Two mutually perpendicular simple harmonic vibrations have same a… - Vidyadip

MCQ

Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be

A
A circle
B
An ellipse
✓
A straight line
D
A parabola

✓

Answer

Correct option: C.

A straight line

c
(c) If ${y_1} = {a_1}\sin \omega \,t$ and ${y_2} = {a_2}\sin (\omega \,t + 0) = {a_2}\sin \omega \,t$
==> $\frac{{y_1^2}}{{a_1^2}} + \frac{{y_2^2}}{{a_2^2}} - \frac{{2{y_1}{y_2}}}{{{a_1}{a_2}}} = 0$

==> ${y_2} = \frac{{{a_2}}}{{{a_1}}}{y_1}$
This is the equation of straight line.

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

Consider two rods of same length and different specific heats $\left( c _1, c _2\right)$, thermal conductivities $\left( K _1, K_2\right)$ and area of cross-sections $\left(A_1, A_2\right)$ and both having temperatures $\left(T_1, T_2\right)$ at their ends. If their rate of loss of heat due to conduction is equal, then:

A projectile is thrown in the upward direction making an angle of $60^o$ with the horizontal direction with a velocity of $150\, ms^{-1}$. Then the time after which its inclination with the horizontal is $45^o$ is

If $L , C$ and $R$ denote the inductance, capacitance and resistance respectively, the dimensional formula for $C ^{2} LR$ is

Which of the following statement is incorrect regarding mass?

A particle is moving along a curve. Then

The most accurate reading of the length of a $6.28 \,cm$ long fibre is ............... $cm$

For a particle of a rotating rigid body, $\text{v}=\text{r}\omega,\text{So}$

A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. Which figure represents the track of its centre of mass?

If an ideal gas has volume $V$ at $27°C$ and it is heated at a constant pressure so that its volume becomes $1.5V.$ Then the value of final temperature will be ....... $^oC$

Two vectors $\overrightarrow{{X}}$ and $\overrightarrow{{Y}}$ have equal magnitude. The magnitude of $(\overrightarrow{{X}}-\overrightarrow{{Y}})$ is ${n}$ times the magnitude of $(\overrightarrow{{X}}+\overrightarrow{{Y}})$. The angle between $\overrightarrow{{X}}$ and $\overrightarrow{{Y}}$ is -