Vernier Caliper

Q.

The least count of the main scale of a vernier callipers is $1$mm. Its vernier scale is divided into $10$ divisions and coincide with 9 divisions of the main scale. When jaws are touching each other, the $7th$ division of vernier scale coincides with a division of main scale and the zero of vernier scale is lying right side of the zero of main scale. When this vernier is used to measure length of a cylinder the zero of the vernier scale between $3.1$ cm and $3.2$ cm and $4th$ VSD coincides with a main scale division. The length of the cylinder is: (VSD is vernier scale division)

1. $3.21cm$

2. $3.07cm$

3. $2.99cm$

4. $3.2cm$

Q. While measuring the zero error of a vernier we see that zero of vernier scale is to the right of the zero marking of the main scale with $6^{th}$ vernier division coinciding with main scale divisions. If the least count of the vernier is 0.1 mm then find its zero error and the correction reuired in the measurements made by it.

1. Zero error = 6mm and Correction = -6mm
2. Zero error = 0.6mm and Correction = 0.6mm
3. Zero error = 6mm and Correction = 6mm
4. Zero error = 0.6mm and Correction = -0.6mm

Q. A wooden ruler’s markings have worn out, and the only marks left are shown (in inches). How many integral inches between 1 and 12 cannot be measured directly with it?

1. 0
2. 1
3. 2
4. 3

Q. The sale of electric bulbs on different days of a week is shown below:
Observe the pictograph and answer the following questions:
If one bulb was sold at the rate of Rs 10, what was the total earning on Sunday?

Q. A Vernier caliper has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier caliper, the least count is:

1. 0.05 mm

2. 0.1 mm

3. 0.2 mm

4. 0.02 mm

Q.

The side of a cube is measured by a vernier caliper (10 divisions of a vernier scale coincide with 9 divisions of main scale, where 1 division of main scale is 1 mm). The main scale reads 10 mm and first division of vernier scale coincides with the main scale. Mass of the cube is 2.736g. Find the density of the cube in appropriate significant figures.

[IIT JEE 2005]

1. $2.6g/c{m}^3$

2. $2.655g/c{m}^3$

3. $2.65g/c{m}^3$

4. None of these

Q. The least integer greater than ${\log }_{2}15\cdot {\log }_{\frac{1}{6}}2\cdot {\log }_3\frac{1}{6}$ is equal to

Q. Consider the following data for a vernier calliper:
10 main scale division = 1 cm.
10 vernier division matches with 9 Main scale division.

While measuring the zero error of the vernier we see that zero of vernier scale is to the right of the zero marking of the main scale with $6^{th}$ vernier division coinciding with main scale divisions.

The actual reading for length measurement is 4.3 cm with 2nd vernier division coinciding with main scale graduation.

Estimate the length.

1. 4.32 $cm$

2. 4.38 $cm$

3. 4.26 $cm$

4. 4.36 $cm$

Q.

Find the least count of a vernier caliper whose 50 vernier scale divisions match with 49 main scale divisions?

Given: least count of main scale is 1 mm.

1. 0.1 mm

2. 0.02 mm

3. 0.05 mm

4. 0.001 mm