Answer the following:
(a) You are given a thread and a metre scale. How will you estimatethe diameter of the thread?
(b) A screw gauge has a pitch of 1.0 mm and 200 divisions on thecircular scale. Do you think it is possible to increase the accuracyof the screw gauge arbitrarily by increasing the number of divisionson the circular scale?
(c) The mean diameter of a thin brassrod is to be measured by vernier callipers. Why is a set of 100measurements of the diameter expected to yield a more reliableestimate than a set of 5 measurements only?

Open in App

Solution

(a) Wrap the thread on a uniform smooth rod in such a way that thecoils thus formed are very close to each other. Measure the length ofthe thread using a metre scale. The diameter of the thread is givenby the relation,

(b) It is not possible to increase the accuracy of a screw gauge byincreasing the number of divisions of the circular scale. Increasingthe number divisions of the circular scale will increase its accuracyto a certain extent only.
(c) A set of 100 measurements is more reliable than a set of 5measurements because random errors involved in the former are veryless as compared to the latter.

Suggest Corrections

Similar questions

Answer the following:

(a) You are given a thread and a metre scale. How will you estimate the diameter of the thread?

(b) A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale?

(c) The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?

Q. Answer the following : (a)You are given a thread and a metre scale. How will you estimate the diameter of the thread ? (b)A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale ? (c) The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only ?

The pitch of a screw gauge is 1 mm and there are 100 division on the circular scale. A students measures a diameter of a wire using this screw gauge and he gets main scale reading as 5 mm and circular divisions as 25. If the screw gauge has positive zero error $0.03 m m$ , the correct value of diameter will be

While performing an experiment with a screw gauge to measure the diameter of a wire, a student finds that when the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies 5 divisions above the line of graduation. The pitch of the screw gauge is 1 mm and has 100 divisions on its circular scale. While measuring the diameter of the wire, 4 linear scale divisions are clearly visible while $63^{r d}$ division on the circular scale coincides with the reference line. What is the diameter of the wire?

Q. A screw gauge of pitch

1

mm has a circular scale divided into

100

divisions. The diameter of a wire is to measured by above said screw gauge. The main scale reading is

1

mm and

47^{t h}

circular division coincides with main scale. Find the curved surface area of wire in true significant figures. (Given the length of wire is equal to

5.6

cm and there is no zero-error in the screw gauge)

Join BYJU'S Learning Program