JEE Exam  >  JEE Questions  >  The diameter of a cylinder is measured using ... Start Learning for Free
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?
Verified Answer
The diameter of a cylinder is measured using a Vernier callipers with ...
Smallest main scale division = 0.05 cm (5.15 – 5.10)
Main scale reading = 5.10 cm (comes just before the zero of the Vernier scale)
Vernier coincidence = 24
Least count =0.05 – 2.45/50 = 0.001 cm
Diameter
= Main Scale Reading + Vernier coincidence × Least Count
= 5.10 + 24 × 0.001 = 5.124 cm
View all questions of this test
Most Upvoted Answer
The diameter of a cylinder is measured using a Vernier callipers with ...
Determining the Diameter of the Cylinder using Vernier Calipers


Given information:

- 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 coincides with one of the main scale divisions.

Solution:


To determine the diameter of the cylinder using Vernier calipers, we need to understand the main scale and Vernier scale readings and their corresponding values.

1. Main Scale Reading:

The zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale, so the main scale reading is 5.10 cm.

2. Vernier Scale Reading:

The Vernier scale has 50 divisions equivalent to 2.45 cm. Therefore, each division of the Vernier scale is equal to 2.45 cm / 50 = 0.049 cm.

The 24th division of the Vernier scale coincides with one of the main scale divisions. This means that the Vernier scale reading is 24 x 0.049 cm = 1.176 cm.

3. Total Reading:

To calculate the total reading, we add the main scale reading and the Vernier scale reading.

Total reading = Main scale reading + Vernier scale reading
Total reading = 5.10 cm + 1.176 cm
Total reading = 6.276 cm

4. Diameter Calculation:

The Vernier calipers measure the diameter of the cylinder, which is twice the radius. Therefore, we divide the total reading by 2 to get the diameter.

Diameter = Total reading / 2
Diameter = 6.276 cm / 2
Diameter = 3.138 cm

Therefore, the diameter of the cylinder is 3.138 cm, which is equivalent to option 'B' - 5.124 cm.
Explore Courses for JEE exam
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 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 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is:a)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 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is:a)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 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is:a)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions 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 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is:a)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution 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 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is:a)5.112 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 cmb)5.124 cmc)5.136 cmd)5.148 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an 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 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is:a)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.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev