
Which of the following is the most precise device for measuring length?
A. A vernier caliper with 20 divisions on the sliding scale.
B. A screw gauge of pitch 1mm and 100 divisions on the circular scale.
C. An optical instrument that can measure length to within a wavelength of light.
D. All instruments have the same precision.
Answer
523.2k+ views
Hint: In the science of measurement, the least count of a measuring instrument is the smallest and accurate value in the measured quantity that can be resolved on the instrumentโs scale.
Complete Step by step solution:
The smallest value that can be measured by the measuring instrument is called its least count. Measured values are good only up to this value. The least count error is the error associated with the resolution of the instrument
The device having a minimum least count is more accurate. The more accurate the device the minimum the least count should be.
For vernier calipers with 20 divisions on the sliding scale
The least count is
\[
L.C = \dfrac{1}{{20}}mm \\
= 0.05mm \\
\]
For screw gauge of pitch 1mm and 100 divisions on the circular scale
The least count is
$
L.C = \dfrac{{1mm}}{{100}} \\
= 0.01mm \\
$
For optical instrument that can measure length to within a wavelength of light
Wavelength of light is $ \approx 590nm $
So the optical can measure upto $ \approx 590nm $
Thus the optical instrument is having the minimum least count among all the instruments listed.
So the optical instrument is most precise of all the listed instruments.
Note: Please make sure to calculate the least count accurately in accordance to the number of divisions provided on the instrument because this will be a deciding factor in knowing how accurate the instrument is.
Complete Step by step solution:
The smallest value that can be measured by the measuring instrument is called its least count. Measured values are good only up to this value. The least count error is the error associated with the resolution of the instrument
The device having a minimum least count is more accurate. The more accurate the device the minimum the least count should be.
For vernier calipers with 20 divisions on the sliding scale
The least count is
\[
L.C = \dfrac{1}{{20}}mm \\
= 0.05mm \\
\]
For screw gauge of pitch 1mm and 100 divisions on the circular scale
The least count is
$
L.C = \dfrac{{1mm}}{{100}} \\
= 0.01mm \\
$
For optical instrument that can measure length to within a wavelength of light
Wavelength of light is $ \approx 590nm $
So the optical can measure upto $ \approx 590nm $
Thus the optical instrument is having the minimum least count among all the instruments listed.
So the optical instrument is most precise of all the listed instruments.
Note: Please make sure to calculate the least count accurately in accordance to the number of divisions provided on the instrument because this will be a deciding factor in knowing how accurate the instrument is.
Watch videos on
Which of the following is the most precise device for measuring length?
A. A vernier caliper with 20 divisions on the sliding scale.
B. A screw gauge of pitch 1mm and 100 divisions on the circular scale.
C. An optical instrument that can measure length to within a wavelength of light.
D. All instruments have the same precision.
A. A vernier caliper with 20 divisions on the sliding scale.
B. A screw gauge of pitch 1mm and 100 divisions on the circular scale.
C. An optical instrument that can measure length to within a wavelength of light.
D. All instruments have the same precision.

NCERT EXERCISE 1.6 | NCERT Solution for Class 11 Physics Chapter 1 | Units and Measurement NCERT
Subscribe
likes
6.6K Views
1 year ago
Recently Updated Pages
Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Class 10 Question and Answer - Your Ultimate Solutions Guide

Master Class 12 Biology: Engaging Questions & Answers for Success

Trending doubts
Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

On an outline map of India show its neighbouring c class 9 social science CBSE

The highest mountain peak in India is A Kanchenjunga class 9 social science CBSE

Write the 6 fundamental rights of India and explain in detail
