a survey is conducted with a view to prepare the map of an area to a scale of 1:1000. if a scale with least count of 0.1 mm is used for a plotting what would be accuracy of length measurement in the field?
Answers
This question is more based on the Conceptual than the calculations.
When the least count of a measurement is 1cm, We say the measurement is accurate till 1 cm.
Here, Given The Scale being used is 1 : 1000.
It means that 1 meter would simply be a 1 Millimetre metre on the map.
In the same same way, We need to find a measurement which would be 0.1mm on the map.
1 unit - - - - - - - - - - > 1000 units
0. 1 mm - - - - - - - - - > x mm
By cross multiplying we get,
x = 1000 * 0. 1 mm = 100 mm = 10 cm
So, 100 mm in real would be 0.1 mm on the map.
Any thing less than 0.1 mm on map isn't really accurate. So in real, anything less than 100 mm is inaccurate.
So accuracy in the measurement of field if done using the prepared map will be accurate to 100mm or 10 cm.
Answer:
Logically, Here we need to focus one thing
Scale 1:1000 mean 1 mm in map is 1000 mm(or 1m) on ground
Since here it is saying a scale of Least count 0.1mm is used for plotting so accuracy for the *map*(Focus the word map not ground) measurement is 0.1mm .
So corresponding to .1mm on scale we have 0.1m( or100mm) on ground