Home
Class 11
PHYSICS
The density of a cube is measured by mea...

The density of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurements of mass and length are 3% and 2% respectively. Then the maximum error in the measurement of density is :

A

`9%`

B

`19%`

C

`10%`

D

`90%`

Text Solution

Verified by Experts

The correct Answer is:
A

`d = (M)/(V) = (M)/(L^(3)), (Delta d)/(d) xx 100 = ((Delta M)/(M) + (3Delta L)/(L))100`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise ILLUSTRATION|49 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise ILLUSTRATIONS|12 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise LEVEL-I (H.W)|39 Videos
  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos
  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and lengths are 3% and 2% respectively, the maximum error in the measurement of density would be

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are 3% and 2% , respectively, then find the maximum error in the measurement of the density of cube.

The density of a cube is found by measuring its mass and the length of its side of the maximum errors in the measurement of mass and length are 0.3% and 0.2% respectively, the maximum error in the measurement of density is

The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in measurement of mass and diameter are 2% and 3% respectively then the maximum percentage error in the measurement of density is

The maximum possible error in a measurement

The pressure on a square plate is measured by measuring the force on the plate and the length of one side of the plate. The errors in the measurement of force and length are 3% and 2% respectively. The maximum error in the value of the pressure would be

NARAYNA-UNITS AND MEASUREMENTS-LEVEL-II (H.W)
  1. The error in the measurement fo length of a simple pendulum is 0.1% an...

    Text Solution

    |

  2. The length of a cyclinder is measured as 5 cm using a vernier calipe...

    Text Solution

    |

  3. The diameter of a wire as measured by a screw gauge was found to be 1....

    Text Solution

    |

  4. The number of particles is given by n = -D(n(2) - n(1))/( x(2) - x(1))...

    Text Solution

    |

  5. The external and internal diameter of a hollow cylinder are determine...

    Text Solution

    |

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

    Text Solution

    |

  7. The diameter of a sphere is 3.34 m. Calculate its volume with due rega...

    Text Solution

    |

  8. The length , breath and thickness of a metal sheet are 4.234m, 1.005m,...

    Text Solution

    |

  9. The sides of a rectangle are (10.5 +- 0.2) cm and ( 5.2 +- 0.1 ) cm. C...

    Text Solution

    |

  10. If the ratio of fundamental units in two systems are 2:3 the ratio of...

    Text Solution

    |

  11. If L, R , C , and V, respectively , represent inductance , resistance ...

    Text Solution

    |

  12. Hydrostatic pressure 'P' varies with displacement 'x' as P = (A)/(B) ...

    Text Solution

    |

  13. The units of force, velocity and energy are 100 "dyne", 10 cm s^(-1) ...

    Text Solution

    |

  14. The ratio of SI unit to CGS unti of gravitational constant of

    Text Solution

    |

  15. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  16. If the period 'T' of a drop under surface tension 's' is given by T =...

    Text Solution

    |

  17. If the velocity (V) , acceleration (A) , and force (F) are taken as fu...

    Text Solution

    |

  18. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

    Text Solution

    |

  19. The value fo x in the formula Y = (2mg l^(x))/(5bt^(3)e) where m is th...

    Text Solution

    |

  20. The velocity of sound in air (V) pressure (P) and density of air (d)...

    Text Solution

    |