Download App

13. oscillations — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
Function $x$ = $A sin^2 wt + B cos^2 wt + C sin wt \  cos wt$ does not represents $SHM$ for this condition
  • A
    If $A =0$; $B =0$ and $C \ne 0$
  • B
    If $A = -B ; C = 2B,$ amplitude =$\left| {B\sqrt 2 } \right|$
  • ✓
    If $A = B$ ; $C =0$
  • D
    If $A =B$ ; $C = 2B,$ amplitude =$\left| B \right|$
✓

Answer

Correct option: C.
If $A = B$ ; $C =0$
c
$\mathrm{x}=\frac{\mathrm{A}}{2}(1-\cos 2 \omega \mathrm{t})+\frac{\mathrm{B}}{2}(1+\cos 2 \omega \mathrm{t})+\frac{\mathrm{C}}{2} \sin 2 \omega \mathrm{t}$

$(1)$ For $\mathrm{A}=0, \mathrm{B}=0 ;\left(\mathrm{x}=\frac{\mathrm{C}}{2} \sin 2 \omega \mathrm{t}\right)$

$(2)$ For $A=-B$ and $C=2 B$

$\mathrm{x}=\mathrm{B} \cos 2 \omega \mathrm{t}+\mathrm{B} \sin 2 \omega \mathrm{t} ;$ Amplitude $=|\mathrm{B} \sqrt{2}|$

$(3)$ For $\mathrm{A}=\mathrm{B} ; \mathrm{C}=0 ; \mathrm{x}=\mathrm{A}$

Hence this will not represent $SHM$

$(d)$ For $A=B, C=2 B ; x=B+B \sin 2 \omega t$

it also represents $SHM.$

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

More "M.C.Q (1 Marks)" from 13. oscillations→13. oscillations — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

An AC source rated 100V (rms) supplies a current of 10A (rms) to a circuit. The average power delivered by the source:
  1. Must be 1000W.
  2. May be 1000W.
  3. May be greater than 1000W.
  4. May be less than 1000W.
→
A $NCC$ parade is going at a uniform speed of $9\,km / h$ under a mango tree on which a monkey is sitting at a height of $19.6\,m$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is $...m$

(Given $g=9.8\,m / s ^{2}$ )

→
Three identical spheres, each of mass $M ,$ are placed at the corners of a right angle triangle with mutually perpendicular sides equal to $2 \;m$ (see figure). Taking the point of intersection of the two mutually perpendicular sides as the origin, find the position vector of centre of mass.
→
A particle is moving along a straight line with constant acceleration. At the end of tenth  second its velocity becomes $20\, m/s$ and in tenth second it travels a distance of $10\, m$.  Then the acceleration of the particle will be........$m/s^2$
→
The surface tension of a liquid at its boiling point:
→
The temperature gradient in a rod of $0.5 m$ long is ${80^o}C/m$. If the temperature of hotter end of the rod is ${30^o}C$, then the temperature of the cooler end is ...... $^oC$
→
A point mass oscillates along the x-axis according to the law $x=x_0cos$$\left( {\omega t - \frac{\pi }{4}} \right)$ If the acceleration of the particle is written as $a=Acos$$\left( {\omega t + \delta } \right)$ then
→
Two tuning forks have frequencies $450\, Hz$ and $454\, Hz$ respectively. On sounding these forks together, the time interval between successive maximum intensities will be .... $sec$
→
Consider elastic collision of a particle of mass $m $ moving with a velocity $u$ with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles ${\theta _1}$and ${\theta _2}$respectively with the initial direction of motion. The sum of the angles. ${\theta _1} + {\theta _2},$ is......$^o$
→
Obtain the dimensional equation for universal gas constant.
→