Home
Class 11
PHYSICS
Measure of two quantites along with the ...

Measure of two quantites along with the precision of respective measuring instrument is `A = 2.5 ms^(-1) +- 0.5 ms^(-1)`
`B = 0.10 s +- 0.01s` The value of AB will be

A

`(0.25pm 0.08)m`

B

`(0.25pm 0.5)m`

C

`(0.25pm 0.05)m`

D

`(0.25pm 0.135)m`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `A= 2.5 ms^(-1) pm 0.5 ms^(-1)`
`B= 0.10s pm 0.01s`
Let X=AB
`=2.5xx0.10=0.25m`
Relative error `(triangleX)/(X)=(triangleA)/(A)+(triangleB)/(B)`
`=(0.5)/(2.5)+(0.01)/(0.10)`
`=0.2 +0.1=0.3`
`triangleX= 0.3xx X`
`=0.3xx0.25m= 0.075m`
`=0.08m` (2 significant figures)
`X=(0.25 pm 0.08)m`.
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise NCERT FILE (EXEMPLAR PROBLEMS SUBJECTIVE QUESTIONS)|17 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise HIGHER ORDER THINKING SKILLS & ADVANCED LEVEL|4 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise NCERT FILE (ADDITIONAL EXERCISES)|9 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

Measure of two quantities along with the precision of respective measuring instrument is A=2.5ms^(-1)+-0.5ms^(-1) ,B=0.10s+-0.01s . The value of AB will be

A person measures two quantities as A = 1.0 m +- 0.2 m ,B = 2.0 m +- 0.2 m We should report correct value for sqrt(AB) as

A rectangular carbon block has dimensions 1.0 " cm"xx1.0 " cm"xx50 " cm" . Resistance are measured , first across two square ends and then across two respectivelt . If resistivity of carbon is 3.5xx10^(-5)Omega -m , then values of measured resistance respectively are :

There are two damped oscilaltions with the following period T and damping coefficients beta: T_(1)=0.10 ms, beta_(1)=100 s^(-1) T_(2)=10 ms, beta=10 s^(-1) . Which of them decays faster ?

The angular momentum of the body of mass 0.1 kg moving with speed of 10 ms-1 at the shown instant about O is x kg m^2s^(-1) . Then the value of x is

Given A=[{:(1,0),(0,-1):}] and B=[{:(0,1),(1,0):}] Write the value of AB.

The length l , breadth b, and thickness t of a block of wood were measured with the help os a measuring scale. The results with permissible errors ( in cm) are l = 15.12 +-0.01, b = 10.15+-0.01 , and t = 5.28 +- 0.01 . The percentage error in volume up to proper significant figures is

The centripetal force acting on a body of mass m moving with speed v along a circular path of radius r is given by F = (mv^(2))/(r) If the values of m , v and r are measured as 0.5 kg , 10 ms^(-1) and 0.4 m respectively to the accuracies of 0.005 kg , 0.01 ms^(-1) and 0.01 m respectively , calculate the percentage error in the force acting on the body.

MODERN PUBLICATION-UNITS AND MEASUREMENT-NCERT FILE (EXEMPLAR PROBLEMS OBJECTIVE QUESTIONS)
  1. The number of significant figures in 0.06900 is

    Text Solution

    |

  2. The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...

    Text Solution

    |

  3. The mass and volume of a body are 4.237 g and 2.5cm^(3) respectively. ...

    Text Solution

    |

  4. The numbers 2.745 and 2.735 on rounding off to 3 significant figures w...

    Text Solution

    |

  5. The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, ...

    Text Solution

    |

  6. Which of the following pairs of physical quantites does not have same ...

    Text Solution

    |

  7. Measure of two quantites along with the precision of respective measur...

    Text Solution

    |

  8. A person measures two quantities as A = 1.0 m +- 0.2 m ,B = 2.0 m +- 0...

    Text Solution

    |

  9. which of the following measurements is most precise ?

    Text Solution

    |

  10. The mean length of an object is 5 cm. Which of the following measureme...

    Text Solution

    |

  11. The Young's modulus of steel is 1.9 xx 10^(11) Nm^(-2) . Calculate its...

    Text Solution

    |

  12. If momentum (p), area (A) and time(t) are taken to be fundamental quan...

    Text Solution

    |

  13. On the basis of dimensions, decide which of the following relation for...

    Text Solution

    |

  14. If P,Q,R are physical quantities, having different dimensions, which o...

    Text Solution

    |

  15. Photon is quantum of radiation with energy E =hv where v is frequency ...

    Text Solution

    |

  16. If Planck's constant (h) and speed of light in vacuum (c ) are taken ...

    Text Solution

    |

  17. Which of the following ratios express pressure?

    Text Solution

    |

  18. Which of the following are not a unit of time ?

    Text Solution

    |