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The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 × 10–3 are

  • 5,1,2

  • 5,1,5

  • 5,5,2

  • 5,5,2


A.

5,1,2

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Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of − 0.03 mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is 

  • 3.32 mm

  • 3.73 mm

  • 3.67 mm

  • 3.67 mm


D.

3.67 mm

Diameter = M.S.R. + C.S.R × L.C. + Z.E.
= 3 + 35 × (0.5/50) + 0.03 = 3.38 mm 

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In an experiment, the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half–a–degree (= 0.5o° ), then the least count of the instrument is

  • one minute

  • half minute

  • One degree

  • One degree


A.

one minute

1VSD = 29/30 MSD
L.C. = 1 MSD – 1 VSD
= 1/30 MSD
1 over 30 space straight x 0.5 space equals space 1 over 60 space space equals space one space minute

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Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of − 0.03 mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is

  • 3.32 mm 

  • 3.73 mm

  • 3.67 mm

  • 3.67 mm


D.

3.67 mm

Diameter = M.S.R. + C.S.R × L.C. + Z.E.
= 3 + 35 × (0.5/50) + 0.03
= 3.38 mm

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The dimension of magnetic field in M, L, T and C (Coulomb) is given as

  • MLT−1C−1

  • MT2C−2

  • MT−1C−1

  • MT−1C−1


C.

MT−1C−1

F = qvB
B = F/qv
= MC−1 T−1

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