The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitude but differing in phase by $π / 2$ is

simple harmonic

No worries! We‘ve got your back. Try BYJU‘S free classes today!

circular

No worries! We‘ve got your back. Try BYJU‘S free classes today!

elliptical

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

parabolic

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C elliptical
The combined equation of two SHMs in perpendicular directions is
$\frac{x^{2}}{A_{1}^{2}} + \frac{y^{2}}{A_{2}^{2}} = 1$ , which is an equation of ellipse. Hence, option C is correct.

Suggest Corrections

Similar questions

Two S.H.M's of unequal amplitude with same frequency (act) on a particle at right angle, with a phase difference of $\frac{π}{2}$ . The resultant motion is:

Two linear simple harmonic motions of equal amplitude and frequency are

impressed on a particle along x and y-axis respectively. The initial phase difference between them is

\frac{π}{2}

. The resultant path followed by the particle is :

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motions, find the phase difference between the individual motions.

Q. Two simple harmonic waves having the same amplitude and frequency with zero phase difference superimpose at right angles to each other. The resultant motion will be

Q. When two mutually perpendicular simple harmonic motions of same frequency , amplitude and phase are superimposed

Join BYJU'S Learning Program

The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitude but differing in phase by π/2 is

The correct option is C ellipticalThe combined equation of two SHMs in perpendicular directions is x2A21+y2A22=1, which is an equation of ellipse. Hence, option C is correct.

The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitude but differing in phase by $π / 2$ is

The correct option is C elliptical
The combined equation of two SHMs in perpendicular directions is
$\frac{x^{2}}{A_{1}^{2}} + \frac{y^{2}}{A_{2}^{2}} = 1$ , which is an equation of ellipse. Hence, option C is correct.