Home
Class 11
PHYSICS
Consider a simple pendulum having a bob...

Consider a simple pendulum having a bob attached to a string that oscillates under the action of the force of gravity. Suppose that the period of oscillation of the simple pendulum depends on its length (l) , mass of the bob (m) and acceleration due to gravity (g). Derive the expression for its time period using the method of dimensions.

Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE with solutions (NEET)|2 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos
  • NATURE OF VIBRATION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|2 Videos

Similar Questions

Explore conceptually related problems

Time period of a pendulum (T) its length (l), mass of its bob (m) and acceleration due to gravity (g) are related as T = km^(x)l^(y)g^(z) where,

How will the time period of a simple pendulum change when its length is doubled?

Calculate the percentage of charge of time period of a simple pendulum if its length is increased by 8%.

Time period of a simple pendulum is 2 s. If its length is doubled, then the new time period will be

The effective length of a simple pendulum is 1 m. The pendulum completes 20 oscillations in 40 s. What is the value of acceleration due to gravity at that place?

What will be the percentage increase in the time period of a simple pendulum when its length is increased by 21% ?

Due to shifting from one place to another, the time period of a simple pendulum increases by 0.1%. What will be the percentage difference of the acceleration due to gravity at the second place as compared to that at the first place?

CHHAYA PUBLICATION-MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY -CBSE SCANNER
  1. Percentage error in the measurement of height and radius of cylinder a...

    Text Solution

    |

  2. The length and breadth of a rectangle are measured as ( a pm Delta a) ...

    Text Solution

    |

  3. A physical quantity P is related to four observables a, b, c and d as ...

    Text Solution

    |

  4. Define relative error and percentage error in a measurement .

    Text Solution

    |

  5. Write the dimensions of 'light year'.

    Text Solution

    |

  6. If A = (12.0 pm0.1)cm and B = (8.5pm 0.5) cm, find the value of (A-B).

    Text Solution

    |

  7. Name two physical quantities having dimension MLT^(-1).

    Text Solution

    |

  8. A potential difference of V = (20pm 1) volt is applied across a resis...

    Text Solution

    |

  9. If x= a+bt+ct^(2) , where x is in metre and t is in second , what is t...

    Text Solution

    |

  10. A physical quantity X is connected from X = ab^(2) //c. Calculate perc...

    Text Solution

    |

  11. Consider a simple pendulum having a bob attached to a string that osc...

    Text Solution

    |

  12. Write the dimensional formula of (i) pressure and (ii) impulse.

    Text Solution

    |

  13. Write the dimensional formula for (a) Planck's constant and (b) Surfac...

    Text Solution

    |

  14. A physical quantity P=(a^(3)b^(2))/(sqrt(cd)) the percentage errors i...

    Text Solution

    |

  15. Name the forces having the longest and shortest range of operation.

    Text Solution

    |

  16. What is the difference between mN and N . M?

    Text Solution

    |

  17. If heat dissipated in a resistance can be determined from the relation...

    Text Solution

    |

  18. The frequency (nu) of transverse wave on a string may depend upon (i) ...

    Text Solution

    |