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The density of a solid ball is determined in an experiment the diameter of ball is measured with a screw gauge whose pitch is 0.5 mm and there are 50 divisions on the circular scale. the reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions if the measured mass of the ball has a relative error of 2% the relative percentage error in density is?
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Answer:
Where least count is L.C the pitch is P and the circular scale division is C.S.D. The circular scale division reading is 20 and the relative error in percentage is 2%. The diameter of the ball will be equal to the screw gauge reading.
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