Home
Class 12
PHYSICS
The composition of two simple harmonic m...

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of `pi` result in the displacement of the particle along

A

a circle

B

the figure of eight

C

a straight line

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
`x=a sin omega t` and `y=b sin (omega t+pi)=-b sin omega t`
or, `(x)/(a)=-(y)/(b)` or `y=-(b)/(a)x`
It is an equation of a straight line
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder (TOPIC 2: Time Period, Frequency, Simple Pendulum and Spring Pendulum)|31 Videos

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder (TOPIC 3: Damped & Forced Oscillations and Resonance)|11 Videos

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|28 Videos

  • NUCLEI

    DISHA PUBLICATION|Exercise EXERCISE - 2 (CONCEPT APPLICATOR)|30 Videos

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of p results in the displacement of the particle along

The displacement of a particle in simple harmonic motion in one time period is

Knowledge Check

  • Two simple pendulums of equal length cross each other at mean position. Then their phase difference is

    A
    `pi` radian
    B
    `(3pi)/(2)` radian
    C
    `(pi)/(2)` radian
    D
    0 radian

  • A particle is executing two different simple harmonic motions, mutually perpendicular, of different amplitudes and having phase difference of pi//2 . The path of the particle will be

    A
    circular
    B
    straight line
    C
    parabolic
    D
    elliptical

  • Two particles A and B execute simple harmonic motion of period T and 5T/4. The start from mean position. The phase difference between them when the particle A complete one oscillation will be

    A
    `pi//2`
    B
    zero
    C
    `2pi//5`
    D
    `pi//4`

    • Similar Questions

    Explore conceptually related problems

    The funtion of time representing a simple harmonic motion with a period of pi/omega is :

    When two simple harmonic motions of same periods, same amplitude, having phase difference of 3pi//2 , and at right angles to each other are super imposed, the resultant wave from is a

    Two particles A and B execute simple harmonic motions of period T and 5T//4 . They start from mean position. The phase difference between them when the particle A complete an oscillation will be

    The distance moved by a particle in simple harmonic motion in one time period is

    The phase of a particle executing simple harmonic motion is pi/2 when it has

    Home
    Profile