Home
Class 12
PHYSICS
A student performs an experiment for det...

A student performs an experiment for determination of ` g [ = ( 4 pi^(2) L)/(T^(2)) ] , L ~~ 1m` , and he commits an error of `Delta L`. For `T` he takes the time of `n` oscillations with the stop watch of least count ` Delta T` . For which of the following data , the measurement of `g` will be most accurate ?

A

`{:(,Deltal,,DeltaT,,n,,"Amplitude of oscillation"),(,5mm,,0.2sec,,10,,5mm):}`

B

`{:(,Deltal,,DeltaT,,n,,"Amplitude of oscillation"),(,5mm,,0.2sec,,20,,5mm):}`

C

`{:(,Deltal,,DeltaT,,n,,"Amplitude of oscillation"),(,5mm,,0.1sec,,20,,1mm):}`

D

`{:(,Deltal,,DeltaT,,n,,"Amplitude of oscillation"),(,1mm,,0.1sec,,50,,1mm):}`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GMP ASSESMENT

    FIITJEE|Exercise Assertion & Reason|15 Videos
  • GMP ASSESMENT

    FIITJEE|Exercise Multiple Question|58 Videos
  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos
  • GENERAL PHYSICS

    FIITJEE|Exercise MATRIX MATCH TYPE|3 Videos
  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

Similar Questions

Explore conceptually related problems

As student performs an experiment for determine of g[=(4pi^(2)L)/(T^(2))]. L approx 1m , and has commits an error of Delta L for T he tajes the teime of n osciollations wityh the stop watch of least count Delta T . For which of the following data the measurement of g will be most accurate?

A student performs an experiment for determination of g = (4pi^(2)l)/(T^(2)) l ~~ 1m and the commits an error of ''Deltal' For T he takes the time of n osciilations with the stop watch of least count Deltat For which of the following data the measurement of g will be most accurate ? (a) DeltaL = 0.5 DeltaL = 0.1, n = 20 (B) DeltaL = 0.5 Deltat = 0.1, n = 50 (C) DeltaL = 0.5, Deltat = 0.02 n =20 (D) DeltaL = 0.1 Deltat = 0.05 n =50 .

A student performs an experiment for determination of g = (4pi^(2) l)/(T^2) and he commits an error of Delta l . For that he takes the time of n oscillations with the stop watch of least count Delta T and the commits a human error of 0.1 sec. For which of he following data, the measurement of g will be most accurate?

A student performs an experiment an for determination of g(=(4pi^(2)l)/(T^(2))) . The error in length l is Deltal and in time T is DeltaT and n is number of times the reading is taken. The measurment of g is most accurate for

The percentage error in determination fo g= 4pi^2(I)/(t^2), when I and t are measured with +- 1% and +- 2% errors is

To estimate g (from g = 4 pi^(2)(L)/(T^(2)) ), error in measurement of L is +- 2% and error in measurement of Tis +- 3% The error in estimated g will be

A student measures the value of g with the help of a simple pendulum using the formula g = (4pi^(2)L)/(T^(2)) . He measures length L with a meter scale having least count 1 mm and finds it 98.0 cm . The time period is measured with the help of a watch of least count 0.1s . The time of 20 oscillations is found to be 40.4 s. The error Deltag in the measurment of g is (" in" m//s^(2)) .

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

Calculate percentage error in the determination of g = 4pi^2 I//t^2, when I and t are measured with +- 2% and +- 3% errors respectively.

FIITJEE-GMP ASSESMENT-Objective problems
  1. An experiment measures quantities a, b, c and x the value of x is calc...

    Text Solution

    |

  2. A wire of length l = +- 0.06cm and radius r =0.5+-0.005 cm and mass m ...

    Text Solution

    |

  3. A student performs an experiment for determination of g [ = ( 4 pi^(2...

    Text Solution

    |

  4. Which of the following does not have the same dimension ?

    Text Solution

    |

  5. Two uniform solid cylinders A and B each of mass 1 kg are connected by...

    Text Solution

    |

  6. A person wants to drive on the vertical suirface of a large cylindrica...

    Text Solution

    |

  7. A force vecF=(3xy-5z)hatj+4zhatk is applied on a particle. The work do...

    Text Solution

    |

  8. Velocity of a body of mass 2kg moving in x-y plane is given by vecv=(2...

    Text Solution

    |

  9. velocity of a body of mass 2kg moving in x-y plane is given by vecv=(2...

    Text Solution

    |

  10. A block of mass sqrt(3)//10kg is placed on a rough horizontal surface ...

    Text Solution

    |

  11. Consider an infinite matrix of capacitors as shown in the figure. Th...

    Text Solution

    |

  12. Consider the circuit shown in the figure. Taking the potential to be z...

    Text Solution

    |

  13. A certain amount of a diatomic gas undergoes a certain polytropic proc...

    Text Solution

    |

  14. The figure shown the cross section of a long cylindrical conductor thr...

    Text Solution

    |

  15. A circular conducting loop of radius R carries a current I. Another st...

    Text Solution

    |

  16. Two parallel-plate capacitors with different distances between the pla...

    Text Solution

    |

  17. An RC circuit is made using five identical capacitors, each of which c...

    Text Solution

    |

  18. A sonometer wire has a length of 114 cm between its two fixed ends. Wh...

    Text Solution

    |

  19. A point mass m is displaced slightly from point O and released. It is ...

    Text Solution

    |

  20. A spherical shell is cut into two pieces along a chord and separated b...

    Text Solution

    |