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The least count of a screw gauge is ...

The least count of a screw gauge is 0.005 cm . The diameter of wire is 0.002 cm as measured by it. The perecentage error in measurement is

A

0.25

B

0.2

C

0.15

D

0.05

Text Solution

Verified by Experts

The correct Answer is:
a
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What is the least count of a standard screw gauge

While performing Searle's experiment, a weight of 50N is suspended from a wire. The extension produced is 0.121cm and is measured by a micrometer of least count 0.001cm . The diameter of the wire is 0.700cm , measured by a screw gauge of least count 0.001cm . The length is 100 cm measured with the help of scale of least count 0.1 cm. Calculate the young's modulus of material of wire, given by Y=(FL)/(Al) where F is weight, L is length of wire, A is area of wire and l is extension produced.

Knowledge Check

  • The least count of a screw gauge is defined as

    A
    `"distance moved by thimble on main scale"/"number of rotation of thimble"`
    B
    `"pitch of the screw"/"number of divisions on circular scale"`
    C
    `"number of rotation of thimble"/"number of circular scale divisions"`
    D
    None of the above
  • Least count of screw gauge is defined as.

    A
    `("distance moved by thimble on main scale")/("number of rotation of thimble")`
    B
    `("pitch of the screw") /(" number of divisions on circular scale")`
    C
    `("number of rotation of thimble") /(" number of circular scale divisions")`
    D
    None of the above.
  • The least count of screw gauge is (1)/(100)mm and the pitch of the screw is 1mm . The maximum percentage error of the instrument is

    A
    `5%`
    B
    `2%`
    C
    `1%`
    D
    `10%`
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