Question 214: Units , Dimensions and Error Analysis

Question

In an experiment the angles are required to be measured using an instrument, 29 divisions of the
main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the
main scale is half-a degree(=$$0.5^\circ $$), then the least count of the instrument is:

Accepted Answer

30 vernier scale divisions coincide with 29 main scale divisions.
Therefore 1 V.S.D = $${{29} \over {30}}$$ M.S.D
Least count = 1 M.S.D - 1 V.S.D
= 1 M.S.D - $${{29} \over {30}}$$ M.S.D
= $${{1} \over {30}}$$ M.S.D
= $${{1} \over {30}}$$ $$ 	imes $$ 0.5
o
= $${{1} \over {30}}$$ $$ 	imes $$ $${1 \over 2}$$
o
= $${1 \over {60}}$$
o
= 1 min

Answer

one minute

Answer

half minute

Answer

one degree

Answer

half degree

Units , Dimensions and Error Analysis

In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a degree(=$0.5^\circ $), then the least count of the instrument is:

Choose the correct answer: