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The ratio of amplitudes of following SHM...

The ratio of amplitudes of following SHM is `x_(1) = A sin omega t and x_(2) = A sin omega t + A cos omega t`

A

`sqrt(2)`

B

`(1)/(sqrt(2))`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B
Amplitude of `x_(2)` is `A_(2) = sqrt(A^(2)+A^(2))=A sqrt(2)`
Amplitude of `x_(1)` is `A_(1)=A rArr (A_(1))/(A_(2))=(1)/(sqrt(2))`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-OSCILLATIONS-EXERCISE 2
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  2. A mass M attached to a horizontal spring executes SHM with an amplitud...

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  3. A particle oscillates simple harmonically along a straight line with p...

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  4. Two identical springs are connected to mass m as shown (k = spring con...

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  5. The distance moved by a particle in simple harmonic motion in one time...

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  6. Two pendulums have time period T and 5T/4. They starts SHM at the same...

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  7. Maximum velocity ini SHM is v(m). The average velocity during motion f...

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  8. A particle is acted simultaneously by mutally perpendicular simple har...

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  9. The maximum velocity and maximum acceleration of a particle per for mi...

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  10. A pendulum with time period of 1s is losing energy due to damping. At ...

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  11. A weakly damped harmonic oscillator of frequency n1 is driven by an ex...

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  12. The amplitude of a executing SHM is 4cm At the mean position the speed...

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  13. The displacement of a particle is represented by the equation y=sin^(...

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  14. For a particle performing SHM, equation of motion is given as (d^(2))/...

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  15. For a particle executing SHM, x = displacement from mean position, v =...

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  16. A particle is executing SHM. Then the graph of acceleration as a funct...

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  17. The ratio of amplitudes of following SHM is x(1) = A sin omega t and x...

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  18. A man measures time period of a pendulum (T) in stationary lift. If th...

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

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  20. The displacement of a linear simple harmonic oscillator is given by y ...

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