Home
Class 11
PHYSICS
A particle is subjected to two S H Ms x(...

A particle is subjected to two S H Ms `x_(1) = A_(1) sin wt` and `x_(2) = A_(2) sin (w t + pi//4)`. The resultant S H M will have an amplitude of

A

`(A_(1)+A_(2))/2`

B

`sqrt(A_(1)^(2)+A_(2)^(2))`

C

`sqrt(A_(1)^(2)+A_(2)^(2)+sqrt(2)A_(1)A_(2))`

D

`A_(1)A_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH SERIES|Exercise Practice exercise|140 Videos

  • OSCILLATIONS

    AAKASH SERIES|Exercise EXERCISE -I Equation of S.H.M|51 Videos

  • OSCILLATIONS

    AAKASH SERIES|Exercise EXERCISE I|184 Videos

  • OSCILLATION

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWERS|12 Videos

  • PHYSICAL WORLD

    AAKASH SERIES|Exercise VERY SHORT ANSWER TYPE QUESTIONS|5 Videos

Similar Questions

Explore conceptually related problems

A particle is subjected to SHM as given by equations x_1 = A_1 sin omegat and x_2 = A_2 sin (omega t + pi//3) .The maximum acceleration and amplitude of the resultant motion are it a_("max") and A ,respectively , then

A particle is subjected to SHM as given by equations x_1 = A_1 sin omega t and x_2 = A_2 sin (omega t + pi//3) .The maximum acceleration and amplitude of the resultant motion are a_("max") and A, respectively, then

Knowledge Check

  • A particle is subjected to two S H Ms x_(1) = A_(1) sin wt and x_(2) = A_(2)sin (wt + pi//4) . The resultant SH M will have an amplitude of

    A
    `(A_(1)+A_(2))/(2)`
    B
    `sqrt((A_(1)^(2)+A_(2)^(2))`
    C
    `sqrt((A_(1)^(2)+A_(2)^(2)+sqrt(2)A_(1)A_(2))`
    D
    `A_(1)A_(2)`

  • A particle is subjected to two S H Ms x_(1)=A_(1) sin wt and x_(2)=A_(2)sin (wt+pi//4) . The resultant SHM will have an amplitude of

    A
    `(A_(1)+A_(2))/2`
    B
    `sqrt(A_(1)^(2)+A_(2)^(2))`
    C
    `sqrt(A_(1)^(2)+A_(2)^(2)+sqrt(2)A_(1)A_(2))`
    D
    `A_(1)A_(2)`

  • Four simple harmonic vibrations x_(1) = 8 sin omega t, x_(2) = 6 sin (omega t + pi//2), x_(3) = 4 sin(omega t + pi) and x_(2) = 2 sin (omega t + 3pi //2) are superimposed on each other. The resulting amplitude is

    A
    20
    B
    `8sqrt(2)`
    C
    `4sqrt(2)`
    D
    4

    • Similar Questions

    Explore conceptually related problems

    A particle is subjected to two simple harmonic motions given by x_1 = 2.0 sin(100 pi t) and x_2= 2.0 sin(120 pi t+pi//3) where x is in centimeter and t in second. Find the displacement of the particle at t= 0.0125.

    A particle is subjected to two simple harmonic motions given by x_1 = 2.0 sin(100 pi t) and x_2= 2.0 sin(120 pi t+pi//3) where x is in centimeter and t in second. Find the displacement of the particle at t=0.025.

    The optical vectors of two interfering light waves are E_1 = 2 sin omega t and E_2 = 5 sin (omega t +pi/3) . Find the resultant amplitude.

    The displacement of two particles executing S.H.M are represented by y_(1) = a sin(wt + phi) and y_(2) = a cos w t . The phase difference between the velocities of these particles is

    Two particales executing simple harmonic motion as described by y _(1) = 30 sin (2pi t + (pi)/(3)) and y _(2) = 10 ( sin 2pi t + sqrt3 cos 2 pi t ) have amplitiudes A_(1) and A_(2) respectively. The ratio A _(1) : A_(2) is

    Home
    Profile