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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

In a screw gauge when the circular scale is given five complete rotations it moves linearly by \(2.5\) mm. If the circular scale has \(100\) divisions, the least count of screw gauge is _____ mm.

  1. A \(1 \times 10^{-2}\)
  2. B \(1 \times 10^{-3}\)
  3. C \(5 \times 10^{-2}\)
  4. D \(5 \times 10^{-3}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(5 \times 10^{-3}\)

Step-by-step Solution

Detailed explanation

Pitch of the screw gauge is the linear distance moved in one complete rotation. \(\text{Pitch} = \dfrac{2.5}{5} = 0.5 \text{ mm}\) Least count of the screw gauge is given by the ratio of the pitch to the total number of divisions on the circular scale.…
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