The least counts of a vernier calipers and a screw gauge are in the ratio of 5 : 1. The main scales ofboth the instruments are marked in mm. The zero error on the vernier calipers is +0.15 mm where as that on screw gauge is –0.06 mm. If the diameter of a rod lies between 0.9 cm and 1.0 cm, and x and y are the VCD and CSR on the two instruments, relation between x and y given that the number of C.S.D. = 100, is

Open in App

Solution

Suggest Corrections

Similar questions

Consider a Vernier calipers in which each $1 c m$ on the main scale is divided into $8$ equal divisions and a screw gauge with $100$ divisions on its circular scale. In the Vernier callipers, $5$ divisions of the Vernier scale coincide with $4$ divisions on the main scale and in the screw gauge, one complete rotation of the circular scale moves it by two divisions on the linear scale. Then

Q. On the basis of details given about two measuring instruments, select the correct statement .

(i) Vernier callipers having main scale division=0.05 cm and Vernier scale division

= \frac{2.45}{50}

cm

(ii) Screw gauge having pitch 0.5 mm and its circular scale has 50 divisions

Q. To measure the volume of a cylinderical wire, its diameter is measured by a screw gauge and is found to be 1.25 mm, and its length is measured with a vernier caliper and is found to be 5.50 cm. The least count of the screw gauge is 0.01 mm, and that of the vernier caliper is 0.01 cm.

Q. Let

A

represents the least count of a vernier caliper whose 10 main scale divisions are equal in length to 12 vernier scale divisions, and one main scale division is equal to 1 mm. Say

B

represents the least count of a screw gauge with 25 circular scale divisions and a pitch of 1 mm,

A - B

in mm is

Q. A vernier caliper has positive zero error of 0.2 mm. While finding the diameter of a brass rod the MSR is 6 mm and the VCD is 5. Similarly, the MSR and VCD while finding the length of the rod are 43 and 6. If the least count of vernier calipers is 0.01 cm, the volume of the cylinder is ____

{m m}^{3} .

Join BYJU'S Learning Program