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In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:
- a)1.804 cm
- b)1.840 cm
- c)1.800 cm
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a vernier calliper, there are 10 divisions on the vernier scale and...
Length of 1 main scale division = 1/10 = 0.1 cm
No. of vernier scale divisions = 10
Main scale reading = 1.8 cm
Coinciding vernier scale division = 4th
No. of vernier scale divisions = 10
Main scale reading = 1.8 cm
Coinciding vernier scale division = 4th
Least Count
= Length of smallest main scale division / No. of vernier scale divisions
= 0.1/10
= 0.01 cm
(vernier calliper has a least count 0.01 cm. So, measurement is accurate only upto
three significant figures.)
= Length of smallest main scale division / No. of vernier scale divisions
= 0.1/10
= 0.01 cm
(vernier calliper has a least count 0.01 cm. So, measurement is accurate only upto
three significant figures.)
length
= Main scale reading + Coinciding vernier scale division × LC
= 1.8 + 4 × 0.01
= 1.8 + 0.04
= 1.84 cm
= Main scale reading + Coinciding vernier scale division × LC
= 1.8 + 4 × 0.01
= 1.8 + 0.04
= 1.84 cm
Most Upvoted Answer
In a vernier calliper, there are 10 divisions on the vernier scale and...
Given information:
- There are 10 divisions on the vernier scale.
- 1 cm on the main scale is divided into 10 parts.
- The zero of the vernier scale lies just ahead of the 1.8 cm mark on the main scale.
- The 4th division of the vernier scale coincides with a main scale division.
To find the value of the length being measured, we need to determine the reading on both the main scale and the vernier scale.
Main Scale Reading:
The zero of the vernier scale lies just ahead of the 1.8 cm mark on the main scale. This means that the main scale reading is 1.8 cm.
Vernier Scale Reading:
The 4th division of the vernier scale coincides with a main scale division. Since there are 10 divisions on the vernier scale and 1 cm on the main scale is divided into 10 parts, each division on the vernier scale is equal to 0.1 cm.
So, the vernier scale reading can be calculated as follows:
Vernier Scale Reading = (Number of divisions on the vernier scale) x (Value of 1 division on the vernier scale)
= 4 x 0.1 cm
= 0.4 cm
Total Reading:
The total reading is the sum of the main scale reading and the vernier scale reading.
Total Reading = Main Scale Reading + Vernier Scale Reading
= 1.8 cm + 0.4 cm
= 2.2 cm
Therefore, the value of the length being measured is 2.2 cm. Since none of the given options match this value, the correct answer is none of these (option D).
- There are 10 divisions on the vernier scale.
- 1 cm on the main scale is divided into 10 parts.
- The zero of the vernier scale lies just ahead of the 1.8 cm mark on the main scale.
- The 4th division of the vernier scale coincides with a main scale division.
To find the value of the length being measured, we need to determine the reading on both the main scale and the vernier scale.
Main Scale Reading:
The zero of the vernier scale lies just ahead of the 1.8 cm mark on the main scale. This means that the main scale reading is 1.8 cm.
Vernier Scale Reading:
The 4th division of the vernier scale coincides with a main scale division. Since there are 10 divisions on the vernier scale and 1 cm on the main scale is divided into 10 parts, each division on the vernier scale is equal to 0.1 cm.
So, the vernier scale reading can be calculated as follows:
Vernier Scale Reading = (Number of divisions on the vernier scale) x (Value of 1 division on the vernier scale)
= 4 x 0.1 cm
= 0.4 cm
Total Reading:
The total reading is the sum of the main scale reading and the vernier scale reading.
Total Reading = Main Scale Reading + Vernier Scale Reading
= 1.8 cm + 0.4 cm
= 2.2 cm
Therefore, the value of the length being measured is 2.2 cm. Since none of the given options match this value, the correct answer is none of these (option D).
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In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. 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 In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. Can you explain this answer?.
In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. 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 In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a vernier calliper, there are 10 divisions on the vernier scale and 1 cm on main scale is divided in 10 parts. While measuring a length, the zero of the vernier scale lies just ahead of 1.8 cm mark and 4th division of vernier scale coincides with a main scale division. The value of length is:a)1.804 cmb)1.840 cmc)1.800 cmd)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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