Home
Class 12
PHYSICS
Does e^(omegat) represent periodic motio...

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

Text Solution

AI Generated Solution

To determine whether the function \( e^{\omega t} \) represents periodic motion, we need to analyze its behavior over time. ### Step 1: Understanding the Function The function given is \( y = e^{\omega t} \), where \( \omega \) is a positive constant. ### Step 2: Behavior of the Function As time \( t \) increases, the value of \( e^{\omega t} \) also increases. Specifically, since \( \omega \) is positive, the exponential function grows without bound as \( t \) approaches infinity. ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

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

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

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

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

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (Section-B)|4 Videos

Similar Questions

Explore conceptually related problems

Does cos omegat +sin2 omega t +cos 4 omega t represent periodic motion ? If yes, then find the period ( omega is any positive constant) . Hint : ( Each term represents a periodic function with different angular freuency . Find the smallest interval of time after which the sum of three terms repeats ) .

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 omegat(ii) log ( 2 omega)

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)

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 ?

Consider the section of the periodic table given below. Note : In this table B does not represent boron C does not represent carbon F does not represent fluorine H does not represent hydrogen K does not represent potassium You must see the position of the element in the periodic table. Some elements are given in their own symbol and position in the periodic table, while others are shown with a letter. With reference to the table: Draw the electron dot structure for the compound formed between C and K.

Consider the section of the periodic table given below. Note : In this table B does not represent boron C does not represent carbon F does not represent fluorine H does not represent hydrogen K does not represent potassium You must see the position of the element in the periodic table. Some elements are given in their own symbol and position in the periodic table, while others are shown with a letter. With reference to the table: How many valence electrons are present in G?

Consider the section of the periodic table given below. Note: In this table, B does not represent boron C does not represent carbon F does not represent fluorine H does not represent hydrogen K does not represent potassium You must see the position of the element in the periodic table. Some elements are given in their own symbol and position in the periodic table, while others are shown with a letter. With reference to the table: Write the formula of the compound between B and H.

Consider the section of the periodic table given below. Note : In this table B does not represent boron C does not represent carbon F does not represent fluorine H does not represent hydrogen K does not represent potassium You must see the position of the element in the periodic table. Some elements are given in their own symbol and position in the periodic table, while others are shown with a letter. With reference to the table: Which is the most electronegative ?

Consider the section of the periodic table given below. Note: In this table, B does not represent boron C does not represent carbon F does not represent fluorine H does not represent hydrogen K does not represent potassium You must see the position of the element in the periodic table. Some elements are given in their own symbol and position in the periodic table, while others are shown with a letter. With reference to the table: In the compound between F and J, what type of bond will be formed?

Consider the section of the periodic table given below. Note : In this table B does not represent boron C does not represent carbon F does not represent fluorine H does not represent hydrogen K does not represent potassium You must see the position of the element in the periodic table. Some elements are given in their own symbol and position in the periodic table, while others are shown with a letter. With reference to the table: Write the formula of the compound between B and H.

AAKASH INSTITUTE ENGLISH-OSCILLATIONS-Try Yourself
  1. The beat frequency of heart of a person is 1.35 H z. How many times, d...

    Text Solution

    |

  2. Does cos omegat +sin2 omega t +cos 4 omega t represent periodic moti...

    Text Solution

    |

  3. Does e^(omegat) represent periodic motion ? Ifyes, then find the perio...

    Text Solution

    |

  4. Categorise the following function of time : cos^(2) omega t as (a) ...

    Text Solution

    |

  5. Categorise the following function of time : cos^(3) omega t as (a) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. For Question x= 0.25 cos ( 6000 t + 0.85) ,find (i) period and (ii) i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |