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Physics

Assertion (A) : The least count of a screw gauge can be decreased by increasing the pitch and decreasing the total number of divisions on circular scale.

Reason (R) : Least count of screw gauge is directly proportional to pitch of the screw gauge.

  1. both A and R are true and R is the correct explanation of A
  2. both A and R are true and R is not the correct explanation of A
  3. assertion is false but reason is true
  4. assertion is true but reason is false

Measurements

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Answer

assertion is false but reason is true

Explanation

Assertion (A) is false because the least count (LC) of a screw gauge is given by :

LC=PitchNo. of divs on circular scale\text {LC}= \dfrac{\text {Pitch}}{\text {No. of divs on circular scale}} ​ So, to decrease the least count for better precision, pitch should be decreased and number of divisions should be increased

Reason (R) is true because from the formula above, least count is directly proportional to pitch, provided the number of divisions remains the same.

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