Home
Class 12
PHYSICS
In an experiment the angle are required ...

In an experiment the angle are required to be measured using an instrument `29` divisions of the main scale exactly coinecide with the `30` divisions of the vernier scale. If the smallest division of the main scale is half-a-degree `(=0.5^(@))` then the least count of the instrument is

A

`1` minute

B

half minute

C

one degree

D

half degree

Text Solution

Verified by Experts

The correct Answer is:
A
Here `L.C=1S.D-1V.D=[1-(29)/(30)]S.D`
`=(1)/(30)xxS.D=(1)/(30)xx0.5^(@)=(1^(@))/(60)=1.`
`:.(a)` is the correct choice.
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 vernier calliper has 20 divisions on the vernier scale, which coincide with 19 on the main scale. The least count of the instrument is 0.1 mm. The main scale divisions are of :

A vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For the vernier calipers, the least count is :

A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading : 58.5 degree Vernier scale reading : 09 divisions Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data :

A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading : 0 mm Circular scale reading : 52 divisions Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. The diameter of wire from the above data is :

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further it is found that the screw gauge has a zero error of -0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale division in line with the main scale as 35. The diameter of the wire is

A galvanometer of resistance 50 Omega is connected to a battery of 3 V along with a resistance of 2950 Omega in series shows full-scale deflection of 30 divisions. The additional series resistance required to reduce the deflection to 20 divisions is

A pointer galvanometer with a scale of 30 divisions has a resistance of 12 Omega full scale deflection is obtained for a current of 3mA .Calculate the current sensitivity of the galvanometer .How will you convert this galvanometer into a voltage of range 0 to 18 V ?

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

    |