Home
Class 12
MATHS
An analytic balance has uncertainty in m...

An analytic balance has uncertainty in measurement equal to `+- 1 mg`. Then report the result in terms of percentage if the weight of a compound is
a. `1 g` b. `10 g` c. `100 g`

A

one roots is less than 0, the is posititve, the other is negative.

B

exactly one of the roots lies in (0,1)

C

both the roots lie in (0,1)

D

at least one of the roots lies in (0,1)

Text Solution

Verified by Experts

The correct Answer is:
1

`af(1) lt 0 and f(0) f(1) gt 0`
`rArr af(1) lt 0 and af(0) lt 0`
Hence, both the numbers 0 and 1 lie between the roots.
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|6 Videos
  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise NUMERICAL VALUE TYPE|43 Videos
  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise Multiple Correct Answer Type|38 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise ARCHIVES (NUMERICAL VALUE TYPE)|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise All Questions|294 Videos

Similar Questions

Explore conceptually related problems

An analytical balance has uncertainity in measurement equal to pm1 mg. Then the result in terms of persentage would be if the weight of a compound is 10 g

If the uncertainty in velocity of electron is 1*10^7 ms^-1 then the uncertainty in position of electron will be (mass of an electron is 9 *10^-28 g)

Find the concentration of solution in terms of weight percent if 10g of common salt is dissolved in 50g of water..

if 1 g of steam is mixed with 1 g of ice, then the resultant temperature of the mixture is

The measurement of the electron position is associated with an uncertainty in momentum, which is equal to 1 xx 10^-18 g cm s^-1 . The uncertainty in electron velocity is (mass of an electron is 9 xx 10^-28 g )

0.132 g of an organic compound gave 50 ml of N_ 2 at STP. The weight percentage of nitrogen in the compound is close to

Calculate the weight of : 10.0 g atoms of sodium.

10 g of sucrose are dissoled in 100 g of water. Find the mass percentage of sucrose in the solution.

100g ice at 0^(@)C is mixed with 100g water at 100^(@)C . The resultant temperature of the mixture is

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

CENGAGE ENGLISH-THEORY OF EQUATIONS-Linked Comprechension Type
  1. Consider the quadrationax^(2) - bx + c =0,a,b,c in N which has two di...

    Text Solution

    |

  2. Consider the inequation x^(2) + x + a - 9 < 0 The values of the re...

    Text Solution

    |

  3. Consider the inequation x^(2) + x + a - 9 lt 0 The values of the re...

    Text Solution

    |

  4. Consider the inequation x^(2) + x + a - 9 lt 0 The value of the pa...

    Text Solution

    |

  5. Consider the inequation 9^(x) -a3^(x) - a+ 3 le 0, where a is real p...

    Text Solution

    |

  6. Consider the inequality 9^(x)-a*3^(x)-a+3le0, where a is a real parame...

    Text Solution

    |

  7. Consider the inequality 9^(x)-a*3^(x)-a+3le0, where a is a real parame...

    Text Solution

    |

  8. (af(mu) lt 0) is the necessary and sufficient condition for a particu...

    Text Solution

    |

  9. An analytic balance has uncertainty in measurement equal to +- 1 mg. T...

    Text Solution

    |

  10. (af(mu) lt 0) is the necessary and sufficient condition for a particu...

    Text Solution

    |

  11. Given |px^(2) + qx + r| le |Px^(2) + Qx + R|AA x in R and d=q^(2) - 4...

    Text Solution

    |

  12. If (x+2) is a common factor of (px^2+qx+r) and (qx^2+px+r) then (a) ...

    Text Solution

    |

  13. Consider the equation x^(4) + 2ax^(3) + x^(2)+2ax + 1 =0, where a in R...

    Text Solution

    |

  14. Consider the equation x^(4) + 2ax^(3) + x^(2)+2ax + 1 =0, where a in R...

    Text Solution

    |

  15. Consider the equation x^4 + 2ax^3 + x^2 + 2ax + 1 = 0 where a in R. Al...

    Text Solution

    |

  16. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  17. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  18. If the equation x^4- λx^2+9=0 has four real and distinct roots, th...

    Text Solution

    |

  19. If the equation has no real root, then lamda lies in the interval

    Text Solution

    |

  20. If the equation x^4 -λx^2 +9 has only two real roods, then the set of ...

    Text Solution

    |