Home
Class 12
PHYSICS
In an experiment of simple pendulum, the...

In an experiment of simple pendulum, the errors in the measurement of length of the pendulum `(L)` and time period `(T)` are `3%` and `2%` respectively. The maximum percentage error in the value of `L//T^(2)` is

Text Solution

Verified by Experts

Maximum percentage error in the value of `L/(T^2) = ((DeltaL)/(L) xx 100) + 2((DeltaT)/(T) xx 100)`
`= 3 + (2xx2) = 3+4 = 7%`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise SHORT ANSWER TYPE QUESTIONS|16 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise VERY SHORT ANSWER TYPE QUESTIONS|24 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

In an experiment of simple pendulum the errors in the measurement of length of the pendulum L and time period T are 3% and 2% respectively. Find the maximum percentage error in the value of acceleration due to gravity.

The error in the measurement of length and radius of a cylinder are 1% and 2% respectively. The maximum percentage of error in its volume is

The error in the measurement of the length of the sample pendulum is 0.2% and the error in time period 4% . The maximum possible error in measurement of (L)/(T^(2)) is

In a simple pendulum the period of oscillation (T) is related to the length of the pendulum (L) as

The percentage error in measurements of length and time period is 2% and 1% respectively . The percentage error in measurements of 'g' is

In an experiment, the percentage of error occurred in the in the measurement of physical quantities A,B,C and D are 1%, 2%,3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X=(A^(2)B^(1//2))/(C^(1//3)D^(3)) , will be

The heat dissipated in a resistance can be obtained by the measurement of resistance, current and time. If the maximum percentage error in the measurement of these quantities are 1%,2% and 1% respectively. The maximum percentage error in the determination of the dissipated heat is -

The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in measurement of mass and diameter are 2% and 3% respectively then the maximum percentage error in the measurement of density is

The acceleration due to gravity is measured on the surface of earth by using a simple pendulum. If alphaandbeta are relative errors in the measurement of length and time period respectively, then percentage error in the measurement of acceleration due to gravity is

What is the percentage error in the measurement of time period of a pendulum if maximum errors in the measurement of l ands g are 2% and 4% respectively?

AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -3
  1. In an experiment of simple pendulum, the errors in the measurement of ...

    Text Solution

    |

  2. The length of a rectangular plate is measured as 10 cm by a vernier sc...

    Text Solution

    |

  3. The length of a metallic sheet is measured as 10.0 cm using a metre sc...

    Text Solution

    |

  4. The mass of a beaker is (10.1 pm 0.1)g when empty and (17.3pm0.1)g whe...

    Text Solution

    |

  5. The measured mass the volume of a body are 2.42 and 4.7 cm^3 respectiv...

    Text Solution

    |

  6. When two resistors of (600pm3) ohm and (300pm 6) ohm are connected in ...

    Text Solution

    |

  7. A parabolic wire as shown in the figure is located in x-y plane and ca...

    Text Solution

    |

  8. Two resistors of 10KOmega and 20KOmega are conne cted in series. If t...

    Text Solution

    |

  9. Imagine a light planet revolving around a very massive star in a circu...

    Text Solution

    |

  10. A man in a lift ascending with an upward acceleration a throws a ball ...

    Text Solution

    |

  11. While measuring the acceleration due to gravity by a simple pendulum, ...

    Text Solution

    |

  12. The value of escape speed from the surface of earth is

    Text Solution

    |

  13. In the measurement of volume of solid sphere using the formula V=(4)/(...

    Text Solution

    |

  14. A uniform round object of mass M, radius R and moment of inertia about...

    Text Solution

    |

  15. Resistance of a given wire is obtained by measuring the current flowin...

    Text Solution

    |

  16. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  17. A physical quantity is represented by X=M^(a)L^(b)T^(-c).If the percen...

    Text Solution

    |

  18. In a simple pendulum experiment, length is measured as 31.4 cm with an...

    Text Solution

    |

  19. Figure shows two capacitors of capacitance 2muF and 4muF and a cell of...

    Text Solution

    |

  20. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  21. A rectangular metal slab of mass 33.333 g has its length 8.0 cm, bread...

    Text Solution

    |