Home
Class 12
PHYSICS
What will be the time period of a pendul...

What will be the time period of a pendulum which beats seconds ( i.e.,it passes through the mean position after every one second ) it its length is doubled ?
Hint `: T = 2pi sqrt((L)/(g))=2` ....(i)
`T' = 2pi sqrt((2L)/(g)) `
Fin `T'` using equation (i)

Text Solution

AI Generated Solution

To find the time period of a pendulum when its length is doubled, we can follow these steps: ### Step 1: Understand the formula for the time period of a simple pendulum The time period \( T \) of a simple pendulum is given by the formula: \[ T = 2\pi \sqrt{\frac{L}{g}} \] where: ...
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

I=int sqrt(1-t^(2))dt

The acceleration due to gravity on the surface of earth is 9.8 ms^(-2) .Time period of a simple pendulum on earth and moon are 3.5 second and 8.4 second respectively. Find the acceleration due to gravity on the moon . Hint : T_(e) = 2pi sqrt((L)/(g_(e))) T_(m)= 2pi sqrt((L)/(g_(m))) (T_(e)^(2))/(T_(m)^(2))= (g_(m))/(g_(e)) g_(m) = (T_(e)^(2))/(T_(m)^(2))g_(e)

Show that the expression of the time period T of a simple pendulum of length l given by T = 2pi sqrt((l)/(g)) is dimensionally currect

Show that the expression of the time period T of a simple pendulum of length l given by T = 2pi sqrt((l)/(g)) is dimensionally correct

Time period of a particle executing SHM is 16s.At time t = 2s , it crosses the mean position . Its amplitude of motion is ( 32sqrt(2))/(pi) m . Its velocity at t = 4s is

Calculate the time period of a simple pendulum whose length is equal to radius of earth. Hint : L =R_(e) = 6.4 xx 10^(6) m , g = 9.8 ms^(-2) T ' = 2pi sqrt(( R_(e))/(2g))

Prove that the least positive value of x , satisfying tanx=x+1,l i e sint h ein t e r v a l(pi/4,pi/2)dot

The angle made by the string of a simple pendulum with the vertical depends on time as theta=pi/90sin[(pis^-1)t] . Find the length of the pendulum if g=pi^2ms^-2

Draw a graph (not to the scale) representing the variation of square of time period ( T^2 ) with the length (l) of a pendulum.

The time period 'T' of a simple pendulum of length 'l' is given by T = 2pisqrt(l/g) .Find the percentage error in the value of 'T' if the percentage error in the value of 'l' is 2%.

AAKASH INSTITUTE ENGLISH-OSCILLATIONS-Try Yourself
  1. A 10 kg collar is attached to a spring of spring constant 1000 Nm^(-1...

    Text Solution

    |

  2. A 5kg collar is attached to a spring . It slides without friction over...

    Text Solution

    |

  3. What will be the time period of a pendulum which beats seconds ( i.e.,...

    Text Solution

    |

  4. The acceleration due to gravity on the surface of earth is 9.8 ms^(-...

    Text Solution

    |

  5. A simple pendulum with a metallic bob has a time period T.The bob is n...

    Text Solution

    |

  6. Calculate the time period of a simple pendulum whose length is equal t...

    Text Solution

    |

  7. In dampled oscillation , the amplitude of oscillation is reduced to ha...

    Text Solution

    |

  8. For the damped oscillator shown in previous figure, k= 180 Nm^(-1) and...

    Text Solution

    |

  9. Find the time period of osciallation in the shown arrangement.

    Text Solution

    |

  10. Find time period of liquid column of length l in the shown tube.

    Text Solution

    |

  11. Categorize the motion as periodic or oscillatory motion (i) Motion o...

    Text Solution

    |

  12. Is circular motion an exampleos oscillatory motion ? Hint : Think -...

    Text Solution

    |

  13. From the given graph , find time period and frequency for A and B.

    Text Solution

    |

  14. The beat frequency of heart of a person is 1.35 H z. How many times, d...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Categorise the following function oftime : sin omega t + cos omega t ...

    Text Solution

    |

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

    Text Solution

    |