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प्रश्न
The thimble of a screw gauge has 50 divisions for one rotation. The spindle advances 1 mm when the screw is turned through two rotations.
- What is the pitch of the screw?
- What is the least count of screw gauge?
- When the screw gauge is used to measure the diameter of wire the reading on the sleeve is found to be 0.5 mm and reading on thimble is found, 27 divisions. What is the diameter of the wire in centimetres?
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उत्तर
Pitch of screw gauge is the distance moved by spindle in one revolution = 1/2 = 0.5 mm
(1) ∴ Pitch = 0.5 mm OR 0.05 cm
(2) The thimble of a screw gauge has 50 divisions for one rotation.
⇒ No. of circular scale divisions = 50
Least count (L.C.) = `"Pitch"/"No. of circular scale divisions"`
= `0.05/50` cm
= 0.001 cm
(3) Main scale reading = 0.5 mm = 0.05 cm
Circular scale reading = 27 div.
Diameter of wire = M.S. reading + L.C. × C.S. reading
= 0.05 + 0.001 × 27
= 0.05 + 0.027
Diameter of wire = 0.077 cm
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संबंधित प्रश्न
What is meant by zero error of vernier callipers ? How is it determined? Draw neat diagrams to explain it. How is it taken in account to get the correct measurement?
The final result of the calculation in an experiment is 125,347,200. Express the number in term of significant place when accuracy is between 1 and 10
(a) A vernier scale has 10 divisions. It slides over the main scale, whose pitch is 1.0 mm. If the number of divisions on the left hand of zero of the vernier scale on the main scale is 56 and the 8th vernier scale division coincides with the main scale, calculate the length in centimetres.
(b) If the above instrument has a negative error of 0.07 cm, calculate the corrected length.
What is the need for measuring length with vernier callipers?
The circular scale of a screw gauge has 50 divisions. Its spindle moves by 2 mm on the sleeve, when given four complete rotations calculate
- pitch
- least count
In the following figure, the pitch of the screw is 1 mm. Calculate:
(i) the least count of screw gauge and
(ii) the reading represented in the figure.
Consider the following case where the zero of vernier scale and the zero of the main scale are clearly seen. If L.C. of the vernier calipers is 0.01 cm, write the zero error and zero correction of the following.
How will you find the Zero Error of Vernier Caliper? Explain.
