Questions in Oscillations

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The phase difference between the displacement and acceleration of particle executing S.H.M. in radian is:
The phase difference in radians between displacement and velocity in S.H.M. is
If the maximum velocity of a particle in SHM is $v_0$ then its velocity at half the amplitude from position of rest will be:
At a particular position the velocity of a particle in SHM with amplitude a is \[\sqrt{3}/2\]that at its mean position. In this position, its displacement is:
The acceleration of a particle in SHM at $5 cm$ from its mean position is $20 cm/sec^2$. The value of angular velocity in radian/sec will be:
The amplitude of a particle in SHM is $5 cm$ and its time period is $\pi$. At a displacement of $3 cm$ from its mean position the velocity in $cm/sec$ wil be
The maximum velocity and acceleration of a particle in S.H.M. are $100 cm/sec$ and $157 cm/sec^2$ respectively. The time period in seconds will be:
If the displacement, velocity and acceleration of a particle in SHM are $1 cm$, $1cm/sec$, $1 cm/sec^2$ respectively, its time period will be (in seconds):
The particle is executing S.H.M. on a line 4 cms long. If its velocity at mean position is 12 cm/sec, its frequency in Hertz will be:
If the amplitude of a simple pendulum is doubled, how many times will the value of its maximum velocity be that of the maximum velocity in initial case:

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