Home
Class 12
PHYSICS
N divisions on the main scale of a ver...

N divisions on the main scale of a vernier calipers coincide with (N +1) division of the vernier scale. If each division of main scale is a units, then the least count of the calipers is :

A

`(a)/(N)`

B

a

C

`(a)/(N+1)`

D

`(Na)/(N+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given , N divisions of main scale,
`N_("MSD")= (N+1)` divisions of vernier scale `(N+1)_("VSD") `
`rArr` value of of 1 VSD ` = (N)/(N+1)` MSD
Least count of vernier calipers , LC = 1 MSD - 1 VSD
`1 MSD-(N)/(N+1) MSD`
`= ((N +1 - N)/(N+1))MSD = ((1)/(N+1))MSD`
or `LC = (a)/(N+1)" "` (Given, 1 MSD = a)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Physics|37 Videos

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise PHYSICS|39 Videos

Similar Questions

Explore conceptually related problems

N divisions on the main scale of a vernier callipers coincide with (N + 1) divisions on the vernier scale. If each division on the main scale is 'a' units, then the least count of the instrument is

The main scale of vernier callipers has 10 equal divisions in 1 cm and 10 vernier scale divisions coincide with 9 main scale divisions, when both the jaws are in contact. Now, the above instrument is used to measure the external diameter of a cylinder. The 43rd division on the main scale is observed to the left of the zero of the vernier, when the object is held tightly in between the two jaws and the seventh division of the vernier coinsides with a division on the main scale, then

Knowledge Check

  • In vernier callipers, m divisions of main scale with (m+1) divisions of vernier scale. If each division of main scale is d units, the least count of the instrument is

    A
    `d//(m-1)`
    B
    `d//(m+1)`
    C
    `d//m`
    D
    `md//(m+1)`

  • In vernier callipers, m divisions of main scale with (m + 1) divisions of vernier scale. If each division of main scale is d units, the least count of the instrument is

    A
    `d//(m - 1)`
    B
    `d//(m + 1)`
    C
    `d//m`
    D
    `md//(m + 1)`

  • In vernir callipers, m divisions of main scale with (m+1) divisions of vernier scale. If each division of main scale is d units, the least count of the instrument is

    A
    `d//(m-1)`
    B
    d/(m+1)
    C
    d/m
    D
    md/(m+1)

    • Similar Questions

    Explore conceptually related problems

    In an experiment, the angle are required to be measured using an instrument. 29 divisions of the main scale coincide with 30 divisions of the vernier scale. If the smallest division on the main scale is half a degree (0.5^(0)) , then the least count of the instument is

    1 cm on the main scale of a vernier callipers if divided into 10 equal parts. If 10 divisions on the vernier scale coincides with 8 small divisions the main scale, then the least count of the callipers is

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

    The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that zero of the vernier lies in between 5.10 cm and 5.15 cm of the main scale. The vernier has 50 divisions equivalent to 2.45 cm. The 24th division of the main scale exactly coincides with one of the main scale divisions. the diameter of the cylinder is

    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 this vernier calipers the least count,is

    Home
    Profile