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A screw gauge has a pitch of 0.5 mm, and...

A screw gauge has a pitch of 0.5 mm, and has 50 divisions on its circular scale. Its linear and circular scale readings are respectively 2 mm and 25 when the diameter of a sphere is measured by the gauge. The result of this measurement is

A

1.2 mm

B

1.25 mm

C

2.20 mm

D

2.25 mm

Text Solution

Verified by Experts

The correct Answer is:
D
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A screw gauge of pitch 1.0 mm has 200 divisions on its circular scale. Find out its least count.

The circular scale of screw gauge after two complete rotations advances 1 mm along the linear scale. The circular scale has 50 equal divisions and the mechanical error of the screw gauge is -0.03 mm . The linear scale reading =3 mm and the circular scale reading =35 when a student attempts to measure the diameter of a wire. Calculate the diameter from the given data.

Knowledge Check

  • The two angles of triangle are respectively (2pi)/5 and 8^@ . The circular measure of its third angle is

    A
    `5/9 pi`
    B
    `2/5 pi`
    C
    `9/5 pi`
    D
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  • A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminum. Before starting the measurement it is found that when the two jaws of the screw gauge are brought in contact the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line?

    A
    0.75 mm
    B
    0.80 mm
    C
    0.70 mm
    D
    0.50 mm

  • Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale .In the Vernier callipers ,5 divisions of the Vernier scale coincide with 4 divisions on the main scale and in the screw gauge ,one complete rotation of the circular scale moves it by two divisions on the linear scale .Then

    A
    If the pitch of the screw gauge is twice he least count of the Vernier calipers ,the least count of the screw gauge is 0.01 mm.
    B
    If the pitch of the screw gauge is twice he least count of the Vernier calipers ,the least count of the screw gauge is 0.005 mm.
    C
    If the pitch of the screw gauge is twice he least count of the Vernier calipers ,the least count of the screw gauge is 0.01 mm.
    D
    If the pitch of the screw gauge is twice he least count of the Vernier calipers ,the least count of the screw gauge is 0.005 mm.

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    The circular scale of screw gauge has 100 equal divisions. Its screw pitch is 1 mm. This gauge measures the diameter of a wire of length 5.6 cm. The main scale and the circular scale readings are observed to be 1 mm and 47 respectively. Calculate the area in cm^(2) of the curved surface of the wire keeping the significant figures only.

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