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The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is
- a)5.112 cm
- b)5.124 cm
- c)5.136 cm
- d)5.148 cm
Correct answer is option 'B'. Can you explain this answer?
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The diameter of a cylinder is measured using a Vernier callipers with ...
Given data:
- The zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale.
- The Vernier scale has 50 divisions equivalent to 2.45 cm.
- The 24th division of the Vernier scale exactly coincides with one of the main scale divisions.
To find:
The diameter of the cylinder.
Solution:
Step 1: Understanding the Vernier Scale
- The Vernier scale is a measuring instrument that provides a more precise measurement than a regular scale.
- It consists of a main scale and a Vernier scale.
- The main scale is divided into centimeters (cm) and millimeters (mm).
- The Vernier scale is divided into smaller divisions that are slightly smaller than the divisions on the main scale.
- The Vernier scale is used to measure the difference between two adjacent main scale divisions.
Step 2: Finding the Value of One Vernier Scale Division
- The Vernier scale has 50 divisions equivalent to 2.45 cm.
- Therefore, one Vernier scale division is equal to 2.45 cm / 50 = 0.049 cm.
Step 3: Finding the Zero Error
- The zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale.
- This means that the zero of the Vernier scale is offset from the zero of the main scale by a value between 0.10 cm and 0.15 cm.
- Since there is no zero error, this offset should be subtracted from the measurement.
- Therefore, the zero error is 0.15 cm - 0.10 cm = 0.05 cm.
Step 4: Finding the Diameter of the Cylinder
- The 24th division of the Vernier scale exactly coincides with one of the main scale divisions.
- This means that the measurement on the Vernier scale is 24 * 0.049 cm = 1.176 cm.
- However, we need to subtract the zero error from this measurement.
- Therefore, the corrected measurement on the Vernier scale is 1.176 cm - 0.05 cm = 1.126 cm.
- The measurement on the main scale is 5.10 cm.
- Therefore, the diameter of the cylinder is 5.10 cm + 1.126 cm = 6.226 cm.
Answer:
The diameter of the cylinder is 5.124 cm (option B).
- The zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale.
- The Vernier scale has 50 divisions equivalent to 2.45 cm.
- The 24th division of the Vernier scale exactly coincides with one of the main scale divisions.
To find:
The diameter of the cylinder.
Solution:
Step 1: Understanding the Vernier Scale
- The Vernier scale is a measuring instrument that provides a more precise measurement than a regular scale.
- It consists of a main scale and a Vernier scale.
- The main scale is divided into centimeters (cm) and millimeters (mm).
- The Vernier scale is divided into smaller divisions that are slightly smaller than the divisions on the main scale.
- The Vernier scale is used to measure the difference between two adjacent main scale divisions.
Step 2: Finding the Value of One Vernier Scale Division
- The Vernier scale has 50 divisions equivalent to 2.45 cm.
- Therefore, one Vernier scale division is equal to 2.45 cm / 50 = 0.049 cm.
Step 3: Finding the Zero Error
- The zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale.
- This means that the zero of the Vernier scale is offset from the zero of the main scale by a value between 0.10 cm and 0.15 cm.
- Since there is no zero error, this offset should be subtracted from the measurement.
- Therefore, the zero error is 0.15 cm - 0.10 cm = 0.05 cm.
Step 4: Finding the Diameter of the Cylinder
- The 24th division of the Vernier scale exactly coincides with one of the main scale divisions.
- This means that the measurement on the Vernier scale is 24 * 0.049 cm = 1.176 cm.
- However, we need to subtract the zero error from this measurement.
- Therefore, the corrected measurement on the Vernier scale is 1.176 cm - 0.05 cm = 1.126 cm.
- The measurement on the main scale is 5.10 cm.
- Therefore, the diameter of the cylinder is 5.10 cm + 1.126 cm = 6.226 cm.
Answer:
The diameter of the cylinder is 5.124 cm (option B).
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Community Answer
The diameter of a cylinder is measured using a Vernier callipers with ...
Main scale can measure 5.10 and 5.15
: Main scaledivision (s) =0.05cm
Also, vernier scale division (v)
= 2.45/50
= 4.9/100
= 0.049cm/div
Thus, least count
= 0.05-0.049=0.001cm
Diameter = 5.10+24×0.001
= 5.124cm
: Main scaledivision (s) =0.05cm
Also, vernier scale division (v)
= 2.45/50
= 4.9/100
= 0.049cm/div
Thus, least count
= 0.05-0.049=0.001cm
Diameter = 5.10+24×0.001
= 5.124cm
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The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer?
Question Description
The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer?.
The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24thdivision of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder isa)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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