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If of resistance is made by connecting four resistances of tolerance in series, then the tolerance of the combination is:

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Important Questions on Units and Measurement
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A vernier caliper has marks on the main scale. It has equal divisions on the vernier scale which match with the main scale divisions. For this vernier caliper, the least count is:

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The pitch of a screw gauge having divisions on its circular scale is . When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies divisions below the line of graduation. When a wire is placed between the jaws, linear scale divisions are clearly visible while the division on the circular scale coincides with the reference line. The diameter of the wire is:

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When the gap is closed without placing any object in the screw gauge whose least count is the division on its circular scale coincides with the reference line on the main scale, and when a small sphere is placed, the reading on the main scale advances by divisions, whereas circular scale reading advances by five times to the corresponding reading when no object was placed. There are divisions on the circular scale. The radius of the sphere is:

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In a vernier caliper, divisions of vernier scale coincide with divisions of the main scale (in which one division represents ). The vernier constant (in ) is:

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The pitch of a screw gauge is and there are divisions on its circular scale. The instrument reads divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are divisions on the main scale and divisions coincide with the reference line. Then the diameter of the wire is:

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The smallest division on the main scale of a vernier caliper is , and vernier divisions coincide with main scale divisions. While measuring the diameter of a sphere, the zero mark of the vernier scale lies between and and the fifth division of the vernier scale coincides with a scale division. The diameter of the sphere is,

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Two full turns of the circular scale of a screw gauge cover a distance of on its main scale. The total number of divisions on the circular scale is . Further, it is found that the screw gauge has a zero error of . While measuring the diameter of a thin wire, a student noted the main scale reading as and the number of circular scale divisions in line with the main scale as . The diameter of the wire is,

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Find the thickness of the cubical object using the defective vernier caliper. The main scale has marks and divisions of vernier scale coincide with divisions of main scale.
