Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Units and Measurements question

2022 · Shift 2 · Q53
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Physics
  4. /Units and Measurements
  5. /2022 · Shift 2 · Q53

Units and Measurements question

2022 · Shift 2 · Q53

JEE AdvancedPhysicsUnits and MeasurementsMCQ+3 / −1

Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0.5 mm0.5 \mathrm{~mm}0.5 mm. The circular scale has 100 divisions and for one full rotation of the circular scale, the main scale shifts by two divisions. The measured readings are listed below.

Measurement condition Main scale reading Circular scale reading
Two arms of gauge touching
each other without wire		 0 division 4 divisions
Attempt-1: With wire 4 divisions 20 divisions
Attempt-2: With wire 4 divisions 16 divisions

What are the diameter and cross-sectional area of the wire measured using the screw gauge?

  1. A
    2.22±0.02 mm,π(1.23±0.02)mm22.22 \pm 0.02 \mathrm{~mm}, \pi(1.23 \pm 0.02) \mathrm{mm}^{2}2.22±0.02 mm,π(1.23±0.02)mm2
  2. B
    2.22±0.01 mm,π(1.23±0.01)mm22.22 \pm 0.01 \mathrm{~mm}, \pi(1.23 \pm 0.01) \mathrm{mm}^{2}2.22±0.01 mm,π(1.23±0.01)mm2
  3. C
    2.14±0.02 mm2.14 \pm 0.02 \mathrm{~mm}2.14±0.02 mm, π(1.14±0.02)mm2\pi(1.14 \pm 0.02) \mathrm{mm}^{2}π(1.14±0.02)mm2
  4. D
    2.14±0.01 mm,π(1.14±0.01)mm22.14 \pm 0.01 \mathrm{~mm}, \pi(1.14 \pm 0.01) \mathrm{mm}^{2}2.14±0.01 mm,π(1.14±0.01)mm2
PreviousNext

More from Units and Measurements

  • The smallest division on the main scale of a Vernier calipers is 0.1 cm. Ten divisions of the Vernier scale correspond to nine divisions of the main scale. The figure below on the left shows the reading of this calipers with no gap between… Includes diagram2021 · MCQ
  • A physical quantity S is defined as S=(E×B)/μ0​, where E is electric field, B is magnetic field and μ 0 is the…2021 · Multiple correct
  • Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows:…2020 · Multiple correct
  • Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, which of the following statement(s) is/are correct?2019 · Multiple correct
  • An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object…2019 · Numerical
  • If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the…2018 · MCQ
  • If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the…2018 · MCQ
  • A steel wire of diameter 0.5mm and Young's modulus 2×1011Nm−2 carries a load of mass M. The length of the wire with the load is 1.0m.A vernier scale with 10 divisions is attached to the end of this wire.…2018 · Numerical