Least count of screw gauge is the distance by which the screw advances when it is rotated by one division on the circular scale.
Mathematically, it is given by
Least count =
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The least count of a stopwatch is 0.2 sec. The time period of 20 oscillations of a pendulum is measured to be 25.0 sec. What is the percentage error in this measurement?
The least count of stopwatch is = 0.2 s
Time period of 20 oscillations =
Percentage error in measurement =
= 0.8%
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What is the formula to find out the radius of curvature of a spherical surface?
Radius of curvature of a spherical surface is given by,
where,
l is average distance between the three fixed legs of spherometer, and
h is the height of the central screw above the plane surface.
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What is the least count of a screw gauge, whose circular scale is divided into 100 equal parts and the pitch of the screw is 1 mm?
Number of divisions on circular scale, N = 100 Pitch of screw gauge is, d = 1 mm
Least count =
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Two gold pieces weigh 20.15 g and 20.17 g. What is the difference in the masses of the pieces to correct significant figures?
Mass of first gold piece = 20.17 g Mass of second gold piece = 20.15 g
Difference in the masses of two pieces is,
Here, masses of pieces are known upto second decimal place.