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In a slide calipers, (m + 1) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is
  • a)
    d/(m+1) unit
  • b)
    d/m unit
  • c)
    md/(m+1) unit
  • d)
    (m+1)d/m unit
Correct answer is option 'D'. Can you explain this answer?
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Explanation:

Slide calipers:
Slide calipers are measuring instruments used to measure the dimensions of objects with high accuracy. They consist of a main scale and a sliding vernier scale. The main scale is fixed, while the vernier scale can slide along the main scale.

Vernier divisions and main scale divisions:
In a slide caliper, the vernier scale is divided into a certain number of divisions, denoted as (m - 1), where 'm' is the number of smallest main scale divisions. This means that there are m divisions on the main scale for every (m - 1) divisions on the vernier scale.

Smallest main scale division:
The smallest main scale division is denoted as 'd' and represents the smallest unit of measurement on the main scale. It is the distance between two consecutive main scale divisions.

Vernier constant:
The vernier constant is the difference between one main scale division and one vernier division. It is denoted as V and can be calculated using the formula:

V = (m * d) - ((m - 1) * d)

Simplifying the equation, we get:

V = (m - 1) * d

Magnitude of the vernier constant:
The magnitude of the vernier constant represents the value of the smallest unit of measurement on the vernier scale. It is equal to the smallest main scale division, which is 'd', divided by the number of vernier divisions, which is (m - 1).

Therefore, the magnitude of the vernier constant is given by:

d / (m - 1)

Correct answer:
The correct answer is option 'D': (m - 1) * d / m unit.
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In a slide calipers, (m + 1) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant isa)d/(m+1) unitb)d/m unitc)md/(m+1) unitd)(m+1)d/m unitCorrect answer is option 'D'. Can you explain this answer?
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