Home
Class 11
MATHS
If y= x^(n), then ratio of relative err...

If `y= x^(n)`, then ratio of relative errors in y and x is

A

`1:1`

B

`2:1`

C

`1:n`

D

`n:1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|12 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise EXERCISE - 5.1 (VERY SHORT ANSWER QUESTION)|17 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise EXERCISE-I|35 Videos
  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Assertion (A): If the length (l) of the simple pendulum is decreased by 4 % then decrease in its time period (T) is 2 % Reason (R) : If y=x^(n) , ratio of percentage errors in y and x is 1:n The correct answer is

The ratio of rates of diffusion of gases X and Y is 1 : 5 and that of Y and Z is 1 : 6. Then ratio of rates of diffusion Z and X is

If the relative error in the radius of a circle is 0.2 then the relative error in its area is

S = 1/2 at^2 where a is a constant. If relative error in measurement of t is y, relative error in measurment of S will be

Define relative error and percentage error.

The diameter x of a circle is found by measurement to be 5 cm with maximum error of 0.05 cm. The relative error in the area is

Show that the relative error in the n^(th) power of a number is 'n' times the relative error in that number

AAKASH SERIES-ERRORS AND APPROXIMATIONS-PRACTICE EXERCISE
  1. Approximate value of tan46^(@) is ( 1^(@)=0.01745 radians )

    Text Solution

    |

  2. Find approximate value of cos(60^(@)1^(1))

    Text Solution

    |

  3. If y= x^(n), then ratio of relative errors in y and x is

    Text Solution

    |

  4. If the radius of a circle is 2.1 cm, then the approximate area of the ...

    Text Solution

    |

  5. The diameter x of a circle is found by measurement to be 5 cm with max...

    Text Solution

    |

  6. If there is an error of 0.02 sq. cm is made in calculating the area of...

    Text Solution

    |

  7. A circular plate expands when heated from a radius of 5 cm to 5.06 cm....

    Text Solution

    |

  8. In measuring the circumference of a circle, there is an error of 0.05 ...

    Text Solution

    |

  9. If there is an error of 0.01 cm in the diameter of a sphere when its r...

    Text Solution

    |

  10. If there is a possible error of 0.02 cm in the measurement of the diam...

    Text Solution

    |

  11. The radius of a sphere is 5 cm. If an error of 0.02 cm is made in the ...

    Text Solution

    |

  12. If an error of (1/10)% is made in measuring the radius of a sphere, th...

    Text Solution

    |

  13. The approximate percentage error in the volume of a sphere is equal to

    Text Solution

    |

  14. If an error of 0.02 cm is made while measuring the radius 10 cms of a ...

    Text Solution

    |

  15. If ther is an error 0.01 cm in the measurement of the radius 10 cm of ...

    Text Solution

    |

  16. The radius and height of a cylinder are measured as 5 cm and 10 cm res...

    Text Solution

    |

  17. In measuring the radius and height of a cylinder as 5 cm, 10 cm there ...

    Text Solution

    |

  18. If the ratio of the base radius and height of a cone is 1 : 2 and perc...

    Text Solution

    |

  19. In a cube the percentage increase in the side is 1. The percentage inc...

    Text Solution

    |

  20. The percentage error in measuring the side of a cube is 0.5. Then the ...

    Text Solution

    |