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The pitch of a screw gauge is 1 mm, there are 100 divisions in circular scale and each main scale division is of 1 mm. When there is no gap between the jaws, 97th division coincides with the main scale zero and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 mm mark and 4 mm mark such that the 76th division of circular scale coincides with the reference line, the diameter of the ball (in mm) is?
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The pitch of a screw gauge is 1 mm, there are 100 divisions in circula...
Problem: Finding the diameter of a ball using screw gauge.

Given:
- Pitch of screw gauge = 1 mm
- 100 divisions in circular scale
- Each main scale division = 1 mm
- No gap between the jaws, 97th division coincides with the main scale zero
- Circular scale between 3mm and 4mm mark
- 76th division of circular scale coincides with the reference line

Solution:
To find the diameter of the ball using screw gauge, we will use the formula for least count of screw gauge.

Least count of screw gauge = Pitch / Total number of divisions on circular scale
Least count of screw gauge = 1/100 = 0.01mm

Now, we will find the reading of screw gauge when there is no gap between the jaws.

Reading of screw gauge = Main scale reading + (Circular scale reading x Least count)
Reading of screw gauge = 0.97 mm

As per the given information, the circular scale is between 3mm and 4mm mark and the 76th division of circular scale coincides with the reference line. Therefore, the circular scale reading will be 3.75 mm.

Now, we will calculate the diameter of the ball.

Diameter of ball = Main scale reading + (Circular scale reading x Least count) - (Zero error)
Zero error = Reading of screw gauge when there is no gap between the jaws
Diameter of ball = 3 mm + (0.75 mm x 0.01 mm) - 0.97 mm
Diameter of ball = 2.78 mm

Therefore, the diameter of the ball is 2.78 mm.

Answer: The diameter of the ball is 2.78 mm.
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The pitch of a screw gauge is 1 mm, there are 100 divisions in circular scale and each main scale division is of 1 mm. When there is no gap between the jaws, 97th division coincides with the main scale zero and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 mm mark and 4 mm mark such that the 76th division of circular scale coincides with the reference line, the diameter of the ball (in mm) is?
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The pitch of a screw gauge is 1 mm, there are 100 divisions in circular scale and each main scale division is of 1 mm. When there is no gap between the jaws, 97th division coincides with the main scale zero and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 mm mark and 4 mm mark such that the 76th division of circular scale coincides with the reference line, the diameter of the ball (in mm) is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The pitch of a screw gauge is 1 mm, there are 100 divisions in circular scale and each main scale division is of 1 mm. When there is no gap between the jaws, 97th division coincides with the main scale zero and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 mm mark and 4 mm mark such that the 76th division of circular scale coincides with the reference line, the diameter of the ball (in mm) is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pitch of a screw gauge is 1 mm, there are 100 divisions in circular scale and each main scale division is of 1 mm. When there is no gap between the jaws, 97th division coincides with the main scale zero and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 mm mark and 4 mm mark such that the 76th division of circular scale coincides with the reference line, the diameter of the ball (in mm) is?.
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