The whole length of a metre scale is divided into500 equal parts then the smallest measurementthat can be measured by using the scale is _______.(a) 0.5 m (b) 0.005 m(c) 50 mm (d) 2 mm
Question
The whole length of a metre scale is divided into500 equal parts then the smallest measurementthat can be measured by using the scale is _______.(a) 0.5 m (b) 0.005 m(c) 50 mm (d) 2 mm
Solution
To find the smallest measurement that can be measured using the scale, we need to determine the length of each division.
Given that the whole length of the meter scale is divided into 500 equal parts, we can calculate the length of each division by dividing the total length of the scale (1 meter) by the number of divisions (500).
Length of each division = 1 meter / 500 = 0.002 meters
Now, we need to convert this length into a more convenient unit.
Since 1 meter is equal to 1000 millimeters, we can convert the length of each division into millimeters by multiplying it by 1000.
Length of each division in millimeters = 0.002 meters * 1000 = 2 millimeters
Therefore, the smallest measurement that can be measured using the scale is 2 millimeters.
Hence, the correct answer is (d) 2 mm.
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