Home
Class 11
PHYSICS
In an experiment, the values of refracti...

In an experiment, the values of refractive indices of glass were found to be `1.54, 1.53, 1.44, 1.54, 1.56` and `1.45` in successive measurements (i) mean value of refreactive index of glass (ii) mean absolute error (iii) relative error and (iv) percentage error are respectively.

A

`1.51,0.04,0.03%, 3%`

B

`1.51,0.4,0.03%, 3%`

C

`15.1,0.04,0.03%, 3%`

D

`1.51,0.4,0.3%, 3%`

Text Solution

Verified by Experts

The correct Answer is:
A

`mu_("mean") = (sum mu)/(6), Delta u_("mean") = (sum(mu_("mean") - mu))/(6)`,
relative `%` error in `mu = (Delta mu_("mean"))/(mu_("mean")) xx 100`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise Single Option Questions|12 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise More than One Answer Questions|9 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise LEVEL-II (C.W)|28 Videos
  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos
  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

In an experiment the refractive index of glass was observed to be 1.45 , 1.56 , 1.54 , 1.44 , 1.54 , and 1.53 . Calculate (a). Mean value of refractive index (b). Mean absolute error ( c ) Fractional error (d) Percentage error (e) Express the result in terms of absolute error and percentage error

In an experiment refractive index of glass was observed to be 1.45, 1.56, 1.54, 1.44, 1.54 and 1.53. The mean absolute error in the experiement is

The refractive index (n) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48. Calculate (i) the mean value of refractive index, (ii) absolute error in each measurement, (iii) mean absolute error, (iv) fractional error and (v) percentage error

The values of measurement of a physical quantity in five trails were found to be 1.51 , 1.53 , 1.53, 1.52 , and 1.54 .

The diameter of a wire as measured by a Screw gauge was found to be 1.328, 1.330, 1.325, 1.326, 1.334 and 1.336 cm. Calculate (i) mean value of diameter (ii) absolute error in each measurement (iii) mean absolute error (iv) fractional error (v) percentage error. Also, express the result in term of absolute error and percentage error.

In successive measurement, the reading of the period of oscillation of a simple pendulum were found to be 2.63s, 2.56s, 2.71s and 2.80s in an experiment. Calculate (i) mean value of the period oscillation (ii) absolute errer in each measurement (iii) mean absolute error (iv) releative error (v) percentage error and (vi) express the result in proper form.

The refractive index of water as measured by the relation mu = ("Real depth")/("Apparent depth") was found to have the values 1.29 , 1.33 , 1.34 , 1.35 , 1.32 , 1.36 , 1.30 , 1.33 . Calculate (i) mean value of mu (ii) mean value of absolute error (iii) relative error (iv) percentage error .

The diameter of a wire as measured by a screw gauge was found to be 0.026 cm, 0.028 cm, 0.029 cm, 0.027cm, 0.024cm and 0.027 cm. Calculate (i) mean value of diameter (ii) mean absoulte error (iii) relative error (iv) percentage error. Also express the result in terms of absolute error and percentage error.

The diameter of a wire as measured by screw gauge was found to be 2.620, 2.625, 2.630, 2.628 and 2.626 cm. Calculate (a) mean value of diameter (b) absolute error in each measurement (c) mean absolute error (d) fractional error (e) percentage error (d) (f) Express the result in terms of percentage error

NARAYNA-UNITS AND MEASUREMENTS-LEVEL-III
  1. A vernier calipers has 1mm marks on the main scale. It has 20 equal di...

    Text Solution

    |

  2. The resistance of metal is given by V = IR, The voltage in the resista...

    Text Solution

    |

  3. In an experiment, the values of refractive indices of glass were found...

    Text Solution

    |

  4. As student performs an experiment for determine of g[=(4pi^(2)L)/(T^...

    Text Solution

    |

  5. A recantanglar metal slab of mass 33.333 has its length 8.0cm, breath...

    Text Solution

    |

  6. The initial and final temperature are recorded as (40.6 +- 0.3)^(0)C a...

    Text Solution

    |

  7. In the measurement of a physical quantity X = (A^(2) B)/(C^(1//3) D^(...

    Text Solution

    |

  8. There are atomic (Cesium) clocks capable of measuring time with an ac...

    Text Solution

    |

  9. If the length of a simple pendulum is recorded as (90 +- 0.2)cm and pe...

    Text Solution

    |

  10. In the determination of the Young's modulus of a given wiere, the for...

    Text Solution

    |

  11. The radius (r), length (l) and resistance (x) of a thin wire are (0....

    Text Solution

    |

  12. When a current of (2.5 +- 0.5) ampere flows through a wire, it develop...

    Text Solution

    |

  13. Two objects A and B are of lengths 5cm and 7cm determined with errors ...

    Text Solution

    |

  14. In a sample pendulum experiment, length is measured as 31.4cm with an ...

    Text Solution

    |

  15. Three pieces of silver have masses 2.3kg, 41.15g and 30.19g. The toal ...

    Text Solution

    |

  16. The sum of the given two numbers with regard to significant figures is

    Text Solution

    |

  17. The dimensions of a wooden block are 1.1m xx 2.36m xx 3.1m. The number...

    Text Solution

    |

  18. In the relation P = (alpha)/(beta) e^(-alphaz//k theta),P is preesure,...

    Text Solution

    |

  19. The richardson equaction is given by I = AT^(2) e^(-B//kT). The dimens...

    Text Solution

    |

  20. The heat generated in a circuit is given by Q = I^(2) Rt , where I is ...

    Text Solution

    |