when is screw gauge of least count 0.01 mm is used to measure the diameter of a wire the reading on the sleeve is found to be 1 mm in the reading on thimble is found to be 27 divisions what is the diameter of the wire in centimetre if the zero error is + 0.005 what is the correct diameter
Answers
Answer:
Diameter of the wire is 1.265 mm
Explanation:
Total reading = reading on the sleeve + reading on the thimble
Reading on the sleeve = 1 mm
Reading on the thimble :
Given the least count as 0.01 mm it means :
1 division = 0.01 mm
The reading on the thimble scale is therefore = 27 × 0.01 =0.27mm
Total reading = 1 mm + 0.27 mm
= 1.27 mm
However we have a zero error of + 0.005 mm.
This means the scale begins at 0.005 mm and not 0.
The correct reading is therefore :
= 1.27mm - 0.005 mm = 1.265 mm
The correct diameter of the wire = 1.265 mm
Answer:
diameter of the wire = 0.127 cm
correct diameter = 0.122 cm
Explanation:
given, L.C. = 0.01mm
n = 27
M.S.R = 1 mm
Diameter of the wire = M.S.R + C.S.R
1 + n × L.C
1 + 27 × 0.001
1 × 0.27 = 1.27 mm
0.127 cm
correct diameter = observed diameter - zero error
0.127 - (+0.005)
0.122 cm