Home
Class 12
PHYSICS
Categorise the following function of tim...

Categorise the following function of time `e^(omega^(2)t)` as
(a) S.H.M.
(b) Periodic but not S.H.M. Also , give period if it is periodic motion.
Hint `:` Doest it repeat itself ?

Text Solution

Verified by Experts

Exponential function never repeats itself. So it represents non periodic motion.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT ( SECTION -A)|58 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-B )|25 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section D) (ASSERTION-REASON TYPE QUESTIONS)|13 Videos
  • NUCLEI

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D)|10 Videos
  • PHYSICAL WORLD

    AAKASH INSTITUTE|Exercise ASSIGNMENT (Section-B)|5 Videos

Similar Questions

Explore conceptually related problems

Categories the following function of time 3 sin ( 2 omegat - (pi)/( 4)) as (a) SHM , (b) Periodic but not SHM. Also give the period.

Categorise the following function of time : cos^(2) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also , give the period Hint : cos^(2) omegat = (1)/(2) + (1)/(2) cos 2 omegat

Categorise the following function of time : sin omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

Categorise the following function of time : cos^(3) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also find the period. Hint : cos^(3) omegat= (1)/(4)( 3 cos omegat- cos 3 omegat )

Which of the following functions of time represented (a) periodic and (b) non-periodic motion ? Given the period for each case of periodic motion ( omega is any positive constant(i) sin omega t-cos omega(ii) log ( 2 omega)

Does e^(omegat) represent periodic motion ? Ifyes, then find the period ( omega is any positive constant ) Hint : (Think , Does it repeat itself)

Which of the following functions of time represent (a) simple harmonic (b) periodic but not simple harmonic and (c ) non periodic motion? Give period for each case of periodic motion (omega is nay positive constant) (1) Sin^(3) omegat (2) 3cos (pi//4 -2 omegat) (3) cos omegat +cos 3 omegat + cos 5 omegat (4) e^(-omega^(2)t^(2)) (5) 1 + omegat +omega^(2) t^(2)

Which of the following funchtions of time represent (a) periodic and (b) non-periodic motion? Give the period for each of period motion. (omega is any positive constant ) (i) sinomegat+cosomegat (ii) sinomegat+cos2omegat+sin4omegat (iii) e^(-omegat) (iv) logomegat

AAKASH INSTITUTE-OSCILLATIONS-Try Yourself
  1. Categorise the following function of time : cos^(3) omega t as (a) ...

    Text Solution

    |

  2. Categorise the following function of time : sin omega t + sin 5 omega ...

    Text Solution

    |

  3. Categorise the following function of time e^(omega^(2)t) as (a) S.H....

    Text Solution

    |

  4. Obtain the equation of S.H.M. of a particle whose amplitude is 0.02,an...

    Text Solution

    |

  5. The shortest distance travelled by a particle executing S.H.M. from me...

    Text Solution

    |

  6. A harmonic osciallation is represented by x=0.25 cos ( 6000t + 0.85) ,...

    Text Solution

    |

  7. For Question, find (i) period and (ii) initial phase Hint : Period ,...

    Text Solution

    |

  8. Plot the corresponding reference circle for given SHM x = 2 cos ((pi)...

    Text Solution

    |

  9. The corresponding reference circle for a given SHM has been shown in t...

    Text Solution

    |

  10. Find the time taken by the particle in going from = x = (A)/2) to x=A ...

    Text Solution

    |

  11. A particle startsits SHM at t=0 . At a particular instant on its way t...

    Text Solution

    |

  12. A particle executes SHM on a straight line path. The amplitude of osc...

    Text Solution

    |

  13. For Question , find maximum velocity and maximum acceleration Hint :...

    Text Solution

    |

  14. The acceleration of a particle performing SHM is12 cm //s^(2) at a dis...

    Text Solution

    |

  15. A particle executes simple harmonic motion about x=0 along x-axis. The...

    Text Solution

    |

  16. If maximum speed and acceleration of a particle executing SHM be 10 cm...

    Text Solution

    |

  17. A particle of mass 2 kg is moving with SHM. Its greatest velocity is...

    Text Solution

    |

  18. The vertical motion of a huge piston in a machine is approximately SHM...

    Text Solution

    |

  19. The vertical motion of a huge piston in a machine is approximately SHM...

    Text Solution

    |

  20. Many builidings have other types of mass dampersas antisway devices ( ...

    Text Solution

    |