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Least count of a vernier calliper or travelling microscope from its scale divisions

This type of question, asked 10 times: 2021 Paper 5, 26 Jun 2022, 29 Jul 2022, 30 Jan 2024, 1 Feb 2024, 5 Apr 2024, 8 Apr 2024, 9 Apr 2024, 4 Apr 2025, 24 Jan 2026 S2. All 11 questions below, oldest first.

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  1. Question 1

    2021 Paper 5

    1
    One main scale division of a vernier callipers is ' aa ' cmcm and nth n^{\text{th~}} division of the vernier scale coincide with (n−1)th(n - 1)^{th} division of the main scale. The least count of the callipers in mmmm is:

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  2. Question 2

    26 Jun 2022

    27
    In a vernier callipers, each cmcm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with ninth main scale division. Then the value of vernier constant will be ____×10−2 mm\_\_\_\_\times10^{- 2}\text{ }mm.
  3. Question 3

    26 Jun 2022

    119
    A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm1\text{ }cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is ____×10−6 m\_\_\_\_\times10^{- 6}\text{ }m.
  4. Question 4

    29 Jul 2022

    19
    A travelling microscope has 20 divisions per cmcm on the main scale while its Vernier scale has total 50 divisions and 25 Vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?

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  5. Question 5

    30 Jan 2024

    91
    If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0.5 mm0.5\text{ }mm, the Vernier constant of travelling microscope is:

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  6. Question 6

    1 Feb 2024

    12
    10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is:

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  7. Question 7

    5 Apr 2024

    107
    A vernier callipers has 20 divisions on the vernier scale, which coincides with 19th 19^{\text{th~}} division on the main scale. The least count of the instrument is 0.1 mm0.1\text{ }mm. One main scale division is equal to _________ mmmm.

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  8. Question 8

    8 Apr 2024

    108
    Least count of a vernier caliper is 120 N cm\frac{1}{20\text{ }N}\text{ }cm. The value of one division on the main scale is 1 mm1\text{ }mm. Then the number of divisions of main scale that coincide with NN divisions of vernier scale is :

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  9. Question 9

    9 Apr 2024

    17
    One main scale division of a vernier caliper is equal to mm units. If nth n^{\text{th~}} division of main scale coincides with (n+1)th (n + 1)^{\text{th~}} division of vernier scale, the least count of the vernier caliper is:

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  10. Question 10

    4 Apr 2025

    88
    For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm . The vernier scale attached to the microscope has 25 divisions equals to 24 divisions of main scale. The least count (LC) of the travelling microscope is (in cm) :

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  11. Question 11

    24 Jan 2026 S2

    2
    In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division =0.05 mm= 0.05\text{ }mm, then the least count of the vernier callipers is ____\_\_\_\_ mm.

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