
V Vakul

As we discussed in concept

Phase -

The quantity \phi = wt+\delta is called the phase . It determines the status of the particle in simple harmonic motion.

 

 

- wherein

e.g. 

x= A\sin \left ( wt +\delta \right )\rightarrow phase

 

 x=A\sin (wt+\frac{\pi }{2})

x=\frac{A}{2}

\frac{A}{2}=A\sin (wt+\frac{\pi }{2})

\frac{1}{2}=\cos wt

=>wt=\frac{\pi }{3}

\frac{2\pi }{T}t=\frac{\pi }{3}

=>t=\frac{T}{6}


Option 1)

\frac{T}{6}

Option is Correct

Option 2)

\frac{T}{2}

Option is incorrect

Option 3)

\frac{T}{4}

Option is incorrect

Option 4)

\frac{T}{3}

Option is incorrect

Preparation Products

Knockout BITSAT 2021

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout BITSAT-JEE Main 2021

An exhaustive E-learning program for the complete preparation of JEE Main and Bitsat.

₹ 27999/- ₹ 16999/-
Buy Now
Exams
Articles
Questions