Home
Class 11
PHYSICS
The displacement (in m) of a particle of...

The displacement (in m) of a particle of mass 100 gm from its mean position is given by the equation `Y=0.05 sin 3pi(5t +0.4)`

A

the time period of motion is 1/30 sec.

B

the time period of motion is 1/7.5 sec .

C

the maximum acceleration of the particle is `11.251pi^2 m//s^2`

D

the force acting on the particle is zero when the displacement is 0.05 m

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I)(LEVEL - II)(LINKED COMPREHENSION TYPE QUESTIONS)|2 Videos

  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I)(LEVEL - II)(MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I)(LEVEL - II)(STRAIGHT OBJECTIVE TYPE QUESTIONS)|12 Videos

  • ROTATIONAL MECHANICS

    AAKASH SERIES|Exercise Questions for Descriptive Answers|20 Videos

  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle from its mean position (in meter) is given by Y=0.2sin(10pit+1.5pi) cos (10p t+1.5 pi) . The motion of the particle is

The displacement of a particle from its mean position (in meter) is given by Y=0.2sin(10pit+1.5pi) cos (10p t+1.5 pi) . The motion of the particle is

Knowledge Check

  • The displacement of a particle executing S.H.M from its mean position is given by x = 0.5 sin (10 pi t + 1.5) cos (10 pi t + 1.5) . The ratio of the maximum velocity to the maximum acceleration of the body is given by

    A
    `20 pi`
    B
    `1/(20 pi)`
    C
    `1/(10 pi)`
    D
    `10 pi`

  • The displacement of a particle from its mean position in meter) is given by Y = 0.2 sin (10pi t +1.5) cos(10pit+1.5) . The motion of the particle is

    A
    Periodic but not SHM
    B
    Non - Periodic
    C
    SHM with period 0.1sec
    D
    SHM with period 0.2 sec

  • The displacement of a particle from its mean position (in meter) is given by Y = 0.2 sin(10 pi t + 1.5 pi) cos (10 pi t + 1.5 pi) . The motion of the particle is

    A
    Periodic but not SHM
    B
    non-periodic
    C
    SHM with period 0.1 sec
    D
    SHM with period 0.2 sec

    • Similar Questions

    Explore conceptually related problems

    The displacement of particle from its mean position (in meter) is given by Y = 0.2 sin( 10 pit+1.5 pi) cos (10 pit+1.5pi ) . The motion of the particle is

    The displacement of a particle of mass 3 gm executing S.H.M is given by y = 3 sin(0.2 t) in S.I units. The K.E of a particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position

    The displacement of a particle of mass 3gm executing S.H.M is given by y = 3 sin (0.2t) in S.I units. The K.E of the particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position is

    The displacement of a particle of mass 2 g executing SHM is given by y=5sin(4t+pi/3) . Here, y is in metres and t is in seconds. The kinetic energy of the particle, when t=T/4 is

    When a wave travels in a medium the particles displacement is given by the equation y(x,t)=0.03sin pi (2t-0.01x) Where y and x are in metre and t in second. The wavelengths of the wave is

    Home
    Profile