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प्रश्न
Define the least count of vernier callipers. How do you determine it?
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उत्तर
The least count of vernier callipers is equal to the difference between the values of one main scale division and one vernier scale division.
Let n divisions on vernier callipers be of length equal to that of (n - 1) divisions on the main scale and the value of 1 main scale division be x. Then,
Value of n divisions on vernier = (n - 1) x
Alternatively, value of 1 division on vernier = `((n - 1)"x")/n`
Least count = `x - ((n - 1)"x")/n = x/n`
L.C. = `"(Value of one main scale division)"/"(Total no. of divisions on vernier callipers)"`
Value of one main scale division = 1 mm
Total no. of divisions on vernier = 10
Therefore, L.C. = `(1 "mm")/10` = 0.1 mm = 0.01 cm
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संबंधित प्रश्न
Name the part of the vernier callipers which is used to measure the following
Thickness of a pencil.
A screw gauge has 50 divisions on its circular scale and its screw moves by 1 mm on turning it by two revolutions. When the flat end of the screw is in contact with the stud, the zero of the circular scale lies below the base line and 4th division of the circular scale is in line with the base line. Find
(i) The pitch,
(ii) The least count and
(iii) The zero error of the screw gauge
State the formula for calculating length if:
The reading of the main scale is known and the number of vernier scale divisions coinciding with the main scale is known.
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
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?
State the formula for calculating the least count of screw.
Name the measuring employed to measure the thickness of a paper.
State whether the following statement is true or false by writing T/F against it.
The least count of a screw gauge can be lowered by increasing the number of divisions on its thimble.
On a vernier calliper, 25 vernier scale divisions are equal in length to 24 main scale divisions. One main scale division is 1 mm. Find the least count of the instrument.
