Home
Class 11
PHYSICS
Percentage erros in the measurement of m...

Percentage erros in the measurement of mass and speed are 2% and 3% respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will be:

A

0.11

B

0.08

C

0.05

D

0.01

Text Solution

Verified by Experts

The correct Answer is:
B

`K propmv^(2)rArr (DeltaK)/(K)=(Deltam)/(m)+(Deltav)/(v)`
& error in kinetic energy `= 2 + 2(3) = 8 %`
Promotional Banner

Topper's Solved these Questions

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(A)|16 Videos
  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos
  • ERROR AND MEASUREMENT

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

Percentage error in the measurement of mass and speed are 2% and 3% respectively. The error in the measurement of kinetic energy obtained by measuring mass and speed will be

Percentage error in the measurement of mass and speed are 2% and 3% respectively. The error in the measurement of kinetic energy obtained by measuring mass and speed will be

The percentage error in the measurement of mass and speed are 2% and 3% respectively. Maximum estimate of percentage error of K.E

Percentage errors in measurement of mass and speed are 1% and 2.5% respectively. The maximum percentage error in the calculation of linear momentum will be

If the error in the measurement of momentum of a particle is (+ 100%), then the error in the measurement of kinetic energy is

The resistance R of a wire is given by the relation R= (rhol)/( pir^(2)) . Percentage error in the measurement of rho, l and r is 1 % , 2% and 3% respectively. Then the percentage error in the measurement of R is

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

The error in the measurement of the radius of a sphere is 1%. The error in the measurement of volume is

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 -

If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

ALLEN-ERROR AND MEASUREMENT-Part-2(Exercise-1)
  1. The number of significant figures in 3400 is

    Text Solution

    |

  2. Percentage erros in the measurement of mass and speed are 2% and 3% re...

    Text Solution

    |

  3. The density of a cube is measured by measuring its mass and the length...

    Text Solution

    |

  4. An experiment measured quantity a, b, c and then x is calculated from ...

    Text Solution

    |

  5. If error in measuring diameter of a circle is 4 %, the error in the ra...

    Text Solution

    |

  6. If the percentage errors of A,B,and C are a, b, and c, respectively ,t...

    Text Solution

    |

  7. The diameter of a wire is measured with a screw gauge having least cou...

    Text Solution

    |

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

    Text Solution

    |

  9. A student measured the diameter of a wire using a screw gauge with lea...

    Text Solution

    |

  10. The pressure on a square plate is measured by measuring the force on t...

    Text Solution

    |

  11. When a copper sphere is heated, percentage change is

    Text Solution

    |

  12. In an experiment, the period of oscillation of a simple pendulum was o...

    Text Solution

    |

  13. The significant digits is 200.40 are

    Text Solution

    |

  14. A scientist performs an experiment in order to measure a certain physi...

    Text Solution

    |

  15. A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z). The ...

    Text Solution

    |

  16. If error in measuring diameter of a circle is 4 %, the error in the ra...

    Text Solution

    |

  17. A wire has a mass (0.3pm0.003)g, radius (0.5pm0.005) mm and length (0....

    Text Solution

    |

  18. The length of a cylinder is measured with a meter rod having least cou...

    Text Solution

    |

  19. The volume of a sphere is 1.76 m^3 What will be the volume of 25 such ...

    Text Solution

    |

  20. What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g...

    Text Solution

    |