Which of the following function represents a simple harmonic osci… - Vidyadip

MCQ

Which of the following function represents a simple harmonic oscillation

✓
$\sin \omega t - \cos \omega t$
B
${\sin ^2}\omega t$
C
$\sin \omega x + \sin 2\omega t$
D
$\sin \omega x - \sin 2\omega t$

✓

Answer

Correct option: A.

$\sin \omega t - \cos \omega t$

a
The standard differential equation is satisfied by only the function $\sin \omega \,t - \cos \omega \,t.$

Hence it represents $S.H.M.$

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

Similar questions

$P-V$ diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be

The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by

A beaker is filled in with water is accelerated $a $ $m/s^2$ in $+x$ direction. The surface of water shall make on angle

Rocket engines lift a rocket from the earth surface because hot gas with high velocity

Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, $\frac{\gamma_1}{\gamma_2}$ is

According to Joule's law of heating, heat produced $H = {I^2}\,Rt$, where I is current, $R$ is resistance and $t$ is time. If the errors in the measurement of $I, R$ and t are $3\%, 4\% $ and $6\% $ respectively then error in the measurement of $H$ is

Which of the following pairs is wrong

Energy needed in breaking a drop of radius $R$ into $n$ drops of radii $ r$ is given by

Which pair has the same dimensions

A particle of mass $M=0.2 kg$ is initially at rest in the $x y$-plane at a point $( x =-l, y =-h)$, where $l=10 m$ and $h=1 m$. The particle is accelerated at time $t =0$ with a constant acceleration $a =10 m / s ^2$ along the positive $x$-direction. Its angular momentum and torque with respect to the origin, in SI units, are represented by $\vec{L}$ and $\vec{\tau}$, respectively. $\hat{i}, \hat{j}$ and $\hat{k}$ are unit vectors along the positive $x , y$ and $z$-directions, respectively. If $\hat{k}=\hat{i} \times \hat{j}$ then which of the following statement($s$) is(are) correct?

$(A)$ The particle arrives at the point $(x=l, y=-h)$ at time $t =2 s$.

$(B)$ $\vec{\tau}=2 \hat{ k }$ when the particle passes through the point $(x=l, y=-h)$

$(C)$ $\overrightarrow{ L }=4 \hat{ k }$ when the particle passes through the point $(x=l, y=-h)$

$(D)$ $\vec{\tau}=\hat{ k }$ when the particle passes through the point $(x=0, y=-h)$