Home
Class 11
PHYSICS
The period of oscillation of a simple pe...

The period of oscillation of a simple pendulum is `T = 2pisqrt(L//g)`. Measured value of L is `20.0 cm` known to `1mm` accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 s resolution. What is the accuracy in the determination of g?

A

0.01

B

0.05

C

0.02

D

0.03

Text Solution

Verified by Experts

The correct Answer is:
D
`d_(1)=0.5+8xx0.01+0.03`
`d_(2)=0.5+4xx0.01+0.03`
`d_(3)=0.5+6xx0.01+0.03`
`d_(n)=(d_(1)+d_(2)+d_(3))/(3)=0.5+0.03+(18xx0.01)/(3)`
`-0.59`
Promotional Banner

Topper's Solved these Questions

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-1)|51 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 5 B (Integer Type Questions)|3 Videos

  • KINEMATICS

    ALLEN |Exercise EXERCISE-2|89 Videos

Similar Questions

Explore conceptually related problems

The period of oscillation of a simple pendulum is T = 2pisqrt(L/g) . Measuted value of L is 20.0 cm known to 1mm accuracy and time for 100 oscillations of the pendulum is found to be 90s using a wrist watch of 1 s resolution. What is the accuracy in the determination of g ?

The period of oscillation of a simple pendulum is given by T=2pisqrt((l)/(g)) where l is about 100 cm and is known to have 1 mm accuracy. The period is about 2 s. The time of 100 oscillation is measrued by a stop watch of least count 0.1 s. The percentage error is g is

The period of oscillation of a simple pendulum is given by T=2pi sqrt((l)/(g)) . The length l of the pendulum is about 0.5s. The time of 100 oscillations is measured with a watch of 1 s resolution. Calcualte percentage error in measurment of g.

The periodic time of simple pendulum is T=2pi sqrt((l)/(g)) . The length (l) of the pendulum is about 100 cm measured with 1mm accuracy. The periodic time is about 2s. When 100 oscillations are measured by a stop watch having the least count 0.1 second. Calcaulte the percentage error in measurement of g.

Time for 20 oscillations of a pendulum is measured as t_(1)= 39.6 s, t_(2) = 39.9 s and t_(3) = 39.5 s . What is the precision in the measurements ? What is the accuracy of the measurement ?

The least count of a stop watch is (1//5)s . The time 20 oscillations of a pendulum is measured to be 25 s . The maximum percentage error in this measurement is

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is Is, then the reported mean time should be :

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

ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-2)(A)
  1. The 'rad' is the correct unit used to report the measurement of :

    Text Solution

    |

  2. To determine refractive index of glass slab using a travelling microsc...

    Text Solution

    |

  3. Two full turns of the circular scale of a screw gauge cover a distance...

    Text Solution

    |

  4. in an experiment the angles are required to be using an instrument, 29...

    Text Solution

    |

  5. In an optics experiment, with the position of the object fixed, a stud...

    Text Solution

    |

  6. The respective number of signficant figures for the numbers 23.023, 0...

    Text Solution

    |

  7. A screw gauge gives the following reading when used to measure the dia...

    Text Solution

    |

  8. A spectrometer gives the following reading when used to measure the an...

    Text Solution

    |

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

    Text Solution

    |

  10. The currect voltage relation of a diode is given by 1 = (e^(van v//T)...

    Text Solution

    |

  11. A student measured the length of a rod and wrote it as 3.50 cm. Which ...

    Text Solution

    |

  12. The period of oscillation of a simple pendulum is T = 2pisqrt(L//g). M...

    Text Solution

    |

  13. Diameter of a steel ball is measured using a Vernier callipers which h...

    Text Solution

    |

  14. A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divi...

    Text Solution

    |

  15. A student measures the time period of 100 ocillations of a simple pend...

    Text Solution

    |

  16. A thin 1m long rod has a radius of 5mm. A force of 50pi KN is applied ...

    Text Solution

    |