A particle executes simple harmonic motion berween x=- A and x=+ A. If time taken by particle to go from x=0 to (A/2) is 2 s; then time taken by particle in going from x=(A/2) to A is

Question

A particle executes simple harmonic motion berween x=- A and x=+ A. If time taken by particle to go from x=0 to (A/2) is 2 s; then time taken by particle in going from x=(A/2) to A is (A) 1.5S (B) 3s (C) 4s (D) 2s

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/edd1efce38cbe53ffa69bb28ff20023f-.png" /> Let time from 0 to A / 2 is t 1 from A / 2 to A is t 2 then ω t 1=π / 6 ω t 2=π / 3 ( t 1/ t 2)=(1/2) t 2=2 t 1=2 × 2=4 sec

Q. A particle executes simple harmonic motion berween $x = - A$ 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

1.5S

3s

4s

2s

Let time from 0 to $A /2$ is $t_{1}$
$&$ from $A /2$ to $A$ is $t_{2}$
then $ω t_{1} = π /6$
$ω t_{2} = π /3$
$\frac{t _{1}}{t _{2}} = \frac{1}{2}$
$t_{2} = 2 t_{1} = 2 \times 2 = 4 sec$

Q. A particle executes simple harmonic motion berween x=−A and x=+A. If time taken by particle to go from x=0 to 2A​ is 2s; then time taken by particle in going from x=2A​ to A is

1.5S

3s

4s

2s

Let time from 0 to A/2 is t1​ & from A/2 to A is t2​ then ωt1​=π/6 ωt2​=π/3 t2​t1​​=21​ t2​=2t1​=2×2=4sec

Q. A particle executes simple harmonic motion berween $x = - A$ 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

Let time from 0 to $A /2$ is $t_{1}$
$&$ from $A /2$ to $A$ is $t_{2}$
then $ω t_{1} = π /6$
$ω t_{2} = π /3$
$\frac{t _{1}}{t _{2}} = \frac{1}{2}$
$t_{2} = 2 t_{1} = 2 \times 2 = 4 sec$