Download App

STD 11 - 13. oscillations — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 13. oscillations4 Marks
MCQ
Values of the acceleration $A$ of a particle moving in simple harmonic motion as a function of its displacement $x$ are given in the table below. The period of the motion is

$A (mm \,\,s^{-2}$)

 $16$

    $8$

$0$

$- 8$

$- 16$

$x\;(mm)$

$- 4$

$- 2$

$0$

  $2$

   $4$
  • A
    $\frac{1}{\pi }s$
  • B
    $\frac{2}{\pi }s$
  • C
    $\frac{\pi }{2}s$
  • ✓
    $\pi \,s$
✓

Answer

Correct option: D.
$\pi \,s$
d
(d) $|A| = \omega^2x$ ==> $\frac{{|A|}}{x} = {\omega ^2}$

From the given value $\frac{{|A|}}{x} = {\omega ^2} = 4$ ==> $\omega = 2.$

Also $\omega = \frac{{2\pi }}{T} \Rightarrow 2 = \frac{{2\pi }}{T}\, \Rightarrow T = \pi \,sec$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

In the circuit shown in figure, potential difference between points $A$ and $B$ is $16\, V$. The current passing through $2\,\Omega $ resistance will be ................. $\mathrm{A}$
→
The maximum efficiency of full wave rectifier is.........$\%$
→
Sound velocity is maximum in
→
In a region of space, a uniform magnetic field $B$ exists in the $y-$direction.Aproton is fired from the origin, with its initial velocity $v$ making a small angle $\alpha$ with the $y-$ direction in the $yz$ plane. In the subsequent motion of the proton,
→
Heat produced in a wire of resistance $R$ due to current flowing at constant potential difference is proportional to
→
In an ideal transformer, the turns ratio is $\frac{N_p}{N_S}=\frac{1}{2}$. The ratio $V_s: V_p$ is equal to (the symbols carry their usual meaning):
→
If particle is executing simple harmonic motion with time period $T$, then the time period of its total mechanical energy is ...........
→
A solid expands upon heating because
→
$X-$ rays of which of the following wavelengths are hardest.........$\mathop A\limits^o $
→
Moment of inertia of a rod of mass ' M ' and length 'L' about an axis passing through its center and normal to its length is ' $\alpha$ '. Now the rod is cut into two equal parts and these parts are joined symmetrically to form a cross shape. Moment of inertia of cross about an axis passing through its center and normal to plane containing cross is :
→