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If the maximum velocity and acceleration...

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude the time period will be

A

1.57 sec

B

3.14 sec

C

6.28 sec

D

12.56 sec

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The acceleration of a particle executing S.H.M. is

    A
    Always directed towards the equilibrium position
    B
    Always towards the one end
    C
    Continuously changing in direction
    D
    Maximum at the mean position

  • The maximum velocity and maximum acceleration of a particle executing SHM are 20 cm s^(-1) and 100 cm s^(-2) . The displacement of the particle from the mean position when its speed is 10 cm s^(-1) is

    A
    2 cm
    B
    2.5 cm
    C
    `2sqrt(3) cm`
    D
    `2sqrt(2) cm`

  • If x, v and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period T. Then, which of the following does not change with time?

    A
    `(aT)/(x)`
    B
    `aT + 2pi v`
    C
    `(aT)/(v)`
    D
    `a^(2)T^(2) + 4pi^(2)v^(2)`