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JEE Main 202226 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Evening Shift
Subject
Physics
Chapter
Experimental Physics

JEE Main 2022 · 26 July · Evening Shift · Physics · Experimental Physics

In a Vernier Caliper 10 divisions of Vernier scale is equal to the...

In a Vernier Caliper 1010 divisions of Vernier scale is equal to the 99 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and 4th{4}^{th} Vernier scale division exactly coincides with the main scale reading. One main scale division is equal to 1mm1mm. While measuring diameter of a spherical body, the body is held between two jaws. It is now observed that zero of the Vernier scale lies between 3030 and 3131 divisions of main scale reading and 6th{6}^{th} Vernier scale division exactly. coincides with the main scale reading. The diameter of the spherical body will be:

Options

  1. A3.02cm3 . 02cm
  2. B3.06cm3 . 06cm
  3. C3.10cm3 . 10cm
  4. D3.20cm3 . 20cm

Correct answer

C. 3.10cm3 . 10cm

Step-by-step solution

Given that 1M.S.D=1mm1M . S . D = 1mm

And 9M.S.D=10V.S.D9M . S . D = 10V . S . D

⇒1V.S.D=0.9M.S.D=0.9mm⇒ 1V . S . D = 0 . 9M . S . D = 0 . 9mm

L.C of vernier caliper =1−0.9=0.1mm=0.01cm= 1 - 0 . 9 = 0 . 1mm = 0 . 01cm

Zero error =(10−4)×0.1mm=0.6mm= \left(10 - 4\right) \times 0 . 1mm = 0 . 6mm as at zero the, the zero of the vernier is shifted towards left zero error is negative. Therefore, zero error=−0.6mm= - 0 . 6mm.

Reading =M.S.R+V.S.R−= M . S . R + V . S . R - Zero error

Reading=3+6×0.01−[−0.06]= 3 + 6 \times 0 . 01 - \left[- 0 . 06\right]

Reading=3+0.06+0.06= 3 + 0 . 06 + 0 . 06

Reading=3.12cm= 3 . 12cm

The closest option is 3.10cm3 . 10cm

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