Home
Class 12
PHYSICS
The length l, breadth b and thickness t ...

The length `l`, breadth `b` and thickness `t` of a block of wood were measured with the help of a metre scale. The results after calculating the errors are given as
`l=15*12+-0*01cm, b=10*15+-0*01cm`
`t=5*28+-0*01cm.` The percentage error in volume upto proper significant figure is :

A

`0.28%`

B

`0.36%`

C

`0.48%`

D

`0.65%`

Text Solution

Verified by Experts

The correct Answer is:
B
Percentage error in volume`=(0.01)/(15.12)xx100+(0.01)/(10.15)xx100+(0.01)/(5.28)xx100`
`=0.07+0.10+0.19=0.36`
Hence `(b)` is correct.
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-III)|6 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • UNIT TEST PAPER NO.4

    MODERN PUBLICATION|Exercise MCQ|31 Videos

  • WAVE MOTION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

A wire has mass m=0.3+-0*003g, radius r=0*5+-0*005mm and length l=6+-0*06cm. The maximum percentage error in the measurement of its density is :

The length , breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the area and volume of the sheet to correct significant figures.

In the determination of resistance R is calculated from R =V//I where V is the reading of the voltmeter and I is the reading of the ammeter. The values obtained are V = 10 pm 0.2 V and I = 0.5 pm 0.01 A. The maximum percentage error in the measurement of resistance is

The density 'rho' of a piece of metal of mass 'm' and volume 'V' is given by the formula rho = m//V . If m = 375.32 pm 0.01 g , V = 136.41 pm 0.01 cm ^ 3 . Find the percentage error in the measurement of density 'rho' .

A convex lens has mean focal length of 15 cm. The dispersive power of the material of prism is 0.01. What is the longitudinal chromatic aberration for the lens ?

A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid depressions are 15 cm by 10 cm 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4cm . Find the volume of wood in the entire stand ( see fig ).

The thickness of a filament wire is 0.15 mm and length 10 cm. The filament ts heated to incandescence at 2000K. Calculate the energy radiated per second. If the power rating of the bulb is 40W, then calculate the relative emittance or surface emissivity.

A wire in the form of a circular loop of radius 10 cm lies in a plane normal to a magnetic field of 100 T. If the wire is pulled to take a square shape in the same plane in 0.1s, find the average induced e.m.f. in loop

A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5.0 A, what is the (a) total torque on the coil, (b) total force on the coil, (c) average force on each electron in the coil due to the magnetic field? (The coil is made of copper wire of cross-sectional area 10^(-5) m^2 , and the free electron density in copper is given to be about 10^29 m^(-3) .)

MODERN PUBLICATION-UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS-Multiple Choice Questions (Level-II)
  1. If w,x,y and z are mass, length, time and current respectively, then (...

    Text Solution

    |

  2. The volume of a cube in m^(3) is numerically equal to its surface area...

    Text Solution

    |

  3. If the velocity of light c, Planck's constant h and gravitation consta...

    Text Solution

    |

  4. If force =(X)/(density)+C is dimensionally correct, the dimensions of ...

    Text Solution

    |

  5. The length l, breadth b and thickness t of a block of wood were measur...

    Text Solution

    |

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

    Text Solution

    |

  7. If the error in the measurement of momentum of a particle is (+100%), ...

    Text Solution

    |

  8. In the integral int(dx)/(2ax-x^(2))^(1//2)=ansin^(-1)((x)/(a)-1), the ...

    Text Solution

    |

  9. If C is the restoring couple per unit radian twist and I is the moment...

    Text Solution

    |

  10. A vernier calliper has 20 divisions on the vernier scale, which coinci...

    Text Solution

    |

  11. The heat generated in a circuit is given by Q=I^(2)Rt, where I is curr...

    Text Solution

    |

  12. The dimensions of the quantities in one of the following pairs are the...

    Text Solution

    |

  13. Which of the following is the SI unit of poynting vector ?

    Text Solution

    |

  14. If x=(epsilon(0)lV)/(t) where epsilon(0) is permittivity of free space...

    Text Solution

    |

  15. The physical quantities not having same dimensions are :

    Text Solution

    |

  16. A cube has a side of length 1*2xx10^(-2)m.

    Text Solution

    |

  17. In the relation P=(alpha)/(beta)e^(-alpha z//ktheta) where {:(P="pre...

    Text Solution

    |

  18. A wire has mass m=0.3+-0*003g, radius r=0*5+-0*005mm and length l=6+-0...

    Text Solution

    |

  19. The dimensions of magnetic field in M,LC ( Coulomb) are given by :

    Text Solution

    |

  20. In an experiment the angle are required to be measured using an instru...

    Text Solution

    |