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Assertion (A): Least count of all screw ...

Assertion (A): Least count of all screw based instruments is same.
Reason (R ): Least count for all screw based instruments are found using the ratio of pitch per division of circular scale.

A

Assertion is True, Reason is True, Reason is correct explanation for Assertion.

B

Assertion is True, Reason is True, Reason is not correct explanation for Assertion.

C

Assertion is True , Reason is False.

D

Assertion is False, Reason is True.

Text Solution

Verified by Experts

The correct Answer is:
D

Assertion is false since it depends on the scale used. Reason is true by concept
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Explore conceptually related problems

Write the expression for pitch and least count a screw gauge.

Pitch of the screw gauge is 0.5mm . Its head scale contains 50 divisions. The least count of it is

Knowledge Check

  • Assertion : A screw gauge having a smaller value of pitch has greater accuracy. Reason : The least count of screw gauge is directly proportional to the number of divisions on circular scale.

    A
    If both Assertion and Reason are correct and Reason is the correct explaination of Assertion.
    B
    If both Assertion and Reason are correct but Reason is not the correct explaination of Assertion.
    C
    If Assertion is true but Reason is false.
    D
    If Assertion is false but Reason is true.
  • Pitch of a screw gauge is 0.5 mm and its least count is .01 mm, Calculate no. of divisons on its circular scale.

    A
    100
    B
    25
    C
    50
    D
    None of these
  • The meehanism behind nut and bolt arrangement also works for screw gauge. In case of nut and bolt mechanism, with rotation of bolt, it has translational movement also. In one complete rotation of bolt, tip of bolt moves by a linear distance equal to linear distance between two consecutive threads on the screw, known as pitch in case of screw gauge, the circular scale is divided in several parths. The ratio of pitch and total number of divisions on circular scale is known as least count. Spherometer is a device used to measure very small distances such as radius of curvature and thicness of thin plate. The screw gauge can be used to meaure diameter of a spherical sample. A screw gauge has 100 divisions on head scale and in 8 rotations distance covered is 8 mm. Least count of given screw gauge is

    A
    0.08 mm
    B
    0.02 mm
    C
    0.01 mm
    D
    1 mm
  • Similar Questions

    Explore conceptually related problems

    The meehanism behind nut and bolt arrangement also works for screw gauge. In case of nut and bolt mechanism, with rotation of bolt, it has translational movement also. In one complete rotation of bolt, tip of bolt moves by a linear distance equal to linear distance between two consecutive threads on the screw, known as pitch in case of screw gauge, the circular scale is divided in several parths. The ratio of pitch and total number of divisions on circular scale is known as least count. Spherometer is a device used to measure very small distances such as radius of curvature and thicness of thin plate. The screw gauge can be used to meaure diameter of a spherical sample. A screw gauge has 100 divisions on head scale and in 8 rotations distance covered is 8 mm. A screw gauge has which of the following characteristics ?

    Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is 5 mm and there are 50 total divisions on circular scale, then least count is 0.001 cm. Reason R : Least Count = ("Pitch")/("Total divisionson circular scale") In the light of the above statements, choose the most appropriate answer from the options given below :

    The least count of a screw gauge is 0.005mm and it has 100 equal divisions on its head scale. Then the distance between two consecutive threads on its screw is

    A screw gauge has 1.0mm pitch and 200 divisions on the ciruclar scale. The least count of the instrument is

    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