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When two displacement represented by y(1...

When two displacement represented by `y_(1) = a sin (omega t)` and `y_(2) = b cos (omega t)` are superimposed, the motion is

A

Simple harmonic with amplitude `((a +b))/(2)`

B

Not a simple harmonic

C

Simple harmonic with amplitude `(a)/(b)`

D

Simple harmonic with amplitude `sqrt(a^(2) + b^(2))`

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE-OSCILLATIONS-Assignment (Section C) (PREVIOUS YEARS QUESTIONS)
  1. A particle is executing a simple harmonic motion. Its maximum accelera...

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  2. A particle is executing SHM along a straight line. Its velocities at d...

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  3. When two displacement represented by y(1) = a sin (omega t) and y(2) =...

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  4. The oscillation of a body on a smooth horizontal surface is represente...

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  5. Out of the following functions representing motion of a particle which...

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  6. Two particles are oscillating along two close parallel straight lines ...

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  7. The displacement of a particle along the x-axis is given by x = a sin^...

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  8. The period of oscillation of mass M suspended from a spring of negligi...

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  9. A simple pendulum performs simple harmonic motion about x=0 with an am...

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  10. Which one of the following equations of motion represents simple harmo...

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  11. Two simple harmonic motion of angular frequency 100and 1000 rads^(-1) ...

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  12. A point performs simple harmonic oscillation of period T and the equat...

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  13. A mass of 2.0 kg is put on a flat pan attached to a vertical spring fi...

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  14. The phase difference between the instantaneous velocity and acce...

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  15. The particle executing simple harmonic motion has a kinetic energy K(0...

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  16. A particle executes simple harmonic oscillation with an amplitudes a. ...

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  17. A rectangular block of mass m and area of cross-section A floats in a ...

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  18. the circular motion of a particle with constant speed is

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  19. A particle executing simple harmonic motion of amplitude 5cm has maxim...

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  20. which of the following is simple harmonic motion?

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