Home
Class 11
PHYSICS
Calcualte the fractional error ((Deltax)...

Calcualte the fractional error `((Deltax)/x)`, if `x=a^(n)`,

A

`+-((Delta a)/a)^(n)`

B

`+-n((Delta a)/a)`

C

`+- n log_(e) (Deltaa)/a`

D

`+- n log (Deltaa)/a`

Text Solution

Verified by Experts

(b) `x=a^(n) :. (Deltax)/x =+-n (Deltaa)/a`
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION

    BITSAT GUIDE|Exercise All Questions|38 Videos
  • WAVE MOTION

    BITSAT GUIDE|Exercise BITSAT Archives|8 Videos

Similar Questions

Explore conceptually related problems

A physcial quantity x =a^2 b^(-3//2)/(c^4) has a relative error (Deltax)/(x) =2(Deltaa)/(a) - (3)/(2) (Deltab)/(b) -4(Deltac)/(c ) .is the statement correct?

If {x} denotes the fractional part of x, then {(3^(2n))/(8)},n in N, is

A physical quantity rho is calculated by using the formula rho =(1)/(10)(xy^(2))/(z^(1//3)) , where x, y and z are experimentally measured quantities. If the fractional error in the measurement of x, y and z are 2%, 1% and 3% , respectively, then the maximum fractional error in the calculation of rho is

As is known, the result of an experiment is calculated by performing mathematical operation (like addition, subtraction, multiplication, division, etc.) on several measurements, which have different degrees of accuracy. It has been established that (a) When x= a+b , Delta x = +- (Delta a + Delta b) (b) When x= a -b , Delta x = +- (Delta a + Deltab) (c ) When x = axxb , (Deltax)/(x) = +- ((Deltaa)/(a) +(Deltab)/(b)) (d) When x = (a)/(b) , (Deltax)/(x) = +-((Deltaa)/(a) + (Deltab)/(b)) Read the above paragraph and answer the following questions : (i) Why is absolute error in x = (a -b) , sun of the absolute error in a and b ? (ii) Why is fractional error in x=(a)/(b) , sun of fractional error in a and b ? (iii) What do you learn from this ?

If {x} denotes the fractional part of x then 30xx{(4^(2n))/(15)},n is equal to

Show that the maximum fractional error in the product of two quantities is equal to the sim of the fractional errors in the individual quantities.

What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g)) ? Given that fractional error in T and l are pm x and pm y respectively.

If y=x^(n), then the ratio of relative errors in y and x is (a)1:1 (b) 2:1 (c) 1:n (d) n:1

BITSAT GUIDE-UNITS, MEASUREMENTS & DIMENSION-All Questions
  1. In L-R circuit l=l(0)[1-e^(-t//lamda)] Here l= electric current in t...

    Text Solution

    |

  2. The energy of a photon depends upon Planck's constant and frequency of...

    Text Solution

    |

  3. If energy of photon is Eproph^(a)c^(b)lamda^(d). Here h= Planck's co...

    Text Solution

    |

  4. The radius of nucleus is r=r(0)A^(1//3), where A is mass number. The d...

    Text Solution

    |

  5. The power of lens is P=1/(f') where f is focal length of the lens. The...

    Text Solution

    |

  6. The dimensions of frequency is

    Text Solution

    |

  7. The dimensions of wavelength is

    Text Solution

    |

  8. The optical path difference is defined as Deltax=(2pi)/(lamda). What...

    Text Solution

    |

  9. The unit of intensity of a wave is W/(m^(2))? What are dimensions of i...

    Text Solution

    |

  10. Calcualte the fractional error ((Deltax)/x), if x=a^(n),

    Text Solution

    |

  11. The relation gives the value of 'x' x=(a^(3)b^(3))/(csqrt(d)) Find t...

    Text Solution

    |

  12. If edge lengths of a cuboid are measured to be 1.2cm, 1.5cm, and 1.8c...

    Text Solution

    |

  13. If the force is given by F=at+bt^(2) with t is time. The dimensions of...

    Text Solution

    |

  14. The dimensional formula for inductance is

    Text Solution

    |

  15. A cube has a side of length 1.2xx10^(-2)m. Calculate its volume

    Text Solution

    |

  16. The dimensions of the quantity hc (where h=h/(2pi)) is

    Text Solution

    |

  17. A resistor of 10kOmega has a tolerance of 10% and another resistor of ...

    Text Solution

    |

  18. In the releation p=(alpha)/(beta) e^(-)(az)/(ktheta), where p is the p...

    Text Solution

    |

  19. A physical quantity is given by X=[M^(a)L^(b)T^(c)]. The percentage er...

    Text Solution

    |

  20. Which of the following is not a unit of Young's modulus?

    Text Solution

    |